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GCD of 963, 180, 674, 923 Calculator

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


Online GCD Calculator is useful to find the GCD of 963, 180, 674, 923 quickly. Get the easiest ways to solve the greatest common divisor of 963, 180, 674, 923 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 963, 180, 674, 923 with Factoring?

Given Input numbers are 963, 180, 674, 923

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

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 923 :

The positive integer divisors of 923 that completely divides 923 are.

1, 13, 71, 923


GCD of numbers is the greatest common divisor

So, the GCD (963, 180, 674, 923) = 1.

Find GCD of 963, 180, 674, 923 using Prime Factorization

Given numbers are 963, 180, 674, 923

The list of prime factors of all numbers are

Prime factors of 963 are 3 x 3 x 107

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 674 are 2 x 337

Prime factors of 923 are 13 x 71

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

Steps to Calculate GCD of 963, 180, 674, 923 using LCM Formula

Given numbers are 963, 180, 674, 923

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

Apply this formula for all numbers.

Step1:

LCM(963, 180) = 19260

GCD(963, 180) = ( 963 x 180 ) / 19260

= 963 / 180

= 963


Step2:

LCM(9, 674) = 6066

GCD(9, 674) = ( 9 x 674 ) / 6066

= 9 / 674

= 9


Step3:

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

= 1 / 923

= 1


So, Greatest Common Divisor of 963, 180, 674, 923 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 963, 180, 674, 923

Given numbers are 963, 180, 674, 923
The greatest common divisor of numbers 963, 180, 674, 923 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 963, 180, 674, 923 is 1.

FAQs on GCD of 963, 180, 674, 923 Calculator

1. What is the GCD of 963, 180, 674, 923?

GCD of given numbers 963, 180, 674, 923 is 1


2. How to calculate the greatest common divisor of 963, 180, 674, 923?

We can find the highest common divisor of 963, 180, 674, 923 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 963, 180, 674, 923 i.e 1.


3. How can I use the GCD of 963, 180, 674, 923Calculator?

Out the numbers 963, 180, 674, 923 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.