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GCD of 665, 574, 420, 118 Calculator

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


Online GCD Calculator is useful to find the GCD of 665, 574, 420, 118 quickly. Get the easiest ways to solve the greatest common divisor of 665, 574, 420, 118 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 665, 574, 420, 118 with Factoring?

Given Input numbers are 665, 574, 420, 118

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

Divisors of 665 :

The positive integer divisors of 665 that completely divides 665 are.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118


GCD of numbers is the greatest common divisor

So, the GCD (665, 574, 420, 118) = 1.

Find GCD of 665, 574, 420, 118 using Prime Factorization

Given numbers are 665, 574, 420, 118

The list of prime factors of all numbers are

Prime factors of 665 are 5 x 7 x 19

Prime factors of 574 are 2 x 7 x 41

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 118 are 2 x 59

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

Steps to Calculate GCD of 665, 574, 420, 118 using LCM Formula

Given numbers are 665, 574, 420, 118

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

Apply this formula for all numbers.

Step1:

LCM(665, 574) = 54530

GCD(665, 574) = ( 665 x 574 ) / 54530

= 665 / 574

= 665


Step2:

LCM(7, 420) = 420

GCD(7, 420) = ( 7 x 420 ) / 420

= 7 / 420

= 7


Step3:

LCM(7, 118) = 826

GCD(7, 118) = ( 7 x 118 ) / 826

= 7 / 118

= 7


So, Greatest Common Divisor of 665, 574, 420, 118 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 665, 574, 420, 118

Given numbers are 665, 574, 420, 118
The greatest common divisor of numbers 665, 574, 420, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 665, 574, 420, 118 is 1.

FAQs on GCD of 665, 574, 420, 118 Calculator

1. What is the GCD of 665, 574, 420, 118?

GCD of given numbers 665, 574, 420, 118 is 1


2. How to calculate the greatest common divisor of 665, 574, 420, 118?

We can find the highest common divisor of 665, 574, 420, 118 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 665, 574, 420, 118 i.e 1.


3. How can I use the GCD of 665, 574, 420, 118Calculator?

Out the numbers 665, 574, 420, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.