LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 942, 874, 532, 172 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, 874, 532, 172 quickly. Get the easiest ways to solve the greatest common divisor of 942, 874, 532, 172 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 942, 874, 532, 172 with Factoring?

Given Input numbers are 942, 874, 532, 172

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 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172


GCD of numbers is the greatest common divisor

So, the GCD (942, 874, 532, 172) = 2.

Find GCD of 942, 874, 532, 172 using Prime Factorization

Given numbers are 942, 874, 532, 172

The list of prime factors of all numbers are

Prime factors of 942 are 2 x 3 x 157

Prime factors of 874 are 2 x 19 x 23

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 21

Therefore, GCD of 942, 874, 532, 172 is 2.

Steps to Calculate GCD of 942, 874, 532, 172 using LCM Formula

Given numbers are 942, 874, 532, 172

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

Apply this formula for all numbers.

Step1:

LCM(942, 874) = 411654

GCD(942, 874) = ( 942 x 874 ) / 411654

= 942 / 874

= 942


Step2:

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

= 2 / 532

= 2


Step3:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2


So, Greatest Common Divisor of 942, 874, 532, 172 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 942, 874, 532, 172

Given numbers are 942, 874, 532, 172
The greatest common divisor of numbers 942, 874, 532, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 874, 532, 172 is 2.

FAQs on GCD of 942, 874, 532, 172 Calculator

1. What is the GCD of 942, 874, 532, 172?

GCD of given numbers 942, 874, 532, 172 is 2


2. How to calculate the greatest common divisor of 942, 874, 532, 172?

We can find the highest common divisor of 942, 874, 532, 172 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, 874, 532, 172 i.e 2.


3. How can I use the GCD of 942, 874, 532, 172Calculator?

Out the numbers 942, 874, 532, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.