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GCD of 358, 974, 982 Calculator

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


Online GCD Calculator is useful to find the GCD of 358, 974, 982 quickly. Get the easiest ways to solve the greatest common divisor of 358, 974, 982 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 358, 974, 982 with Factoring?

Given Input numbers are 358, 974, 982

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

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982


GCD of numbers is the greatest common divisor

So, the GCD (358, 974, 982) = 2.

Find GCD of 358, 974, 982 using Prime Factorization

Given numbers are 358, 974, 982

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

Prime factors of 974 are 2 x 487

Prime factors of 982 are 2 x 491

The highest common occurrence is 21

Therefore, GCD of 358, 974, 982 is 2.

Steps to Calculate GCD of 358, 974, 982 using LCM Formula

Given numbers are 358, 974, 982

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

Apply this formula for all numbers.

Step1:

LCM(358, 974) = 174346

GCD(358, 974) = ( 358 x 974 ) / 174346

= 358 / 974

= 358


Step2:

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

= 2 / 982

= 2


So, Greatest Common Divisor of 358, 974, 982 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 358, 974, 982

Given numbers are 358, 974, 982
The greatest common divisor of numbers 358, 974, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 974, 982 is 2.

FAQs on GCD of 358, 974, 982 Calculator

1. What is the GCD of 358, 974, 982?

GCD of given numbers 358, 974, 982 is 2


2. How to calculate the greatest common divisor of 358, 974, 982?

We can find the highest common divisor of 358, 974, 982 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 358, 974, 982 i.e 2.


3. How can I use the GCD of 358, 974, 982Calculator?

Out the numbers 358, 974, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.