Where do I get the detailed procedure to find GCD of 987, 822, 759?

You can find a detailed procedure to find GCD of 987, 822, 759 on our page.

How to find GCD of 987, 822, 759 on a calculator?

You can find the GCD of 987, 822, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 987, 822, 759 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, 822, 759 quickly. Get the easiest ways to solve the greatest common divisor of 987, 822, 759 i.e 3 in different methods as follows.

How to Find GCD of Numbers 987, 822, 759 with Factoring?

Given Input numbers are 987, 822, 759

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 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

GCD of numbers is the greatest common divisor

So, the GCD (987, 822, 759) = 3.

Find GCD of 987, 822, 759 using Prime Factorization

Given numbers are 987, 822, 759

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 822 are 2 x 3 x 137

Prime factors of 759 are 3 x 11 x 23

The highest common occurrence is 3¹

Therefore, GCD of 987, 822, 759 is 3.

Steps to Calculate GCD of 987, 822, 759 using LCM Formula

Given numbers are 987, 822, 759

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

Apply this formula for all numbers.

Step1:

LCM(987, 822) = 270438

GCD(987, 822) = ( 987 x 822 ) / 270438

= 987 / 822

= 987

Step2:

LCM(3, 759) = 759

GCD(3, 759) = ( 3 x 759 ) / 759

= 3 / 759

= 3

So, Greatest Common Divisor of 987, 822, 759 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 987, 822, 759

Given numbers are 987, 822, 759
The greatest common divisor of numbers 987, 822, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 822, 759 is 3.

FAQs on GCD of 987, 822, 759 Calculator

1. What is the GCD of 987, 822, 759?

GCD of given numbers 987, 822, 759 is 3

2. How to calculate the greatest common divisor of 987, 822, 759?

We can find the highest common divisor of 987, 822, 759 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, 822, 759 i.e 3.

3. How can I use the GCD of 987, 822, 759Calculator?

Out the numbers 987, 822, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.