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GCD of 966, 466, 580, 959 Calculator

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


Online GCD Calculator is useful to find the GCD of 966, 466, 580, 959 quickly. Get the easiest ways to solve the greatest common divisor of 966, 466, 580, 959 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 966, 466, 580, 959 with Factoring?

Given Input numbers are 966, 466, 580, 959

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959


GCD of numbers is the greatest common divisor

So, the GCD (966, 466, 580, 959) = 1.

Find GCD of 966, 466, 580, 959 using Prime Factorization

Given numbers are 966, 466, 580, 959

The list of prime factors of all numbers are

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 466 are 2 x 233

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 959 are 7 x 137

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

Steps to Calculate GCD of 966, 466, 580, 959 using LCM Formula

Given numbers are 966, 466, 580, 959

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

Apply this formula for all numbers.

Step1:

LCM(966, 466) = 225078

GCD(966, 466) = ( 966 x 466 ) / 225078

= 966 / 466

= 966


Step2:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2


Step3:

LCM(2, 959) = 1918

GCD(2, 959) = ( 2 x 959 ) / 1918

= 2 / 959

= 2


So, Greatest Common Divisor of 966, 466, 580, 959 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 966, 466, 580, 959

Given numbers are 966, 466, 580, 959
The greatest common divisor of numbers 966, 466, 580, 959 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 466, 580, 959 is 1.

FAQs on GCD of 966, 466, 580, 959 Calculator

1. What is the GCD of 966, 466, 580, 959?

GCD of given numbers 966, 466, 580, 959 is 1


2. How to calculate the greatest common divisor of 966, 466, 580, 959?

We can find the highest common divisor of 966, 466, 580, 959 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 966, 466, 580, 959 i.e 1.


3. How can I use the GCD of 966, 466, 580, 959Calculator?

Out the numbers 966, 466, 580, 959 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.