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 577, 957, 76, 961 i.e. 1 largest integer that divides all the numbers equally.
GCD of 577, 957, 76, 961 is 1
GCD(577, 957, 76, 961) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 577, 957, 76, 961 is 1
GCD(577, 957, 76, 961) = 1
Given Input numbers are 577, 957, 76, 961
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Greatest Common Divisior
We found the divisors of 577, 957, 76, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 957, 76, 961 is 1.
Therefore, GCD of numbers 577, 957, 76, 961 is 1
Given Input Data is 577, 957, 76, 961
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 577 is 577
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 961 is 31 x 31
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(577, 957) = 552189
GCD(577, 957) = ( 577 x 957 ) / 552189
GCD(577, 957) = 552189 / 552189
GCD(577, 957) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 961
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 961) = 961
GCD(1, 961) = ( 1 x 961 ) / 961
GCD(1, 961) = 961 / 961
GCD(1, 961) = 1
GCD of 577, 957, 76, 961 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 577, 957, 76, 961?
GCD of 577, 957, 76, 961 is 1
2. Where do I get the detailed procedure to find GCD of 577, 957, 76, 961?
You can find a detailed procedure to find GCD of 577, 957, 76, 961 on our page.
3. How to find GCD of 577, 957, 76, 961 on a calculator?
You can find the GCD of 577, 957, 76, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.