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GCD of 958, 638, 616, 960 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, 638, 616, 960 quickly. Get the easiest ways to solve the greatest common divisor of 958, 638, 616, 960 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 958, 638, 616, 960 with Factoring?

Given Input numbers are 958, 638, 616, 960

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 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960


GCD of numbers is the greatest common divisor

So, the GCD (958, 638, 616, 960) = 2.

Find GCD of 958, 638, 616, 960 using Prime Factorization

Given numbers are 958, 638, 616, 960

The list of prime factors of all numbers are

Prime factors of 958 are 2 x 479

Prime factors of 638 are 2 x 11 x 29

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 21

Therefore, GCD of 958, 638, 616, 960 is 2.

Steps to Calculate GCD of 958, 638, 616, 960 using LCM Formula

Given numbers are 958, 638, 616, 960

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

Apply this formula for all numbers.

Step1:

LCM(958, 638) = 305602

GCD(958, 638) = ( 958 x 638 ) / 305602

= 958 / 638

= 958


Step2:

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

= 2 / 616

= 2


Step3:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2


So, Greatest Common Divisor of 958, 638, 616, 960 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 958, 638, 616, 960

Given numbers are 958, 638, 616, 960
The greatest common divisor of numbers 958, 638, 616, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 958, 638, 616, 960 is 2.

FAQs on GCD of 958, 638, 616, 960 Calculator

1. What is the GCD of 958, 638, 616, 960?

GCD of given numbers 958, 638, 616, 960 is 2


2. How to calculate the greatest common divisor of 958, 638, 616, 960?

We can find the highest common divisor of 958, 638, 616, 960 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, 638, 616, 960 i.e 2.


3. How can I use the GCD of 958, 638, 616, 960Calculator?

Out the numbers 958, 638, 616, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.