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 979, 744, 272, 101 i.e. 1 largest integer that divides all the numbers equally.
GCD of 979, 744, 272, 101 is 1
GCD(979, 744, 272, 101) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 979, 744, 272, 101 is 1
GCD(979, 744, 272, 101) = 1
Given Input numbers are 979, 744, 272, 101
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Greatest Common Divisior
We found the divisors of 979, 744, 272, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 744, 272, 101 is 1.
Therefore, GCD of numbers 979, 744, 272, 101 is 1
Given Input Data is 979, 744, 272, 101
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 979 is 11 x 89
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 101 is 101
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(979, 744) = 728376
GCD(979, 744) = ( 979 x 744 ) / 728376
GCD(979, 744) = 728376 / 728376
GCD(979, 744) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
GCD(1, 272) = 272 / 272
GCD(1, 272) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 101) = 101
GCD(1, 101) = ( 1 x 101 ) / 101
GCD(1, 101) = 101 / 101
GCD(1, 101) = 1
GCD of 979, 744, 272, 101 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 979, 744, 272, 101?
GCD of 979, 744, 272, 101 is 1
2. Where do I get the detailed procedure to find GCD of 979, 744, 272, 101?
You can find a detailed procedure to find GCD of 979, 744, 272, 101 on our page.
3. How to find GCD of 979, 744, 272, 101 on a calculator?
You can find the GCD of 979, 744, 272, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.