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, 891, 175, 392 i.e. 1 largest integer that divides all the numbers equally.
GCD of 771, 891, 175, 392 is 1
GCD(771, 891, 175, 392) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 891, 175, 392 is 1
GCD(771, 891, 175, 392) = 1
Given Input numbers are 771, 891, 175, 392
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 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Greatest Common Divisior
We found the divisors of 771, 891, 175, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 891, 175, 392 is 1.
Therefore, GCD of numbers 771, 891, 175, 392 is 1
Given Input Data is 771, 891, 175, 392
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 392 is 2 x 2 x 2 x 7 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(771, 891) = 228987
GCD(771, 891) = ( 771 x 891 ) / 228987
GCD(771, 891) = 686961 / 228987
GCD(771, 891) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 175
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 175) = 525
GCD(3, 175) = ( 3 x 175 ) / 525
GCD(3, 175) = 525 / 525
GCD(3, 175) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
GCD of 771, 891, 175, 392 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 771, 891, 175, 392?
GCD of 771, 891, 175, 392 is 1
2. Where do I get the detailed procedure to find GCD of 771, 891, 175, 392?
You can find a detailed procedure to find GCD of 771, 891, 175, 392 on our page.
3. How to find GCD of 771, 891, 175, 392 on a calculator?
You can find the GCD of 771, 891, 175, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.