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 968, 300, 49 i.e. 1 largest integer that divides all the numbers equally.
GCD of 968, 300, 49 is 1
GCD(968, 300, 49) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 968, 300, 49 is 1
GCD(968, 300, 49) = 1
Given Input numbers are 968, 300, 49
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Greatest Common Divisior
We found the divisors of 968, 300, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 300, 49 is 1.
Therefore, GCD of numbers 968, 300, 49 is 1
Given Input Data is 968, 300, 49
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 49 is 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(968, 300) = 72600
GCD(968, 300) = ( 968 x 300 ) / 72600
GCD(968, 300) = 290400 / 72600
GCD(968, 300) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 49) = 196
GCD(4, 49) = ( 4 x 49 ) / 196
GCD(4, 49) = 196 / 196
GCD(4, 49) = 1
GCD of 968, 300, 49 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 968, 300, 49?
GCD of 968, 300, 49 is 1
2. Where do I get the detailed procedure to find GCD of 968, 300, 49?
You can find a detailed procedure to find GCD of 968, 300, 49 on our page.
3. How to find GCD of 968, 300, 49 on a calculator?
You can find the GCD of 968, 300, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.