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, 338, 854, 932 i.e. 1 largest integer that divides all the numbers equally.
GCD of 771, 338, 854, 932 is 1
GCD(771, 338, 854, 932) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 338, 854, 932 is 1
GCD(771, 338, 854, 932) = 1
Given Input numbers are 771, 338, 854, 932
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 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Greatest Common Divisior
We found the divisors of 771, 338, 854, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 338, 854, 932 is 1.
Therefore, GCD of numbers 771, 338, 854, 932 is 1
Given Input Data is 771, 338, 854, 932
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 932 is 2 x 2 x 233
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, 338) = 260598
GCD(771, 338) = ( 771 x 338 ) / 260598
GCD(771, 338) = 260598 / 260598
GCD(771, 338) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 854
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 854) = 854
GCD(1, 854) = ( 1 x 854 ) / 854
GCD(1, 854) = 854 / 854
GCD(1, 854) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 932
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 932) = 932
GCD(1, 932) = ( 1 x 932 ) / 932
GCD(1, 932) = 932 / 932
GCD(1, 932) = 1
GCD of 771, 338, 854, 932 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 771, 338, 854, 932?
GCD of 771, 338, 854, 932 is 1
2. Where do I get the detailed procedure to find GCD of 771, 338, 854, 932?
You can find a detailed procedure to find GCD of 771, 338, 854, 932 on our page.
3. How to find GCD of 771, 338, 854, 932 on a calculator?
You can find the GCD of 771, 338, 854, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.