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 987, 948, 97, 779 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 948, 97, 779 is 1
GCD(987, 948, 97, 779) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 948, 97, 779 is 1
GCD(987, 948, 97, 779) = 1
Given Input numbers are 987, 948, 97, 779
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Greatest Common Divisior
We found the divisors of 987, 948, 97, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 948, 97, 779 is 1.
Therefore, GCD of numbers 987, 948, 97, 779 is 1
Given Input Data is 987, 948, 97, 779
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 97 is 97
Prime Factorization of 779 is 19 x 41
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(987, 948) = 311892
GCD(987, 948) = ( 987 x 948 ) / 311892
GCD(987, 948) = 935676 / 311892
GCD(987, 948) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 97) = 291
GCD(3, 97) = ( 3 x 97 ) / 291
GCD(3, 97) = 291 / 291
GCD(3, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 779) = 779
GCD(1, 779) = ( 1 x 779 ) / 779
GCD(1, 779) = 779 / 779
GCD(1, 779) = 1
GCD of 987, 948, 97, 779 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 948, 97, 779?
GCD of 987, 948, 97, 779 is 1
2. Where do I get the detailed procedure to find GCD of 987, 948, 97, 779?
You can find a detailed procedure to find GCD of 987, 948, 97, 779 on our page.
3. How to find GCD of 987, 948, 97, 779 on a calculator?
You can find the GCD of 987, 948, 97, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.