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 91, 724, 674, 567 i.e. 1 largest integer that divides all the numbers equally.
GCD of 91, 724, 674, 567 is 1
GCD(91, 724, 674, 567) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 91, 724, 674, 567 is 1
GCD(91, 724, 674, 567) = 1
Given Input numbers are 91, 724, 674, 567
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Greatest Common Divisior
We found the divisors of 91, 724, 674, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 724, 674, 567 is 1.
Therefore, GCD of numbers 91, 724, 674, 567 is 1
Given Input Data is 91, 724, 674, 567
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 91 is 7 x 13
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 674 is 2 x 337
Prime Factorization of 567 is 3 x 3 x 3 x 3 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(91, 724) = 65884
GCD(91, 724) = ( 91 x 724 ) / 65884
GCD(91, 724) = 65884 / 65884
GCD(91, 724) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 674
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 674) = 674
GCD(1, 674) = ( 1 x 674 ) / 674
GCD(1, 674) = 674 / 674
GCD(1, 674) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
GCD(1, 567) = 567 / 567
GCD(1, 567) = 1
GCD of 91, 724, 674, 567 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 91, 724, 674, 567?
GCD of 91, 724, 674, 567 is 1
2. Where do I get the detailed procedure to find GCD of 91, 724, 674, 567?
You can find a detailed procedure to find GCD of 91, 724, 674, 567 on our page.
3. How to find GCD of 91, 724, 674, 567 on a calculator?
You can find the GCD of 91, 724, 674, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.