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 771, 248, 714, 931 i.e. 1 largest integer that divides all the numbers equally.
GCD of 771, 248, 714, 931 is 1
GCD(771, 248, 714, 931) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 248, 714, 931 is 1
GCD(771, 248, 714, 931) = 1
Given Input numbers are 771, 248, 714, 931
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
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 771, 248, 714, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 248, 714, 931 is 1.
Therefore, GCD of numbers 771, 248, 714, 931 is 1
Given Input Data is 771, 248, 714, 931
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 714 is 2 x 3 x 7 x 17
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(771, 248) = 191208
GCD(771, 248) = ( 771 x 248 ) / 191208
GCD(771, 248) = 191208 / 191208
GCD(771, 248) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 714
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
GCD(1, 714) = 714 / 714
GCD(1, 714) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 931) = 931
GCD(1, 931) = ( 1 x 931 ) / 931
GCD(1, 931) = 931 / 931
GCD(1, 931) = 1
GCD of 771, 248, 714, 931 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 771, 248, 714, 931?
GCD of 771, 248, 714, 931 is 1
2. Where do I get the detailed procedure to find GCD of 771, 248, 714, 931?
You can find a detailed procedure to find GCD of 771, 248, 714, 931 on our page.
3. How to find GCD of 771, 248, 714, 931 on a calculator?
You can find the GCD of 771, 248, 714, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.