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GCD of 652, 336, 724, 540 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, 336, 724, 540 quickly. Get the easiest ways to solve the greatest common divisor of 652, 336, 724, 540 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 652, 336, 724, 540 with Factoring?

Given Input numbers are 652, 336, 724, 540

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 336 :

The positive integer divisors of 336 that completely divides 336 are.

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540


GCD of numbers is the greatest common divisor

So, the GCD (652, 336, 724, 540) = 4.

Find GCD of 652, 336, 724, 540 using Prime Factorization

Given numbers are 652, 336, 724, 540

The list of prime factors of all numbers are

Prime factors of 652 are 2 x 2 x 163

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 724 are 2 x 2 x 181

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

The highest common occurrence is 22

Therefore, GCD of 652, 336, 724, 540 is 4.

Steps to Calculate GCD of 652, 336, 724, 540 using LCM Formula

Given numbers are 652, 336, 724, 540

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

Apply this formula for all numbers.

Step1:

LCM(652, 336) = 54768

GCD(652, 336) = ( 652 x 336 ) / 54768

= 652 / 336

= 652


Step2:

LCM(4, 724) = 724

GCD(4, 724) = ( 4 x 724 ) / 724

= 4 / 724

= 4


Step3:

LCM(4, 540) = 540

GCD(4, 540) = ( 4 x 540 ) / 540

= 4 / 540

= 4


So, Greatest Common Divisor of 652, 336, 724, 540 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 652, 336, 724, 540

Given numbers are 652, 336, 724, 540
The greatest common divisor of numbers 652, 336, 724, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 652, 336, 724, 540 is 4.

FAQs on GCD of 652, 336, 724, 540 Calculator

1. What is the GCD of 652, 336, 724, 540?

GCD of given numbers 652, 336, 724, 540 is 4


2. How to calculate the greatest common divisor of 652, 336, 724, 540?

We can find the highest common divisor of 652, 336, 724, 540 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, 336, 724, 540 i.e 4.


3. How can I use the GCD of 652, 336, 724, 540Calculator?

Out the numbers 652, 336, 724, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.