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 119, 980, 337, 787 i.e. 1 largest integer that divides all the numbers equally.
GCD of 119, 980, 337, 787 is 1
GCD(119, 980, 337, 787) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 119, 980, 337, 787 is 1
GCD(119, 980, 337, 787) = 1
Given Input numbers are 119, 980, 337, 787
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
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 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Greatest Common Divisior
We found the divisors of 119, 980, 337, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 980, 337, 787 is 1.
Therefore, GCD of numbers 119, 980, 337, 787 is 1
Given Input Data is 119, 980, 337, 787
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 119 is 7 x 17
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 337 is 337
Prime Factorization of 787 is 787
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(119, 980) = 16660
GCD(119, 980) = ( 119 x 980 ) / 16660
GCD(119, 980) = 116620 / 16660
GCD(119, 980) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 337) = 2359
GCD(7, 337) = ( 7 x 337 ) / 2359
GCD(7, 337) = 2359 / 2359
GCD(7, 337) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 787
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 787) = 787
GCD(1, 787) = ( 1 x 787 ) / 787
GCD(1, 787) = 787 / 787
GCD(1, 787) = 1
GCD of 119, 980, 337, 787 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 119, 980, 337, 787?
GCD of 119, 980, 337, 787 is 1
2. Where do I get the detailed procedure to find GCD of 119, 980, 337, 787?
You can find a detailed procedure to find GCD of 119, 980, 337, 787 on our page.
3. How to find GCD of 119, 980, 337, 787 on a calculator?
You can find the GCD of 119, 980, 337, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.