GCD of 312, 364, 501, 986 Calculator

Given Input numbers are 312, 364, 501, 986

In the factoring method, we have to find the divisors of all numbers

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

GCD of numbers is the greatest common divisor

So, the GCD (312, 364, 501, 986) = 1.

Given numbers are 312, 364, 501, 986

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 501 are 3 x 167

Prime factors of 986 are 2 x 17 x 29

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 312, 364, 501, 986

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(312, 364) = 2184

GCD(312, 364) = ( 312 x 364 ) / 2184

= 312 / 364

= 312

Step2:

LCM(52, 501) = 26052

GCD(52, 501) = ( 52 x 501 ) / 26052

= 52 / 501

= 52

Step3:

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

= 1 / 986

= 1

So, Greatest Common Divisor of 312, 364, 501, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 569, 890, 626
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Given numbers are 312, 364, 501, 986
The greatest common divisor of numbers 312, 364, 501, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 364, 501, 986 is 1.

1. What is the GCD of 312, 364, 501, 986?

GCD of given numbers 312, 364, 501, 986 is 1

2. How to calculate the greatest common divisor of 312, 364, 501, 986?

We can find the highest common divisor of 312, 364, 501, 986 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 312, 364, 501, 986 i.e 1.

3. How can I use the GCD of 312, 364, 501, 986Calculator?

Out the numbers 312, 364, 501, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.