GCD of 357, 966, 507, 314 Calculator

Given Input numbers are 357, 966, 507, 314

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (357, 966, 507, 314) = 1.

Given numbers are 357, 966, 507, 314

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 507 are 3 x 13 x 13

Prime factors of 314 are 2 x 157

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

Given numbers are 357, 966, 507, 314

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

Apply this formula for all numbers.

Step1:

LCM(357, 966) = 16422

GCD(357, 966) = ( 357 x 966 ) / 16422

= 357 / 966

= 357

Step2:

LCM(21, 507) = 3549

GCD(21, 507) = ( 21 x 507 ) / 3549

= 21 / 507

= 21

Step3:

LCM(3, 314) = 942

GCD(3, 314) = ( 3 x 314 ) / 942

= 3 / 314

= 3

So, Greatest Common Divisor of 357, 966, 507, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 877, 316, 185
• GCD of 228, 273, 109, 875
• GCD of 760, 576, 111, 213
• GCD of 608, 605, 760, 687
• GCD of 532, 991, 555, 416

Given numbers are 357, 966, 507, 314
The greatest common divisor of numbers 357, 966, 507, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 966, 507, 314 is 1.

1. What is the GCD of 357, 966, 507, 314?

GCD of given numbers 357, 966, 507, 314 is 1

2. How to calculate the greatest common divisor of 357, 966, 507, 314?

We can find the highest common divisor of 357, 966, 507, 314 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 357, 966, 507, 314 i.e 1.

3. How can I use the GCD of 357, 966, 507, 314Calculator?

Out the numbers 357, 966, 507, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.