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 674, 645, 135, 951 i.e. 1 largest integer that divides all the numbers equally.
GCD of 674, 645, 135, 951 is 1
GCD(674, 645, 135, 951) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 674, 645, 135, 951 is 1
GCD(674, 645, 135, 951) = 1
Given Input numbers are 674, 645, 135, 951
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
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 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Greatest Common Divisior
We found the divisors of 674, 645, 135, 951 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 645, 135, 951 is 1.
Therefore, GCD of numbers 674, 645, 135, 951 is 1
Given Input Data is 674, 645, 135, 951
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 674 is 2 x 337
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 951 is 3 x 317
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(674, 645) = 434730
GCD(674, 645) = ( 674 x 645 ) / 434730
GCD(674, 645) = 434730 / 434730
GCD(674, 645) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 951
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 951) = 951
GCD(1, 951) = ( 1 x 951 ) / 951
GCD(1, 951) = 951 / 951
GCD(1, 951) = 1
GCD of 674, 645, 135, 951 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 674, 645, 135, 951?
GCD of 674, 645, 135, 951 is 1
2. Where do I get the detailed procedure to find GCD of 674, 645, 135, 951?
You can find a detailed procedure to find GCD of 674, 645, 135, 951 on our page.
3. How to find GCD of 674, 645, 135, 951 on a calculator?
You can find the GCD of 674, 645, 135, 951 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.