GCD of 368, 630, 56, 634 Calculator

Given Input numbers are 368, 630, 56, 634

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

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 56 :

The positive integer divisors of 56 that completely divides 56 are.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 634 :

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

1, 2, 317, 634

GCD of numbers is the greatest common divisor

So, the GCD (368, 630, 56, 634) = 2.

Given numbers are 368, 630, 56, 634

The list of prime factors of all numbers are

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 56 are 2 x 2 x 2 x 7

Prime factors of 634 are 2 x 317

The highest common occurrence is 2¹

Therefore, GCD of 368, 630, 56, 634 is 2.

Given numbers are 368, 630, 56, 634

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

Apply this formula for all numbers.

Step1:

LCM(368, 630) = 115920

GCD(368, 630) = ( 368 x 630 ) / 115920

= 368 / 630

= 368

Step2:

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

= 2 / 56

= 2

Step3:

LCM(2, 634) = 634

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

= 2 / 634

= 2

So, Greatest Common Divisor of 368, 630, 56, 634 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 357, 847, 66, 635
• GCD of 456, 867, 52, 950
• GCD of 789, 854, 27, 786
• GCD of 315, 959, 41, 440
• GCD of 555, 170, 70, 708

Given numbers are 368, 630, 56, 634
The greatest common divisor of numbers 368, 630, 56, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 630, 56, 634 is 2.

1. What is the GCD of 368, 630, 56, 634?

GCD of given numbers 368, 630, 56, 634 is 2

2. How to calculate the greatest common divisor of 368, 630, 56, 634?

We can find the highest common divisor of 368, 630, 56, 634 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 368, 630, 56, 634 i.e 2.

3. How can I use the GCD of 368, 630, 56, 634Calculator?

Out the numbers 368, 630, 56, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.