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GCD of 958, 558, 142, 174 Calculator

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


Online GCD Calculator is useful to find the GCD of 958, 558, 142, 174 quickly. Get the easiest ways to solve the greatest common divisor of 958, 558, 142, 174 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 958, 558, 142, 174 with Factoring?

Given Input numbers are 958, 558, 142, 174

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

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174


GCD of numbers is the greatest common divisor

So, the GCD (958, 558, 142, 174) = 2.

Find GCD of 958, 558, 142, 174 using Prime Factorization

Given numbers are 958, 558, 142, 174

The list of prime factors of all numbers are

Prime factors of 958 are 2 x 479

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 142 are 2 x 71

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 21

Therefore, GCD of 958, 558, 142, 174 is 2.

Steps to Calculate GCD of 958, 558, 142, 174 using LCM Formula

Given numbers are 958, 558, 142, 174

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

Apply this formula for all numbers.

Step1:

LCM(958, 558) = 267282

GCD(958, 558) = ( 958 x 558 ) / 267282

= 958 / 558

= 958


Step2:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2


Step3:

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

= 2 / 174

= 2


So, Greatest Common Divisor of 958, 558, 142, 174 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 958, 558, 142, 174

Given numbers are 958, 558, 142, 174
The greatest common divisor of numbers 958, 558, 142, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 958, 558, 142, 174 is 2.

FAQs on GCD of 958, 558, 142, 174 Calculator

1. What is the GCD of 958, 558, 142, 174?

GCD of given numbers 958, 558, 142, 174 is 2


2. How to calculate the greatest common divisor of 958, 558, 142, 174?

We can find the highest common divisor of 958, 558, 142, 174 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 958, 558, 142, 174 i.e 2.


3. How can I use the GCD of 958, 558, 142, 174Calculator?

Out the numbers 958, 558, 142, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.