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GCD of 212, 272, 149, 696 Calculator

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


Online GCD Calculator is useful to find the GCD of 212, 272, 149, 696 quickly. Get the easiest ways to solve the greatest common divisor of 212, 272, 149, 696 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 212, 272, 149, 696 with Factoring?

Given Input numbers are 212, 272, 149, 696

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

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696


GCD of numbers is the greatest common divisor

So, the GCD (212, 272, 149, 696) = 1.

Find GCD of 212, 272, 149, 696 using Prime Factorization

Given numbers are 212, 272, 149, 696

The list of prime factors of all numbers are

Prime factors of 212 are 2 x 2 x 53

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 149 are 149

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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

Steps to Calculate GCD of 212, 272, 149, 696 using LCM Formula

Given numbers are 212, 272, 149, 696

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

Apply this formula for all numbers.

Step1:

LCM(212, 272) = 14416

GCD(212, 272) = ( 212 x 272 ) / 14416

= 212 / 272

= 212


Step2:

LCM(4, 149) = 596

GCD(4, 149) = ( 4 x 149 ) / 596

= 4 / 149

= 4


Step3:

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

= 1 / 696

= 1


So, Greatest Common Divisor of 212, 272, 149, 696 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 212, 272, 149, 696

Given numbers are 212, 272, 149, 696
The greatest common divisor of numbers 212, 272, 149, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 272, 149, 696 is 1.

FAQs on GCD of 212, 272, 149, 696 Calculator

1. What is the GCD of 212, 272, 149, 696?

GCD of given numbers 212, 272, 149, 696 is 1


2. How to calculate the greatest common divisor of 212, 272, 149, 696?

We can find the highest common divisor of 212, 272, 149, 696 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 212, 272, 149, 696 i.e 1.


3. How can I use the GCD of 212, 272, 149, 696Calculator?

Out the numbers 212, 272, 149, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.