GCD of 972, 900, 426, 826 Calculator

Given Input numbers are 972, 900, 426, 826

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 826 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (972, 900, 426, 826) = 2.

Given numbers are 972, 900, 426, 826

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 426 are 2 x 3 x 71

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 972, 900, 426, 826 is 2.

Given numbers are 972, 900, 426, 826

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

Apply this formula for all numbers.

Step1:

LCM(972, 900) = 24300

GCD(972, 900) = ( 972 x 900 ) / 24300

= 972 / 900

= 972

Step2:

LCM(36, 426) = 2556

GCD(36, 426) = ( 36 x 426 ) / 2556

= 36 / 426

= 36

Step3:

LCM(6, 826) = 2478

GCD(6, 826) = ( 6 x 826 ) / 2478

= 6 / 826

= 6

So, Greatest Common Divisor of 972, 900, 426, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 877, 843, 494
• GCD of 194, 676, 238, 183
• GCD of 337, 690, 837, 492
• GCD of 387, 187, 255, 122
• GCD of 273, 506, 692, 667

Given numbers are 972, 900, 426, 826
The greatest common divisor of numbers 972, 900, 426, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 900, 426, 826 is 2.

1. What is the GCD of 972, 900, 426, 826?

GCD of given numbers 972, 900, 426, 826 is 2

2. How to calculate the greatest common divisor of 972, 900, 426, 826?

We can find the highest common divisor of 972, 900, 426, 826 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 972, 900, 426, 826 i.e 2.

3. How can I use the GCD of 972, 900, 426, 826Calculator?

Out the numbers 972, 900, 426, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.