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GCD of 960, 179, 470, 971 Calculator

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


Online GCD Calculator is useful to find the GCD of 960, 179, 470, 971 quickly. Get the easiest ways to solve the greatest common divisor of 960, 179, 470, 971 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 960, 179, 470, 971 with Factoring?

Given Input numbers are 960, 179, 470, 971

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

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

Divisors of 179 :

The positive integer divisors of 179 that completely divides 179 are.

1, 179

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971


GCD of numbers is the greatest common divisor

So, the GCD (960, 179, 470, 971) = 1.

Find GCD of 960, 179, 470, 971 using Prime Factorization

Given numbers are 960, 179, 470, 971

The list of prime factors of all numbers are

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

Prime factors of 179 are 179

Prime factors of 470 are 2 x 5 x 47

Prime factors of 971 are 971

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

Steps to Calculate GCD of 960, 179, 470, 971 using LCM Formula

Given numbers are 960, 179, 470, 971

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

Apply this formula for all numbers.

Step1:

LCM(960, 179) = 171840

GCD(960, 179) = ( 960 x 179 ) / 171840

= 960 / 179

= 960


Step2:

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

= 1 / 470

= 1


Step3:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1


So, Greatest Common Divisor of 960, 179, 470, 971 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 960, 179, 470, 971

Given numbers are 960, 179, 470, 971
The greatest common divisor of numbers 960, 179, 470, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 179, 470, 971 is 1.

FAQs on GCD of 960, 179, 470, 971 Calculator

1. What is the GCD of 960, 179, 470, 971?

GCD of given numbers 960, 179, 470, 971 is 1


2. How to calculate the greatest common divisor of 960, 179, 470, 971?

We can find the highest common divisor of 960, 179, 470, 971 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 960, 179, 470, 971 i.e 1.


3. How can I use the GCD of 960, 179, 470, 971Calculator?

Out the numbers 960, 179, 470, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.