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GCD of 279, 199, 42, 252 Calculator

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


Online GCD Calculator is useful to find the GCD of 279, 199, 42, 252 quickly. Get the easiest ways to solve the greatest common divisor of 279, 199, 42, 252 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 279, 199, 42, 252 with Factoring?

Given Input numbers are 279, 199, 42, 252

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

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

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


GCD of numbers is the greatest common divisor

So, the GCD (279, 199, 42, 252) = 1.

Find GCD of 279, 199, 42, 252 using Prime Factorization

Given numbers are 279, 199, 42, 252

The list of prime factors of all numbers are

Prime factors of 279 are 3 x 3 x 31

Prime factors of 199 are 199

Prime factors of 42 are 2 x 3 x 7

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

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

Steps to Calculate GCD of 279, 199, 42, 252 using LCM Formula

Given numbers are 279, 199, 42, 252

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

Apply this formula for all numbers.

Step1:

LCM(279, 199) = 55521

GCD(279, 199) = ( 279 x 199 ) / 55521

= 279 / 199

= 279


Step2:

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

= 1 / 42

= 1


Step3:

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

= 1 / 252

= 1


So, Greatest Common Divisor of 279, 199, 42, 252 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 279, 199, 42, 252

Given numbers are 279, 199, 42, 252
The greatest common divisor of numbers 279, 199, 42, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 199, 42, 252 is 1.

FAQs on GCD of 279, 199, 42, 252 Calculator

1. What is the GCD of 279, 199, 42, 252?

GCD of given numbers 279, 199, 42, 252 is 1


2. How to calculate the greatest common divisor of 279, 199, 42, 252?

We can find the highest common divisor of 279, 199, 42, 252 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 279, 199, 42, 252 i.e 1.


3. How can I use the GCD of 279, 199, 42, 252Calculator?

Out the numbers 279, 199, 42, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.