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 numbers 870, 520, 977, 280 is 1
GCD(870, 520, 977, 280) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.