GCD of 422, 972, 676, 336 Calculator

Given Input numbers are 422, 972, 676, 336

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

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 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

GCD of numbers is the greatest common divisor

So, the GCD (422, 972, 676, 336) = 2.

Given numbers are 422, 972, 676, 336

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

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

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 422, 972, 676, 336 is 2.

Given numbers are 422, 972, 676, 336

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

Apply this formula for all numbers.

Step1:

LCM(422, 972) = 205092

GCD(422, 972) = ( 422 x 972 ) / 205092

= 422 / 972

= 422

Step2:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

Step3:

LCM(2, 336) = 336

GCD(2, 336) = ( 2 x 336 ) / 336

= 2 / 336

= 2

So, Greatest Common Divisor of 422, 972, 676, 336 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 306, 112, 672
• GCD of 782, 673, 973, 792
• GCD of 385, 874, 560, 284
• GCD of 152, 448, 138, 710
• GCD of 625, 526, 329, 606

Given numbers are 422, 972, 676, 336
The greatest common divisor of numbers 422, 972, 676, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 972, 676, 336 is 2.

1. What is the GCD of 422, 972, 676, 336?

GCD of given numbers 422, 972, 676, 336 is 2

2. How to calculate the greatest common divisor of 422, 972, 676, 336?

We can find the highest common divisor of 422, 972, 676, 336 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 422, 972, 676, 336 i.e 2.

3. How can I use the GCD of 422, 972, 676, 336Calculator?

Out the numbers 422, 972, 676, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.