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 645, 126, 268, 778 i.e. 1 largest integer that divides all the numbers equally.
GCD of 645, 126, 268, 778 is 1
GCD(645, 126, 268, 778) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 645, 126, 268, 778 is 1
GCD(645, 126, 268, 778) = 1
Given Input numbers are 645, 126, 268, 778
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Greatest Common Divisior
We found the divisors of 645, 126, 268, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 126, 268, 778 is 1.
Therefore, GCD of numbers 645, 126, 268, 778 is 1
Given Input Data is 645, 126, 268, 778
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 778 is 2 x 389
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(645, 126) = 27090
GCD(645, 126) = ( 645 x 126 ) / 27090
GCD(645, 126) = 81270 / 27090
GCD(645, 126) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 268
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 268) = 804
GCD(3, 268) = ( 3 x 268 ) / 804
GCD(3, 268) = 804 / 804
GCD(3, 268) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 778) = 778
GCD(1, 778) = ( 1 x 778 ) / 778
GCD(1, 778) = 778 / 778
GCD(1, 778) = 1
GCD of 645, 126, 268, 778 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 645, 126, 268, 778?
GCD of 645, 126, 268, 778 is 1
2. Where do I get the detailed procedure to find GCD of 645, 126, 268, 778?
You can find a detailed procedure to find GCD of 645, 126, 268, 778 on our page.
3. How to find GCD of 645, 126, 268, 778 on a calculator?
You can find the GCD of 645, 126, 268, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.