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GCD of 359, 114, 628, 147 Calculator

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


Online GCD Calculator is useful to find the GCD of 359, 114, 628, 147 quickly. Get the easiest ways to solve the greatest common divisor of 359, 114, 628, 147 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 359, 114, 628, 147 with Factoring?

Given Input numbers are 359, 114, 628, 147

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

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147


GCD of numbers is the greatest common divisor

So, the GCD (359, 114, 628, 147) = 1.

Find GCD of 359, 114, 628, 147 using Prime Factorization

Given numbers are 359, 114, 628, 147

The list of prime factors of all numbers are

Prime factors of 359 are 359

Prime factors of 114 are 2 x 3 x 19

Prime factors of 628 are 2 x 2 x 157

Prime factors of 147 are 3 x 7 x 7

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

Steps to Calculate GCD of 359, 114, 628, 147 using LCM Formula

Given numbers are 359, 114, 628, 147

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

Apply this formula for all numbers.

Step1:

LCM(359, 114) = 40926

GCD(359, 114) = ( 359 x 114 ) / 40926

= 359 / 114

= 359


Step2:

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

= 1 / 628

= 1


Step3:

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

= 1 / 147

= 1


So, Greatest Common Divisor of 359, 114, 628, 147 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 359, 114, 628, 147

Given numbers are 359, 114, 628, 147
The greatest common divisor of numbers 359, 114, 628, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 359, 114, 628, 147 is 1.

FAQs on GCD of 359, 114, 628, 147 Calculator

1. What is the GCD of 359, 114, 628, 147?

GCD of given numbers 359, 114, 628, 147 is 1


2. How to calculate the greatest common divisor of 359, 114, 628, 147?

We can find the highest common divisor of 359, 114, 628, 147 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 359, 114, 628, 147 i.e 1.


3. How can I use the GCD of 359, 114, 628, 147Calculator?

Out the numbers 359, 114, 628, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.