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GCD of 966, 968, 667, 420 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, 968, 667, 420 quickly. Get the easiest ways to solve the greatest common divisor of 966, 968, 667, 420 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 966, 968, 667, 420 with Factoring?

Given Input numbers are 966, 968, 667, 420

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 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 667 :

The positive integer divisors of 667 that completely divides 667 are.

1, 23, 29, 667

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420


GCD of numbers is the greatest common divisor

So, the GCD (966, 968, 667, 420) = 1.

Find GCD of 966, 968, 667, 420 using Prime Factorization

Given numbers are 966, 968, 667, 420

The list of prime factors of all numbers are

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

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 667 are 23 x 29

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Steps to Calculate GCD of 966, 968, 667, 420 using LCM Formula

Given numbers are 966, 968, 667, 420

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

Apply this formula for all numbers.

Step1:

LCM(966, 968) = 467544

GCD(966, 968) = ( 966 x 968 ) / 467544

= 966 / 968

= 966


Step2:

LCM(2, 667) = 1334

GCD(2, 667) = ( 2 x 667 ) / 1334

= 2 / 667

= 2


Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1


So, Greatest Common Divisor of 966, 968, 667, 420 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 966, 968, 667, 420

Given numbers are 966, 968, 667, 420
The greatest common divisor of numbers 966, 968, 667, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 968, 667, 420 is 1.

FAQs on GCD of 966, 968, 667, 420 Calculator

1. What is the GCD of 966, 968, 667, 420?

GCD of given numbers 966, 968, 667, 420 is 1


2. How to calculate the greatest common divisor of 966, 968, 667, 420?

We can find the highest common divisor of 966, 968, 667, 420 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, 968, 667, 420 i.e 1.


3. How can I use the GCD of 966, 968, 667, 420Calculator?

Out the numbers 966, 968, 667, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.