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 977, 480, 521, 280 i.e. 1 largest integer that divides all the numbers equally.
GCD of 977, 480, 521, 280 is 1
GCD(977, 480, 521, 280) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 977, 480, 521, 280 is 1
GCD(977, 480, 521, 280) = 1
Given Input numbers are 977, 480, 521, 280
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
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 977, 480, 521, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 480, 521, 280 is 1.
Therefore, GCD of numbers 977, 480, 521, 280 is 1
Given Input Data is 977, 480, 521, 280
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 977 is 977
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 521 is 521
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(977, 480) = 468960
GCD(977, 480) = ( 977 x 480 ) / 468960
GCD(977, 480) = 468960 / 468960
GCD(977, 480) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 521
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 521) = 521
GCD(1, 521) = ( 1 x 521 ) / 521
GCD(1, 521) = 521 / 521
GCD(1, 521) = 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 977, 480, 521, 280 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 977, 480, 521, 280?
GCD of 977, 480, 521, 280 is 1
2. Where do I get the detailed procedure to find GCD of 977, 480, 521, 280?
You can find a detailed procedure to find GCD of 977, 480, 521, 280 on our page.
3. How to find GCD of 977, 480, 521, 280 on a calculator?
You can find the GCD of 977, 480, 521, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.