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GCD of 959, 742, 58 Calculator

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


Online GCD Calculator is useful to find the GCD of 959, 742, 58 quickly. Get the easiest ways to solve the greatest common divisor of 959, 742, 58 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 959, 742, 58 with Factoring?

Given Input numbers are 959, 742, 58

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

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 58 :

The positive integer divisors of 58 that completely divides 58 are.

1, 2, 29, 58


GCD of numbers is the greatest common divisor

So, the GCD (959, 742, 58) = 1.

Find GCD of 959, 742, 58 using Prime Factorization

Given numbers are 959, 742, 58

The list of prime factors of all numbers are

Prime factors of 959 are 7 x 137

Prime factors of 742 are 2 x 7 x 53

Prime factors of 58 are 2 x 29

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

Steps to Calculate GCD of 959, 742, 58 using LCM Formula

Given numbers are 959, 742, 58

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

Apply this formula for all numbers.

Step1:

LCM(959, 742) = 101654

GCD(959, 742) = ( 959 x 742 ) / 101654

= 959 / 742

= 959


Step2:

LCM(7, 58) = 406

GCD(7, 58) = ( 7 x 58 ) / 406

= 7 / 58

= 7


So, Greatest Common Divisor of 959, 742, 58 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 959, 742, 58

Given numbers are 959, 742, 58
The greatest common divisor of numbers 959, 742, 58 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 959, 742, 58 is 1.

FAQs on GCD of 959, 742, 58 Calculator

1. What is the GCD of 959, 742, 58?

GCD of given numbers 959, 742, 58 is 1


2. How to calculate the greatest common divisor of 959, 742, 58?

We can find the highest common divisor of 959, 742, 58 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 959, 742, 58 i.e 1.


3. How can I use the GCD of 959, 742, 58Calculator?

Out the numbers 959, 742, 58 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.