GCD of 870, 520, 977, 280 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 870, 520, 977, 280 i.e. 1 largest integer that divides all the numbers equally.

GCD of 870, 520, 977, 280 is 1

GCD(870, 520, 977, 280) = 1

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

GCD of

GCD of numbers 870, 520, 977, 280 is 1

GCD(870, 520, 977, 280) = 1

GCD of 870,520,977,280 Calculator

GCDof 870,520,977,280 is 1

Given Input numbers are 870, 520, 977, 280

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 977

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

1, 977

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 870, 520, 977, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 520, 977, 280 is 1.

Therefore, GCD of numbers 870, 520, 977, 280 is 1

Finding GCD of 870, 520, 977, 280 using Prime Factorization

Given Input Data is 870, 520, 977, 280

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 977 is 977

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

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

Finding GCD of 870, 520, 977, 280 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(870, 520) = 45240

GCD(870, 520) = ( 870 x 520 ) / 45240

GCD(870, 520) = 452400 / 45240

GCD(870, 520) = 10


Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 977

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

LCM(10, 977) = 9770

GCD(10, 977) = ( 10 x 977 ) / 9770

GCD(10, 977) = 9770 / 9770

GCD(10, 977) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

GCD of 870, 520, 977, 280 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 870, 520, 977, 280

1. What is the GCD of 870, 520, 977, 280?

GCD of 870, 520, 977, 280 is 1


2. Where do I get the detailed procedure to find GCD of 870, 520, 977, 280?

You can find a detailed procedure to find GCD of 870, 520, 977, 280 on our page.


3. How to find GCD of 870, 520, 977, 280 on a calculator?

You can find the GCD of 870, 520, 977, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.