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 138, 954, 695, 646 i.e. 1 largest integer that divides all the numbers equally.
GCD of 138, 954, 695, 646 is 1
GCD(138, 954, 695, 646) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 138, 954, 695, 646 is 1
GCD(138, 954, 695, 646) = 1
Given Input numbers are 138, 954, 695, 646
To find the GCD of numbers using factoring list out all the divisors of each number
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 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Greatest Common Divisior
We found the divisors of 138, 954, 695, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 954, 695, 646 is 1.
Therefore, GCD of numbers 138, 954, 695, 646 is 1
Given Input Data is 138, 954, 695, 646
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 695 is 5 x 139
Prime Factorization of 646 is 2 x 17 x 19
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(138, 954) = 21942
GCD(138, 954) = ( 138 x 954 ) / 21942
GCD(138, 954) = 131652 / 21942
GCD(138, 954) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 695) = 4170
GCD(6, 695) = ( 6 x 695 ) / 4170
GCD(6, 695) = 4170 / 4170
GCD(6, 695) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
GCD(1, 646) = 646 / 646
GCD(1, 646) = 1
GCD of 138, 954, 695, 646 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 138, 954, 695, 646?
GCD of 138, 954, 695, 646 is 1
2. Where do I get the detailed procedure to find GCD of 138, 954, 695, 646?
You can find a detailed procedure to find GCD of 138, 954, 695, 646 on our page.
3. How to find GCD of 138, 954, 695, 646 on a calculator?
You can find the GCD of 138, 954, 695, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.