GCD of 126, 704, 826, 920 Calculator

Given Input numbers are 126, 704, 826, 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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

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, 704, 826, 920) = 2.

Given numbers are 126, 704, 826, 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 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 826 are 2 x 7 x 59

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

The highest common occurrence is 2¹

Therefore, GCD of 126, 704, 826, 920 is 2.

Given numbers are 126, 704, 826, 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, 704) = 44352

GCD(126, 704) = ( 126 x 704 ) / 44352

= 126 / 704

= 126

Step2:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

So, Greatest Common Divisor of 126, 704, 826, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 136, 816, 103
• GCD of 982, 145, 864, 465
• GCD of 432, 473, 269, 497
• GCD of 245, 100, 965, 593
• GCD of 696, 951, 159, 897

Given numbers are 126, 704, 826, 920
The greatest common divisor of numbers 126, 704, 826, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 704, 826, 920 is 2.

1. What is the GCD of 126, 704, 826, 920?

GCD of given numbers 126, 704, 826, 920 is 2

2. How to calculate the greatest common divisor of 126, 704, 826, 920?

We can find the highest common divisor of 126, 704, 826, 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, 704, 826, 920 i.e 2.

3. How can I use the GCD of 126, 704, 826, 920Calculator?

Out the numbers 126, 704, 826, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.