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 874, 772, 64, 931 i.e. 1 largest integer that divides all the numbers equally.
GCD of 874, 772, 64, 931 is 1
GCD(874, 772, 64, 931) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 772, 64, 931 is 1
GCD(874, 772, 64, 931) = 1
Given Input numbers are 874, 772, 64, 931
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Greatest Common Divisior
We found the divisors of 874, 772, 64, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 772, 64, 931 is 1.
Therefore, GCD of numbers 874, 772, 64, 931 is 1
Given Input Data is 874, 772, 64, 931
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 931 is 7 x 7 x 19
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(874, 772) = 337364
GCD(874, 772) = ( 874 x 772 ) / 337364
GCD(874, 772) = 674728 / 337364
GCD(874, 772) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 64) = 64
GCD(2, 64) = ( 2 x 64 ) / 64
GCD(2, 64) = 128 / 64
GCD(2, 64) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 931) = 1862
GCD(2, 931) = ( 2 x 931 ) / 1862
GCD(2, 931) = 1862 / 1862
GCD(2, 931) = 1
GCD of 874, 772, 64, 931 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 772, 64, 931?
GCD of 874, 772, 64, 931 is 1
2. Where do I get the detailed procedure to find GCD of 874, 772, 64, 931?
You can find a detailed procedure to find GCD of 874, 772, 64, 931 on our page.
3. How to find GCD of 874, 772, 64, 931 on a calculator?
You can find the GCD of 874, 772, 64, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.