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 107, 507, 642, 779 i.e. 1 largest integer that divides all the numbers equally.
GCD of 107, 507, 642, 779 is 1
GCD(107, 507, 642, 779) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 107, 507, 642, 779 is 1
GCD(107, 507, 642, 779) = 1
Given Input numbers are 107, 507, 642, 779
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Greatest Common Divisior
We found the divisors of 107, 507, 642, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 507, 642, 779 is 1.
Therefore, GCD of numbers 107, 507, 642, 779 is 1
Given Input Data is 107, 507, 642, 779
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 107 is 107
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 779 is 19 x 41
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(107, 507) = 54249
GCD(107, 507) = ( 107 x 507 ) / 54249
GCD(107, 507) = 54249 / 54249
GCD(107, 507) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 642
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 642) = 642
GCD(1, 642) = ( 1 x 642 ) / 642
GCD(1, 642) = 642 / 642
GCD(1, 642) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 779) = 779
GCD(1, 779) = ( 1 x 779 ) / 779
GCD(1, 779) = 779 / 779
GCD(1, 779) = 1
GCD of 107, 507, 642, 779 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 107, 507, 642, 779?
GCD of 107, 507, 642, 779 is 1
2. Where do I get the detailed procedure to find GCD of 107, 507, 642, 779?
You can find a detailed procedure to find GCD of 107, 507, 642, 779 on our page.
3. How to find GCD of 107, 507, 642, 779 on a calculator?
You can find the GCD of 107, 507, 642, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.