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GCD of 792, 672, 402, 972 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 792, 672, 402, 972 quickly. Get the easiest ways to solve the greatest common divisor of 792, 672, 402, 972 i.e 6 in different methods as follows.

GCD of

How to Find GCD of Numbers 792, 672, 402, 972 with Factoring?

Given Input numbers are 792, 672, 402, 972

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

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

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


GCD of numbers is the greatest common divisor

So, the GCD (792, 672, 402, 972) = 6.

Find GCD of 792, 672, 402, 972 using Prime Factorization

Given numbers are 792, 672, 402, 972

The list of prime factors of all numbers are

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 402 are 2 x 3 x 67

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

The highest common occurrence is 21 x 31

Therefore, GCD of 792, 672, 402, 972 is 6.

Steps to Calculate GCD of 792, 672, 402, 972 using LCM Formula

Given numbers are 792, 672, 402, 972

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

Apply this formula for all numbers.

Step1:

LCM(792, 672) = 22176

GCD(792, 672) = ( 792 x 672 ) / 22176

= 792 / 672

= 792


Step2:

LCM(24, 402) = 1608

GCD(24, 402) = ( 24 x 402 ) / 1608

= 24 / 402

= 24


Step3:

LCM(6, 972) = 972

GCD(6, 972) = ( 6 x 972 ) / 972

= 6 / 972

= 6


So, Greatest Common Divisor of 792, 672, 402, 972 is 6

GCD of Numbers Calculation Examples

Greatest Common Divisor of 792, 672, 402, 972

Given numbers are 792, 672, 402, 972
The greatest common divisor of numbers 792, 672, 402, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 672, 402, 972 is 6.

FAQs on GCD of 792, 672, 402, 972 Calculator

1. What is the GCD of 792, 672, 402, 972?

GCD of given numbers 792, 672, 402, 972 is 6


2. How to calculate the greatest common divisor of 792, 672, 402, 972?

We can find the highest common divisor of 792, 672, 402, 972 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 792, 672, 402, 972 i.e 6.


3. How can I use the GCD of 792, 672, 402, 972Calculator?

Out the numbers 792, 672, 402, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.