GCD of 274, 280, 634, 422 Calculator

Given Input numbers are 274, 280, 634, 422

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 422 :

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

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (274, 280, 634, 422) = 2.

Given numbers are 274, 280, 634, 422

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 634 are 2 x 317

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 274, 280, 634, 422 is 2.

Given numbers are 274, 280, 634, 422

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

Apply this formula for all numbers.

Step1:

LCM(274, 280) = 38360

GCD(274, 280) = ( 274 x 280 ) / 38360

= 274 / 280

= 274

Step2:

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

= 2 / 634

= 2

Step3:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

So, Greatest Common Divisor of 274, 280, 634, 422 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 656, 441, 908
• GCD of 997, 677, 552, 815
• GCD of 646, 289, 369, 213
• GCD of 560, 266, 535, 578
• GCD of 110, 277, 120, 916

Given numbers are 274, 280, 634, 422
The greatest common divisor of numbers 274, 280, 634, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 280, 634, 422 is 2.

1. What is the GCD of 274, 280, 634, 422?

GCD of given numbers 274, 280, 634, 422 is 2

2. How to calculate the greatest common divisor of 274, 280, 634, 422?

We can find the highest common divisor of 274, 280, 634, 422 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 274, 280, 634, 422 i.e 2.

3. How can I use the GCD of 274, 280, 634, 422Calculator?

Out the numbers 274, 280, 634, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.