GCD of 972, 496, 832, 926 Calculator

Given Input numbers are 972, 496, 832, 926

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 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 926 :

The positive integer divisors of 926 that completely divides 926 are.

1, 2, 463, 926

GCD of numbers is the greatest common divisor

So, the GCD (972, 496, 832, 926) = 2.

Given numbers are 972, 496, 832, 926

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 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 926 are 2 x 463

The highest common occurrence is 2¹

Therefore, GCD of 972, 496, 832, 926 is 2.

Given numbers are 972, 496, 832, 926

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

Apply this formula for all numbers.

Step1:

LCM(972, 496) = 120528

GCD(972, 496) = ( 972 x 496 ) / 120528

= 972 / 496

= 972

Step2:

LCM(4, 832) = 832

GCD(4, 832) = ( 4 x 832 ) / 832

= 4 / 832

= 4

Step3:

LCM(4, 926) = 1852

GCD(4, 926) = ( 4 x 926 ) / 1852

= 4 / 926

= 4

So, Greatest Common Divisor of 972, 496, 832, 926 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 775, 551, 290
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Given numbers are 972, 496, 832, 926
The greatest common divisor of numbers 972, 496, 832, 926 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 496, 832, 926 is 2.

1. What is the GCD of 972, 496, 832, 926?

GCD of given numbers 972, 496, 832, 926 is 2

2. How to calculate the greatest common divisor of 972, 496, 832, 926?

We can find the highest common divisor of 972, 496, 832, 926 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, 496, 832, 926 i.e 2.

3. How can I use the GCD of 972, 496, 832, 926Calculator?

Out the numbers 972, 496, 832, 926 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.