GCD of 634, 682, 656, 918 Calculator

Given Input numbers are 634, 682, 656, 918

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 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (634, 682, 656, 918) = 2.

Given numbers are 634, 682, 656, 918

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 682 are 2 x 11 x 31

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 634, 682, 656, 918 is 2.

Given numbers are 634, 682, 656, 918

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

Apply this formula for all numbers.

Step1:

LCM(634, 682) = 216194

GCD(634, 682) = ( 634 x 682 ) / 216194

= 634 / 682

= 634

Step2:

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

= 2 / 656

= 2

Step3:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

So, Greatest Common Divisor of 634, 682, 656, 918 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 483, 516, 461, 713
• GCD of 242, 900, 613, 426
• GCD of 448, 158, 478, 457
• GCD of 994, 913, 980, 188
• GCD of 620, 182, 603, 550

Given numbers are 634, 682, 656, 918
The greatest common divisor of numbers 634, 682, 656, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 682, 656, 918 is 2.

1. What is the GCD of 634, 682, 656, 918?

GCD of given numbers 634, 682, 656, 918 is 2

2. How to calculate the greatest common divisor of 634, 682, 656, 918?

We can find the highest common divisor of 634, 682, 656, 918 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, 682, 656, 918 i.e 2.

3. How can I use the GCD of 634, 682, 656, 918Calculator?

Out the numbers 634, 682, 656, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.