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, 320, 61, 515 i.e. 1 largest integer that divides all the numbers equally.
GCD of 977, 320, 61, 515 is 1
GCD(977, 320, 61, 515) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 977, 320, 61, 515 is 1
GCD(977, 320, 61, 515) = 1
Given Input numbers are 977, 320, 61, 515
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 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 515
List of positive integer divisors of 515 that divides 515 without a remainder.
1, 5, 103, 515
Greatest Common Divisior
We found the divisors of 977, 320, 61, 515 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 320, 61, 515 is 1.
Therefore, GCD of numbers 977, 320, 61, 515 is 1
Given Input Data is 977, 320, 61, 515
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 977 is 977
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 61 is 61
Prime Factorization of 515 is 5 x 103
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, 320) = 312640
GCD(977, 320) = ( 977 x 320 ) / 312640
GCD(977, 320) = 312640 / 312640
GCD(977, 320) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 515
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 515) = 515
GCD(1, 515) = ( 1 x 515 ) / 515
GCD(1, 515) = 515 / 515
GCD(1, 515) = 1
GCD of 977, 320, 61, 515 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 977, 320, 61, 515?
GCD of 977, 320, 61, 515 is 1
2. Where do I get the detailed procedure to find GCD of 977, 320, 61, 515?
You can find a detailed procedure to find GCD of 977, 320, 61, 515 on our page.
3. How to find GCD of 977, 320, 61, 515 on a calculator?
You can find the GCD of 977, 320, 61, 515 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.