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GCD of 142, 184, 742 Calculator

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


Online GCD Calculator is useful to find the GCD of 142, 184, 742 quickly. Get the easiest ways to solve the greatest common divisor of 142, 184, 742 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 142, 184, 742 with Factoring?

Given Input numbers are 142, 184, 742

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

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742


GCD of numbers is the greatest common divisor

So, the GCD (142, 184, 742) = 2.

Find GCD of 142, 184, 742 using Prime Factorization

Given numbers are 142, 184, 742

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 184 are 2 x 2 x 2 x 23

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 21

Therefore, GCD of 142, 184, 742 is 2.

Steps to Calculate GCD of 142, 184, 742 using LCM Formula

Given numbers are 142, 184, 742

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

Apply this formula for all numbers.

Step1:

LCM(142, 184) = 13064

GCD(142, 184) = ( 142 x 184 ) / 13064

= 142 / 184

= 142


Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2


So, Greatest Common Divisor of 142, 184, 742 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 142, 184, 742

Given numbers are 142, 184, 742
The greatest common divisor of numbers 142, 184, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 184, 742 is 2.

FAQs on GCD of 142, 184, 742 Calculator

1. What is the GCD of 142, 184, 742?

GCD of given numbers 142, 184, 742 is 2


2. How to calculate the greatest common divisor of 142, 184, 742?

We can find the highest common divisor of 142, 184, 742 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 142, 184, 742 i.e 2.


3. How can I use the GCD of 142, 184, 742Calculator?

Out the numbers 142, 184, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.