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GCD of 652, 626, 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 652, 626, 400 quickly. Get the easiest ways to solve the greatest common divisor of 652, 626, 400 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 652, 626, 400 with Factoring?

Given Input numbers are 652, 626, 400

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

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

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 (652, 626, 400) = 2.

Find GCD of 652, 626, 400 using Prime Factorization

Given numbers are 652, 626, 400

The list of prime factors of all numbers are

Prime factors of 652 are 2 x 2 x 163

Prime factors of 626 are 2 x 313

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

The highest common occurrence is 21

Therefore, GCD of 652, 626, 400 is 2.

Steps to Calculate GCD of 652, 626, 400 using LCM Formula

Given numbers are 652, 626, 400

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

Apply this formula for all numbers.

Step1:

LCM(652, 626) = 204076

GCD(652, 626) = ( 652 x 626 ) / 204076

= 652 / 626

= 652


Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2


So, Greatest Common Divisor of 652, 626, 400 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 652, 626, 400

Given numbers are 652, 626, 400
The greatest common divisor of numbers 652, 626, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 652, 626, 400 is 2.

FAQs on GCD of 652, 626, 400 Calculator

1. What is the GCD of 652, 626, 400?

GCD of given numbers 652, 626, 400 is 2


2. How to calculate the greatest common divisor of 652, 626, 400?

We can find the highest common divisor of 652, 626, 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 652, 626, 400 i.e 2.


3. How can I use the GCD of 652, 626, 400Calculator?

Out the numbers 652, 626, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.