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 681, 126, 724, 977 i.e. 1 largest integer that divides all the numbers equally.
GCD of 681, 126, 724, 977 is 1
GCD(681, 126, 724, 977) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 681, 126, 724, 977 is 1
GCD(681, 126, 724, 977) = 1
Given Input numbers are 681, 126, 724, 977
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
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 681, 126, 724, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 681, 126, 724, 977 is 1.
Therefore, GCD of numbers 681, 126, 724, 977 is 1
Given Input Data is 681, 126, 724, 977
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 681 is 3 x 227
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 724 is 2 x 2 x 181
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(681, 126) = 28602
GCD(681, 126) = ( 681 x 126 ) / 28602
GCD(681, 126) = 85806 / 28602
GCD(681, 126) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 724
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 724) = 2172
GCD(3, 724) = ( 3 x 724 ) / 2172
GCD(3, 724) = 2172 / 2172
GCD(3, 724) = 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 681, 126, 724, 977 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 681, 126, 724, 977?
GCD of 681, 126, 724, 977 is 1
2. Where do I get the detailed procedure to find GCD of 681, 126, 724, 977?
You can find a detailed procedure to find GCD of 681, 126, 724, 977 on our page.
3. How to find GCD of 681, 126, 724, 977 on a calculator?
You can find the GCD of 681, 126, 724, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.