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 77, 921, 393, 130 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 921, 393, 130 is 1
GCD(77, 921, 393, 130) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 921, 393, 130 is 1
GCD(77, 921, 393, 130) = 1
Given Input numbers are 77, 921, 393, 130
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Greatest Common Divisior
We found the divisors of 77, 921, 393, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 921, 393, 130 is 1.
Therefore, GCD of numbers 77, 921, 393, 130 is 1
Given Input Data is 77, 921, 393, 130
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 921 is 3 x 307
Prime Factorization of 393 is 3 x 131
Prime Factorization of 130 is 2 x 5 x 13
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(77, 921) = 70917
GCD(77, 921) = ( 77 x 921 ) / 70917
GCD(77, 921) = 70917 / 70917
GCD(77, 921) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 393) = 393
GCD(1, 393) = ( 1 x 393 ) / 393
GCD(1, 393) = 393 / 393
GCD(1, 393) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
GCD(1, 130) = 130 / 130
GCD(1, 130) = 1
GCD of 77, 921, 393, 130 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 921, 393, 130?
GCD of 77, 921, 393, 130 is 1
2. Where do I get the detailed procedure to find GCD of 77, 921, 393, 130?
You can find a detailed procedure to find GCD of 77, 921, 393, 130 on our page.
3. How to find GCD of 77, 921, 393, 130 on a calculator?
You can find the GCD of 77, 921, 393, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.