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 296, 540, 79, 980 i.e. 1 largest integer that divides all the numbers equally.
GCD of 296, 540, 79, 980 is 1
GCD(296, 540, 79, 980) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 296, 540, 79, 980 is 1
GCD(296, 540, 79, 980) = 1
Given Input numbers are 296, 540, 79, 980
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
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
Greatest Common Divisior
We found the divisors of 296, 540, 79, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 540, 79, 980 is 1.
Therefore, GCD of numbers 296, 540, 79, 980 is 1
Given Input Data is 296, 540, 79, 980
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 79 is 79
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
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(296, 540) = 39960
GCD(296, 540) = ( 296 x 540 ) / 39960
GCD(296, 540) = 159840 / 39960
GCD(296, 540) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 79) = 316
GCD(4, 79) = ( 4 x 79 ) / 316
GCD(4, 79) = 316 / 316
GCD(4, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 980
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
GCD(1, 980) = 980 / 980
GCD(1, 980) = 1
GCD of 296, 540, 79, 980 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 296, 540, 79, 980?
GCD of 296, 540, 79, 980 is 1
2. Where do I get the detailed procedure to find GCD of 296, 540, 79, 980?
You can find a detailed procedure to find GCD of 296, 540, 79, 980 on our page.
3. How to find GCD of 296, 540, 79, 980 on a calculator?
You can find the GCD of 296, 540, 79, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.