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GCD of 987, 963, 204, 524 Calculator

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


Online GCD Calculator is useful to find the GCD of 987, 963, 204, 524 quickly. Get the easiest ways to solve the greatest common divisor of 987, 963, 204, 524 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 987, 963, 204, 524 with Factoring?

Given Input numbers are 987, 963, 204, 524

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 963 :

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

1, 3, 9, 107, 321, 963

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524


GCD of numbers is the greatest common divisor

So, the GCD (987, 963, 204, 524) = 1.

Find GCD of 987, 963, 204, 524 using Prime Factorization

Given numbers are 987, 963, 204, 524

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 963 are 3 x 3 x 107

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 524 are 2 x 2 x 131

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

Steps to Calculate GCD of 987, 963, 204, 524 using LCM Formula

Given numbers are 987, 963, 204, 524

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

Apply this formula for all numbers.

Step1:

LCM(987, 963) = 316827

GCD(987, 963) = ( 987 x 963 ) / 316827

= 987 / 963

= 987


Step2:

LCM(3, 204) = 204

GCD(3, 204) = ( 3 x 204 ) / 204

= 3 / 204

= 3


Step3:

LCM(3, 524) = 1572

GCD(3, 524) = ( 3 x 524 ) / 1572

= 3 / 524

= 3


So, Greatest Common Divisor of 987, 963, 204, 524 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 987, 963, 204, 524

Given numbers are 987, 963, 204, 524
The greatest common divisor of numbers 987, 963, 204, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 963, 204, 524 is 1.

FAQs on GCD of 987, 963, 204, 524 Calculator

1. What is the GCD of 987, 963, 204, 524?

GCD of given numbers 987, 963, 204, 524 is 1


2. How to calculate the greatest common divisor of 987, 963, 204, 524?

We can find the highest common divisor of 987, 963, 204, 524 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 987, 963, 204, 524 i.e 1.


3. How can I use the GCD of 987, 963, 204, 524Calculator?

Out the numbers 987, 963, 204, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.