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GCD of 370, 124, 758, 312 Calculator

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


Online GCD Calculator is useful to find the GCD of 370, 124, 758, 312 quickly. Get the easiest ways to solve the greatest common divisor of 370, 124, 758, 312 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 370, 124, 758, 312 with Factoring?

Given Input numbers are 370, 124, 758, 312

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312


GCD of numbers is the greatest common divisor

So, the GCD (370, 124, 758, 312) = 2.

Find GCD of 370, 124, 758, 312 using Prime Factorization

Given numbers are 370, 124, 758, 312

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 124 are 2 x 2 x 31

Prime factors of 758 are 2 x 379

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 21

Therefore, GCD of 370, 124, 758, 312 is 2.

Steps to Calculate GCD of 370, 124, 758, 312 using LCM Formula

Given numbers are 370, 124, 758, 312

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

Apply this formula for all numbers.

Step1:

LCM(370, 124) = 22940

GCD(370, 124) = ( 370 x 124 ) / 22940

= 370 / 124

= 370


Step2:

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

= 2 / 758

= 2


Step3:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2


So, Greatest Common Divisor of 370, 124, 758, 312 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 370, 124, 758, 312

Given numbers are 370, 124, 758, 312
The greatest common divisor of numbers 370, 124, 758, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 124, 758, 312 is 2.

FAQs on GCD of 370, 124, 758, 312 Calculator

1. What is the GCD of 370, 124, 758, 312?

GCD of given numbers 370, 124, 758, 312 is 2


2. How to calculate the greatest common divisor of 370, 124, 758, 312?

We can find the highest common divisor of 370, 124, 758, 312 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 370, 124, 758, 312 i.e 2.


3. How can I use the GCD of 370, 124, 758, 312Calculator?

Out the numbers 370, 124, 758, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.