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, 980, 657, 377 i.e. 1 largest integer that divides all the numbers equally.
GCD of 138, 980, 657, 377 is 1
GCD(138, 980, 657, 377) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 138, 980, 657, 377 is 1
GCD(138, 980, 657, 377) = 1
Given Input numbers are 138, 980, 657, 377
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 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Greatest Common Divisior
We found the divisors of 138, 980, 657, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 980, 657, 377 is 1.
Therefore, GCD of numbers 138, 980, 657, 377 is 1
Given Input Data is 138, 980, 657, 377
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 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 377 is 13 x 29
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, 980) = 67620
GCD(138, 980) = ( 138 x 980 ) / 67620
GCD(138, 980) = 135240 / 67620
GCD(138, 980) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 657
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 657) = 1314
GCD(2, 657) = ( 2 x 657 ) / 1314
GCD(2, 657) = 1314 / 1314
GCD(2, 657) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 377
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 377) = 377
GCD(1, 377) = ( 1 x 377 ) / 377
GCD(1, 377) = 377 / 377
GCD(1, 377) = 1
GCD of 138, 980, 657, 377 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 138, 980, 657, 377?
GCD of 138, 980, 657, 377 is 1
2. Where do I get the detailed procedure to find GCD of 138, 980, 657, 377?
You can find a detailed procedure to find GCD of 138, 980, 657, 377 on our page.
3. How to find GCD of 138, 980, 657, 377 on a calculator?
You can find the GCD of 138, 980, 657, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.