GCD of 972, 126, 610, 728 Calculator

Given Input numbers are 972, 126, 610, 728

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 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 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (972, 126, 610, 728) = 2.

Given numbers are 972, 126, 610, 728

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 126 are 2 x 3 x 3 x 7

Prime factors of 610 are 2 x 5 x 61

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 972, 126, 610, 728 is 2.

Given numbers are 972, 126, 610, 728

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

Apply this formula for all numbers.

Step1:

LCM(972, 126) = 6804

GCD(972, 126) = ( 972 x 126 ) / 6804

= 972 / 126

= 972

Step2:

LCM(18, 610) = 5490

GCD(18, 610) = ( 18 x 610 ) / 5490

= 18 / 610

= 18

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 972, 126, 610, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 213, 856, 367
• GCD of 545, 811, 746, 826
• GCD of 421, 684, 446, 176
• GCD of 817, 609, 434, 726
• GCD of 179, 513, 617, 858

Given numbers are 972, 126, 610, 728
The greatest common divisor of numbers 972, 126, 610, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 126, 610, 728 is 2.

1. What is the GCD of 972, 126, 610, 728?

GCD of given numbers 972, 126, 610, 728 is 2

2. How to calculate the greatest common divisor of 972, 126, 610, 728?

We can find the highest common divisor of 972, 126, 610, 728 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, 126, 610, 728 i.e 2.

3. How can I use the GCD of 972, 126, 610, 728Calculator?

Out the numbers 972, 126, 610, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.