GCD of 634, 274, 654, 138 Calculator

Given Input numbers are 634, 274, 654, 138

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

Divisors of 634 :

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

1, 2, 317, 634

Divisors of 274 :

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

1, 2, 137, 274

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (634, 274, 654, 138) = 2.

Given numbers are 634, 274, 654, 138

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 274 are 2 x 137

Prime factors of 654 are 2 x 3 x 109

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 634, 274, 654, 138 is 2.

Given numbers are 634, 274, 654, 138

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

Apply this formula for all numbers.

Step1:

LCM(634, 274) = 86858

GCD(634, 274) = ( 634 x 274 ) / 86858

= 634 / 274

= 634

Step2:

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

= 2 / 654

= 2

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 634, 274, 654, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 757, 614, 872
• GCD of 268, 994, 580, 741
• GCD of 781, 744, 139, 469
• GCD of 167, 663, 855, 728
• GCD of 376, 702, 430, 411

Given numbers are 634, 274, 654, 138
The greatest common divisor of numbers 634, 274, 654, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 274, 654, 138 is 2.

1. What is the GCD of 634, 274, 654, 138?

GCD of given numbers 634, 274, 654, 138 is 2

2. How to calculate the greatest common divisor of 634, 274, 654, 138?

We can find the highest common divisor of 634, 274, 654, 138 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 634, 274, 654, 138 i.e 2.

3. How can I use the GCD of 634, 274, 654, 138Calculator?

Out the numbers 634, 274, 654, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.