GCD of 422, 524, 452, 676 Calculator

Given Input numbers are 422, 524, 452, 676

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 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 676 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (422, 524, 452, 676) = 2.

Given numbers are 422, 524, 452, 676

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 524 are 2 x 2 x 131

Prime factors of 452 are 2 x 2 x 113

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

The highest common occurrence is 2¹

Therefore, GCD of 422, 524, 452, 676 is 2.

Given numbers are 422, 524, 452, 676

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

Apply this formula for all numbers.

Step1:

LCM(422, 524) = 110564

GCD(422, 524) = ( 422 x 524 ) / 110564

= 422 / 524

= 422

Step2:

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

= 2 / 452

= 2

Step3:

LCM(2, 676) = 676

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

= 2 / 676

= 2

So, Greatest Common Divisor of 422, 524, 452, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 965, 366, 745
• GCD of 338, 756, 354, 784
• GCD of 371, 487, 429, 338
• GCD of 438, 764, 968, 923
• GCD of 145, 328, 635, 625

Given numbers are 422, 524, 452, 676
The greatest common divisor of numbers 422, 524, 452, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 524, 452, 676 is 2.

1. What is the GCD of 422, 524, 452, 676?

GCD of given numbers 422, 524, 452, 676 is 2

2. How to calculate the greatest common divisor of 422, 524, 452, 676?

We can find the highest common divisor of 422, 524, 452, 676 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, 524, 452, 676 i.e 2.

3. How can I use the GCD of 422, 524, 452, 676Calculator?

Out the numbers 422, 524, 452, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.