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GCD of 612, 876, 142, 376 Calculator

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


Online GCD Calculator is useful to find the GCD of 612, 876, 142, 376 quickly. Get the easiest ways to solve the greatest common divisor of 612, 876, 142, 376 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 612, 876, 142, 376 with Factoring?

Given Input numbers are 612, 876, 142, 376

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 142 :

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

1, 2, 71, 142

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376


GCD of numbers is the greatest common divisor

So, the GCD (612, 876, 142, 376) = 2.

Find GCD of 612, 876, 142, 376 using Prime Factorization

Given numbers are 612, 876, 142, 376

The list of prime factors of all numbers are

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 142 are 2 x 71

Prime factors of 376 are 2 x 2 x 2 x 47

The highest common occurrence is 21

Therefore, GCD of 612, 876, 142, 376 is 2.

Steps to Calculate GCD of 612, 876, 142, 376 using LCM Formula

Given numbers are 612, 876, 142, 376

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

Apply this formula for all numbers.

Step1:

LCM(612, 876) = 44676

GCD(612, 876) = ( 612 x 876 ) / 44676

= 612 / 876

= 612


Step2:

LCM(12, 142) = 852

GCD(12, 142) = ( 12 x 142 ) / 852

= 12 / 142

= 12


Step3:

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

= 2 / 376

= 2


So, Greatest Common Divisor of 612, 876, 142, 376 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 612, 876, 142, 376

Given numbers are 612, 876, 142, 376
The greatest common divisor of numbers 612, 876, 142, 376 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 876, 142, 376 is 2.

FAQs on GCD of 612, 876, 142, 376 Calculator

1. What is the GCD of 612, 876, 142, 376?

GCD of given numbers 612, 876, 142, 376 is 2


2. How to calculate the greatest common divisor of 612, 876, 142, 376?

We can find the highest common divisor of 612, 876, 142, 376 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 612, 876, 142, 376 i.e 2.


3. How can I use the GCD of 612, 876, 142, 376Calculator?

Out the numbers 612, 876, 142, 376 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.