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, 931, 775, 920 i.e. 1 largest integer that divides all the numbers equally.
GCD of 771, 931, 775, 920 is 1
GCD(771, 931, 775, 920) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 931, 775, 920 is 1
GCD(771, 931, 775, 920) = 1
Given Input numbers are 771, 931, 775, 920
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 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Greatest Common Divisior
We found the divisors of 771, 931, 775, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 931, 775, 920 is 1.
Therefore, GCD of numbers 771, 931, 775, 920 is 1
Given Input Data is 771, 931, 775, 920
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
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, 931) = 717801
GCD(771, 931) = ( 771 x 931 ) / 717801
GCD(771, 931) = 717801 / 717801
GCD(771, 931) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
GCD(1, 775) = 775 / 775
GCD(1, 775) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 1
GCD of 771, 931, 775, 920 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 771, 931, 775, 920?
GCD of 771, 931, 775, 920 is 1
2. Where do I get the detailed procedure to find GCD of 771, 931, 775, 920?
You can find a detailed procedure to find GCD of 771, 931, 775, 920 on our page.
3. How to find GCD of 771, 931, 775, 920 on a calculator?
You can find the GCD of 771, 931, 775, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.