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GCD of 970, 582, 938, 958 Calculator

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


Online GCD Calculator is useful to find the GCD of 970, 582, 938, 958 quickly. Get the easiest ways to solve the greatest common divisor of 970, 582, 938, 958 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 970, 582, 938, 958 with Factoring?

Given Input numbers are 970, 582, 938, 958

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

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 958 :

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

1, 2, 479, 958


GCD of numbers is the greatest common divisor

So, the GCD (970, 582, 938, 958) = 2.

Find GCD of 970, 582, 938, 958 using Prime Factorization

Given numbers are 970, 582, 938, 958

The list of prime factors of all numbers are

Prime factors of 970 are 2 x 5 x 97

Prime factors of 582 are 2 x 3 x 97

Prime factors of 938 are 2 x 7 x 67

Prime factors of 958 are 2 x 479

The highest common occurrence is 21

Therefore, GCD of 970, 582, 938, 958 is 2.

Steps to Calculate GCD of 970, 582, 938, 958 using LCM Formula

Given numbers are 970, 582, 938, 958

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

Apply this formula for all numbers.

Step1:

LCM(970, 582) = 2910

GCD(970, 582) = ( 970 x 582 ) / 2910

= 970 / 582

= 970


Step2:

LCM(194, 938) = 90986

GCD(194, 938) = ( 194 x 938 ) / 90986

= 194 / 938

= 194


Step3:

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

= 2 / 958

= 2


So, Greatest Common Divisor of 970, 582, 938, 958 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 970, 582, 938, 958

Given numbers are 970, 582, 938, 958
The greatest common divisor of numbers 970, 582, 938, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 970, 582, 938, 958 is 2.

FAQs on GCD of 970, 582, 938, 958 Calculator

1. What is the GCD of 970, 582, 938, 958?

GCD of given numbers 970, 582, 938, 958 is 2


2. How to calculate the greatest common divisor of 970, 582, 938, 958?

We can find the highest common divisor of 970, 582, 938, 958 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 970, 582, 938, 958 i.e 2.


3. How can I use the GCD of 970, 582, 938, 958Calculator?

Out the numbers 970, 582, 938, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.