GCD of 316, 972, 342, 357 Calculator

Given Input numbers are 316, 972, 342, 357

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 357 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (316, 972, 342, 357) = 1.

Given numbers are 316, 972, 342, 357

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 357 are 3 x 7 x 17

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

Given numbers are 316, 972, 342, 357

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

Apply this formula for all numbers.

Step1:

LCM(316, 972) = 76788

GCD(316, 972) = ( 316 x 972 ) / 76788

= 316 / 972

= 316

Step2:

LCM(4, 342) = 684

GCD(4, 342) = ( 4 x 342 ) / 684

= 4 / 342

= 4

Step3:

LCM(2, 357) = 714

GCD(2, 357) = ( 2 x 357 ) / 714

= 2 / 357

= 2

So, Greatest Common Divisor of 316, 972, 342, 357 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 970, 468, 465
• GCD of 855, 771, 206, 384
• GCD of 566, 971, 862, 885
• GCD of 719, 465, 819, 238
• GCD of 640, 320, 654, 415

Given numbers are 316, 972, 342, 357
The greatest common divisor of numbers 316, 972, 342, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 972, 342, 357 is 1.

1. What is the GCD of 316, 972, 342, 357?

GCD of given numbers 316, 972, 342, 357 is 1

2. How to calculate the greatest common divisor of 316, 972, 342, 357?

We can find the highest common divisor of 316, 972, 342, 357 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 316, 972, 342, 357 i.e 1.

3. How can I use the GCD of 316, 972, 342, 357Calculator?

Out the numbers 316, 972, 342, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.