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 779, 916, 357, 632 i.e. 1 largest integer that divides all the numbers equally.
GCD of 779, 916, 357, 632 is 1
GCD(779, 916, 357, 632) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 779, 916, 357, 632 is 1
GCD(779, 916, 357, 632) = 1
Given Input numbers are 779, 916, 357, 632
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Greatest Common Divisior
We found the divisors of 779, 916, 357, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 779, 916, 357, 632 is 1.
Therefore, GCD of numbers 779, 916, 357, 632 is 1
Given Input Data is 779, 916, 357, 632
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 779 is 19 x 41
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 632 is 2 x 2 x 2 x 79
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(779, 916) = 713564
GCD(779, 916) = ( 779 x 916 ) / 713564
GCD(779, 916) = 713564 / 713564
GCD(779, 916) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 632
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 632) = 632
GCD(1, 632) = ( 1 x 632 ) / 632
GCD(1, 632) = 632 / 632
GCD(1, 632) = 1
GCD of 779, 916, 357, 632 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 779, 916, 357, 632?
GCD of 779, 916, 357, 632 is 1
2. Where do I get the detailed procedure to find GCD of 779, 916, 357, 632?
You can find a detailed procedure to find GCD of 779, 916, 357, 632 on our page.
3. How to find GCD of 779, 916, 357, 632 on a calculator?
You can find the GCD of 779, 916, 357, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.