8 calculators in this category
- GCF / GCD CalculatorEuclidean algorithm (Euclid's Elements, Book VII)Enter two, three or four whole numbers and this calculator returns their greatest common factor — the largest integer that…
- LCM CalculatorFundamental theorem of arithmetic; Euclidean algorithmEnter two, three or four whole numbers and this calculator returns their least common multiple — the smallest positive number…
- Prime Factorization CalculatorFundamental theorem of arithmeticEvery whole number above 1 is a product of prime numbers, and that product is unique apart from the order of the factors. This…
- Prime Number Checker CalculatorDeterministic trial divisionEnter a whole number and this calculator says whether it is prime, and if not, names the smallest prime that divides it —…
- Factors of a Number CalculatorEnter a whole number and this calculator lists every divisor, pairs them up, and reports the two functions number theorists…
- Long Division Calculator with RemainderEuclidean division algorithmEnter a dividend and a divisor and this calculator returns the quotient and remainder, the exact decimal value, and the…
- Modulo CalculatorEuclidean division conventionThis calculator reduces a number modulo n using the mathematical convention, so the result is always between zero and n…
- Base Conversion CalculatorPositional notation, radix 2 to 36Type a value, say what base it is written in, and choose the base you want it in. This converter handles every radix from 2 to…
Which one do you need?
- GCF / GCD Calculator
- Find the greatest common factor of two, three or four integers by the Euclidean algorithm and by prime factorization, with every step shown and the LCM too.
- LCM Calculator
- Find the least common multiple of two, three or four integers using the GCD relation and prime factorization, with every step, the LCD and a multiples table.
- Prime Factorization Calculator
- Break any integer into its prime factors with exponents, and get the divisor count, sum of divisors, Euler totient and the largest prime factor.
- Prime Number Checker Calculator
- Test whether a number is prime, find its smallest factor and its nearest prime neighbours, and list every prime in a range you choose, with the working shown.
- Factors of a Number Calculator
- List every factor of a whole number with its factor pairs, and get the divisor count, the divisor sum and whether the number is perfect, abundant or deficient.
- Long Division Calculator with Remainder
- Divide two whole numbers and see the quotient, the remainder and the full digit-by-digit long-division layout, continued to as many decimal places as you want.
- Modulo Calculator
- Compute a mod n with the mathematical least non-negative convention, compare it with the programming remainder, and get modular sums, products, powers and inverses.
- Base Conversion Calculator
- Convert whole numbers and fractions between any two bases from 2 to 36. See the positional expansion, the repeated-division digits, and binary, octal and hex.
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