GCD of 126, 702, 756, 920 Calculator

Given Input numbers are 126, 702, 756, 920

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (126, 702, 756, 920) = 2.

Given numbers are 126, 702, 756, 920

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 126, 702, 756, 920 is 2.

Given numbers are 126, 702, 756, 920

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

Apply this formula for all numbers.

Step1:

LCM(126, 702) = 4914

GCD(126, 702) = ( 126 x 702 ) / 4914

= 126 / 702

= 126

Step2:

LCM(18, 756) = 756

GCD(18, 756) = ( 18 x 756 ) / 756

= 18 / 756

= 18

Step3:

LCM(18, 920) = 8280

GCD(18, 920) = ( 18 x 920 ) / 8280

= 18 / 920

= 18

So, Greatest Common Divisor of 126, 702, 756, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 808, 245, 364
• GCD of 446, 608, 213, 770
• GCD of 547, 839, 921, 337
• GCD of 642, 785, 930, 238
• GCD of 934, 688, 291, 934

Given numbers are 126, 702, 756, 920
The greatest common divisor of numbers 126, 702, 756, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 702, 756, 920 is 2.

1. What is the GCD of 126, 702, 756, 920?

GCD of given numbers 126, 702, 756, 920 is 2

2. How to calculate the greatest common divisor of 126, 702, 756, 920?

We can find the highest common divisor of 126, 702, 756, 920 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 126, 702, 756, 920 i.e 2.

3. How can I use the GCD of 126, 702, 756, 920Calculator?

Out the numbers 126, 702, 756, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.