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GCD of 987, 324, 813, 550 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, 324, 813, 550 quickly. Get the easiest ways to solve the greatest common divisor of 987, 324, 813, 550 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 987, 324, 813, 550 with Factoring?

Given Input numbers are 987, 324, 813, 550

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 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550


GCD of numbers is the greatest common divisor

So, the GCD (987, 324, 813, 550) = 1.

Find GCD of 987, 324, 813, 550 using Prime Factorization

Given numbers are 987, 324, 813, 550

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 813 are 3 x 271

Prime factors of 550 are 2 x 5 x 5 x 11

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

Steps to Calculate GCD of 987, 324, 813, 550 using LCM Formula

Given numbers are 987, 324, 813, 550

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

Apply this formula for all numbers.

Step1:

LCM(987, 324) = 106596

GCD(987, 324) = ( 987 x 324 ) / 106596

= 987 / 324

= 987


Step2:

LCM(3, 813) = 813

GCD(3, 813) = ( 3 x 813 ) / 813

= 3 / 813

= 3


Step3:

LCM(3, 550) = 1650

GCD(3, 550) = ( 3 x 550 ) / 1650

= 3 / 550

= 3


So, Greatest Common Divisor of 987, 324, 813, 550 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 987, 324, 813, 550

Given numbers are 987, 324, 813, 550
The greatest common divisor of numbers 987, 324, 813, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 324, 813, 550 is 1.

FAQs on GCD of 987, 324, 813, 550 Calculator

1. What is the GCD of 987, 324, 813, 550?

GCD of given numbers 987, 324, 813, 550 is 1


2. How to calculate the greatest common divisor of 987, 324, 813, 550?

We can find the highest common divisor of 987, 324, 813, 550 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, 324, 813, 550 i.e 1.


3. How can I use the GCD of 987, 324, 813, 550Calculator?

Out the numbers 987, 324, 813, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.