GCD of 987, 977, 45, 526 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 987, 977, 45, 526 i.e. 1 largest integer that divides all the numbers equally.

GCD of 987, 977, 45, 526 is 1

GCD(987, 977, 45, 526) = 1

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

GCD of

GCD of numbers 987, 977, 45, 526 is 1

GCD(987, 977, 45, 526) = 1

GCD of 987,977,45,526 Calculator

GCDof 987,977,45,526 is 1

Given Input numbers are 987, 977, 45, 526

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

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

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Greatest Common Divisior

We found the divisors of 987, 977, 45, 526 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 977, 45, 526 is 1.

Therefore, GCD of numbers 987, 977, 45, 526 is 1

Finding GCD of 987, 977, 45, 526 using Prime Factorization

Given Input Data is 987, 977, 45, 526

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 977 is 977

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 526 is 2 x 263

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

Finding GCD of 987, 977, 45, 526 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(987, 977) = 964299

GCD(987, 977) = ( 987 x 977 ) / 964299

GCD(987, 977) = 964299 / 964299

GCD(987, 977) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 526

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

LCM(1, 526) = 526

GCD(1, 526) = ( 1 x 526 ) / 526

GCD(1, 526) = 526 / 526

GCD(1, 526) = 1

GCD of 987, 977, 45, 526 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 987, 977, 45, 526

1. What is the GCD of 987, 977, 45, 526?

GCD of 987, 977, 45, 526 is 1


2. Where do I get the detailed procedure to find GCD of 987, 977, 45, 526?

You can find a detailed procedure to find GCD of 987, 977, 45, 526 on our page.


3. How to find GCD of 987, 977, 45, 526 on a calculator?

You can find the GCD of 987, 977, 45, 526 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.