GCD of 87, 652, 901, 982 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 87, 652, 901, 982 i.e. 1 largest integer that divides all the numbers equally.

GCD of 87, 652, 901, 982 is 1

GCD(87, 652, 901, 982) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 87, 652, 901, 982 is 1

GCD(87, 652, 901, 982) = 1

GCD of 87,652,901,982 Calculator

GCDof 87,652,901,982 is 1

Given Input numbers are 87, 652, 901, 982

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 87, 652, 901, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 652, 901, 982 is 1.

Therefore, GCD of numbers 87, 652, 901, 982 is 1

Finding GCD of 87, 652, 901, 982 using Prime Factorization

Given Input Data is 87, 652, 901, 982

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 87 is 3 x 29

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 901 is 17 x 53

Prime Factorization of 982 is 2 x 491

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

Finding GCD of 87, 652, 901, 982 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(87, 652) = 56724

GCD(87, 652) = ( 87 x 652 ) / 56724

GCD(87, 652) = 56724 / 56724

GCD(87, 652) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 87, 652, 901, 982 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 87, 652, 901, 982

1. What is the GCD of 87, 652, 901, 982?

GCD of 87, 652, 901, 982 is 1


2. Where do I get the detailed procedure to find GCD of 87, 652, 901, 982?

You can find a detailed procedure to find GCD of 87, 652, 901, 982 on our page.


3. How to find GCD of 87, 652, 901, 982 on a calculator?

You can find the GCD of 87, 652, 901, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.