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, 138, 718, 692 i.e. 1 largest integer that divides all the numbers equally.
GCD of 645, 138, 718, 692 is 1
GCD(645, 138, 718, 692) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 645, 138, 718, 692 is 1
GCD(645, 138, 718, 692) = 1
Given Input numbers are 645, 138, 718, 692
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 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Greatest Common Divisior
We found the divisors of 645, 138, 718, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 138, 718, 692 is 1.
Therefore, GCD of numbers 645, 138, 718, 692 is 1
Given Input Data is 645, 138, 718, 692
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 138 is 2 x 3 x 23
Prime Factorization of 718 is 2 x 359
Prime Factorization of 692 is 2 x 2 x 173
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, 138) = 29670
GCD(645, 138) = ( 645 x 138 ) / 29670
GCD(645, 138) = 89010 / 29670
GCD(645, 138) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 718
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 718) = 2154
GCD(3, 718) = ( 3 x 718 ) / 2154
GCD(3, 718) = 2154 / 2154
GCD(3, 718) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
GCD(1, 692) = 692 / 692
GCD(1, 692) = 1
GCD of 645, 138, 718, 692 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 645, 138, 718, 692?
GCD of 645, 138, 718, 692 is 1
2. Where do I get the detailed procedure to find GCD of 645, 138, 718, 692?
You can find a detailed procedure to find GCD of 645, 138, 718, 692 on our page.
3. How to find GCD of 645, 138, 718, 692 on a calculator?
You can find the GCD of 645, 138, 718, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.