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 767, 676, 588, 977 i.e. 1 largest integer that divides all the numbers equally.
GCD of 767, 676, 588, 977 is 1
GCD(767, 676, 588, 977) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 767, 676, 588, 977 is 1
GCD(767, 676, 588, 977) = 1
Given Input numbers are 767, 676, 588, 977
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Greatest Common Divisior
We found the divisors of 767, 676, 588, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 676, 588, 977 is 1.
Therefore, GCD of numbers 767, 676, 588, 977 is 1
Given Input Data is 767, 676, 588, 977
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 767 is 13 x 59
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 977 is 977
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(767, 676) = 39884
GCD(767, 676) = ( 767 x 676 ) / 39884
GCD(767, 676) = 518492 / 39884
GCD(767, 676) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 588) = 7644
GCD(13, 588) = ( 13 x 588 ) / 7644
GCD(13, 588) = 7644 / 7644
GCD(13, 588) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 977
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 977) = 977
GCD(1, 977) = ( 1 x 977 ) / 977
GCD(1, 977) = 977 / 977
GCD(1, 977) = 1
GCD of 767, 676, 588, 977 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 767, 676, 588, 977?
GCD of 767, 676, 588, 977 is 1
2. Where do I get the detailed procedure to find GCD of 767, 676, 588, 977?
You can find a detailed procedure to find GCD of 767, 676, 588, 977 on our page.
3. How to find GCD of 767, 676, 588, 977 on a calculator?
You can find the GCD of 767, 676, 588, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.