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GCD of 252, 396, 60, 616 Calculator

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


Online GCD Calculator is useful to find the GCD of 252, 396, 60, 616 quickly. Get the easiest ways to solve the greatest common divisor of 252, 396, 60, 616 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 252, 396, 60, 616 with Factoring?

Given Input numbers are 252, 396, 60, 616

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616


GCD of numbers is the greatest common divisor

So, the GCD (252, 396, 60, 616) = 4.

Find GCD of 252, 396, 60, 616 using Prime Factorization

Given numbers are 252, 396, 60, 616

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

The highest common occurrence is 22

Therefore, GCD of 252, 396, 60, 616 is 4.

Steps to Calculate GCD of 252, 396, 60, 616 using LCM Formula

Given numbers are 252, 396, 60, 616

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

Apply this formula for all numbers.

Step1:

LCM(252, 396) = 2772

GCD(252, 396) = ( 252 x 396 ) / 2772

= 252 / 396

= 252


Step2:

LCM(36, 60) = 180

GCD(36, 60) = ( 36 x 60 ) / 180

= 36 / 60

= 36


Step3:

LCM(12, 616) = 1848

GCD(12, 616) = ( 12 x 616 ) / 1848

= 12 / 616

= 12


So, Greatest Common Divisor of 252, 396, 60, 616 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 252, 396, 60, 616

Given numbers are 252, 396, 60, 616
The greatest common divisor of numbers 252, 396, 60, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 396, 60, 616 is 4.

FAQs on GCD of 252, 396, 60, 616 Calculator

1. What is the GCD of 252, 396, 60, 616?

GCD of given numbers 252, 396, 60, 616 is 4


2. How to calculate the greatest common divisor of 252, 396, 60, 616?

We can find the highest common divisor of 252, 396, 60, 616 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 252, 396, 60, 616 i.e 4.


3. How can I use the GCD of 252, 396, 60, 616Calculator?

Out the numbers 252, 396, 60, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.