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GCD of 942, 564, 429, 279 Calculator

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


Online GCD Calculator is useful to find the GCD of 942, 564, 429, 279 quickly. Get the easiest ways to solve the greatest common divisor of 942, 564, 429, 279 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 942, 564, 429, 279 with Factoring?

Given Input numbers are 942, 564, 429, 279

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

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 279 :

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

1, 3, 9, 31, 93, 279


GCD of numbers is the greatest common divisor

So, the GCD (942, 564, 429, 279) = 3.

Find GCD of 942, 564, 429, 279 using Prime Factorization

Given numbers are 942, 564, 429, 279

The list of prime factors of all numbers are

Prime factors of 942 are 2 x 3 x 157

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 429 are 3 x 11 x 13

Prime factors of 279 are 3 x 3 x 31

The highest common occurrence is 31

Therefore, GCD of 942, 564, 429, 279 is 3.

Steps to Calculate GCD of 942, 564, 429, 279 using LCM Formula

Given numbers are 942, 564, 429, 279

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

Apply this formula for all numbers.

Step1:

LCM(942, 564) = 88548

GCD(942, 564) = ( 942 x 564 ) / 88548

= 942 / 564

= 942


Step2:

LCM(6, 429) = 858

GCD(6, 429) = ( 6 x 429 ) / 858

= 6 / 429

= 6


Step3:

LCM(3, 279) = 279

GCD(3, 279) = ( 3 x 279 ) / 279

= 3 / 279

= 3


So, Greatest Common Divisor of 942, 564, 429, 279 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 942, 564, 429, 279

Given numbers are 942, 564, 429, 279
The greatest common divisor of numbers 942, 564, 429, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 564, 429, 279 is 3.

FAQs on GCD of 942, 564, 429, 279 Calculator

1. What is the GCD of 942, 564, 429, 279?

GCD of given numbers 942, 564, 429, 279 is 3


2. How to calculate the greatest common divisor of 942, 564, 429, 279?

We can find the highest common divisor of 942, 564, 429, 279 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 942, 564, 429, 279 i.e 3.


3. How can I use the GCD of 942, 564, 429, 279Calculator?

Out the numbers 942, 564, 429, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.