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GCD of 942, 138, 801, 339 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, 138, 801, 339 quickly. Get the easiest ways to solve the greatest common divisor of 942, 138, 801, 339 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 942, 138, 801, 339 with Factoring?

Given Input numbers are 942, 138, 801, 339

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339


GCD of numbers is the greatest common divisor

So, the GCD (942, 138, 801, 339) = 3.

Find GCD of 942, 138, 801, 339 using Prime Factorization

Given numbers are 942, 138, 801, 339

The list of prime factors of all numbers are

Prime factors of 942 are 2 x 3 x 157

Prime factors of 138 are 2 x 3 x 23

Prime factors of 801 are 3 x 3 x 89

Prime factors of 339 are 3 x 113

The highest common occurrence is 31

Therefore, GCD of 942, 138, 801, 339 is 3.

Steps to Calculate GCD of 942, 138, 801, 339 using LCM Formula

Given numbers are 942, 138, 801, 339

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

Apply this formula for all numbers.

Step1:

LCM(942, 138) = 21666

GCD(942, 138) = ( 942 x 138 ) / 21666

= 942 / 138

= 942


Step2:

LCM(6, 801) = 1602

GCD(6, 801) = ( 6 x 801 ) / 1602

= 6 / 801

= 6


Step3:

LCM(3, 339) = 339

GCD(3, 339) = ( 3 x 339 ) / 339

= 3 / 339

= 3


So, Greatest Common Divisor of 942, 138, 801, 339 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 942, 138, 801, 339

Given numbers are 942, 138, 801, 339
The greatest common divisor of numbers 942, 138, 801, 339 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 138, 801, 339 is 3.

FAQs on GCD of 942, 138, 801, 339 Calculator

1. What is the GCD of 942, 138, 801, 339?

GCD of given numbers 942, 138, 801, 339 is 3


2. How to calculate the greatest common divisor of 942, 138, 801, 339?

We can find the highest common divisor of 942, 138, 801, 339 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, 138, 801, 339 i.e 3.


3. How can I use the GCD of 942, 138, 801, 339Calculator?

Out the numbers 942, 138, 801, 339 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.