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GCD of 370, 658, 172, 919 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, 658, 172, 919 quickly. Get the easiest ways to solve the greatest common divisor of 370, 658, 172, 919 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 370, 658, 172, 919 with Factoring?

Given Input numbers are 370, 658, 172, 919

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 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 919 :

The positive integer divisors of 919 that completely divides 919 are.

1, 919


GCD of numbers is the greatest common divisor

So, the GCD (370, 658, 172, 919) = 1.

Find GCD of 370, 658, 172, 919 using Prime Factorization

Given numbers are 370, 658, 172, 919

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 658 are 2 x 7 x 47

Prime factors of 172 are 2 x 2 x 43

Prime factors of 919 are 919

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 370, 658, 172, 919 using LCM Formula

Given numbers are 370, 658, 172, 919

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

Apply this formula for all numbers.

Step1:

LCM(370, 658) = 121730

GCD(370, 658) = ( 370 x 658 ) / 121730

= 370 / 658

= 370


Step2:

LCM(2, 172) = 172

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

= 2 / 172

= 2


Step3:

LCM(2, 919) = 1838

GCD(2, 919) = ( 2 x 919 ) / 1838

= 2 / 919

= 2


So, Greatest Common Divisor of 370, 658, 172, 919 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 370, 658, 172, 919

Given numbers are 370, 658, 172, 919
The greatest common divisor of numbers 370, 658, 172, 919 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 658, 172, 919 is 1.

FAQs on GCD of 370, 658, 172, 919 Calculator

1. What is the GCD of 370, 658, 172, 919?

GCD of given numbers 370, 658, 172, 919 is 1


2. How to calculate the greatest common divisor of 370, 658, 172, 919?

We can find the highest common divisor of 370, 658, 172, 919 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, 658, 172, 919 i.e 1.


3. How can I use the GCD of 370, 658, 172, 919Calculator?

Out the numbers 370, 658, 172, 919 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.