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GCD of 657, 792, 629, 400 Calculator

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


Online GCD Calculator is useful to find the GCD of 657, 792, 629, 400 quickly. Get the easiest ways to solve the greatest common divisor of 657, 792, 629, 400 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 657, 792, 629, 400 with Factoring?

Given Input numbers are 657, 792, 629, 400

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

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

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 629 :

The positive integer divisors of 629 that completely divides 629 are.

1, 17, 37, 629

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400


GCD of numbers is the greatest common divisor

So, the GCD (657, 792, 629, 400) = 1.

Find GCD of 657, 792, 629, 400 using Prime Factorization

Given numbers are 657, 792, 629, 400

The list of prime factors of all numbers are

Prime factors of 657 are 3 x 3 x 73

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

Prime factors of 629 are 17 x 37

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 657, 792, 629, 400 using LCM Formula

Given numbers are 657, 792, 629, 400

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

Apply this formula for all numbers.

Step1:

LCM(657, 792) = 57816

GCD(657, 792) = ( 657 x 792 ) / 57816

= 657 / 792

= 657


Step2:

LCM(9, 629) = 5661

GCD(9, 629) = ( 9 x 629 ) / 5661

= 9 / 629

= 9


Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1


So, Greatest Common Divisor of 657, 792, 629, 400 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 657, 792, 629, 400

Given numbers are 657, 792, 629, 400
The greatest common divisor of numbers 657, 792, 629, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 657, 792, 629, 400 is 1.

FAQs on GCD of 657, 792, 629, 400 Calculator

1. What is the GCD of 657, 792, 629, 400?

GCD of given numbers 657, 792, 629, 400 is 1


2. How to calculate the greatest common divisor of 657, 792, 629, 400?

We can find the highest common divisor of 657, 792, 629, 400 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 657, 792, 629, 400 i.e 1.


3. How can I use the GCD of 657, 792, 629, 400Calculator?

Out the numbers 657, 792, 629, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.