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 748, 301, 941, 868 i.e. 1 largest integer that divides all the numbers equally.
GCD of 748, 301, 941, 868 is 1
GCD(748, 301, 941, 868) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 301, 941, 868 is 1
GCD(748, 301, 941, 868) = 1
Given Input numbers are 748, 301, 941, 868
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Divisors of 941
List of positive integer divisors of 941 that divides 941 without a remainder.
1, 941
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Greatest Common Divisior
We found the divisors of 748, 301, 941, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 301, 941, 868 is 1.
Therefore, GCD of numbers 748, 301, 941, 868 is 1
Given Input Data is 748, 301, 941, 868
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 301 is 7 x 43
Prime Factorization of 941 is 941
Prime Factorization of 868 is 2 x 2 x 7 x 31
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(748, 301) = 225148
GCD(748, 301) = ( 748 x 301 ) / 225148
GCD(748, 301) = 225148 / 225148
GCD(748, 301) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 941
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 941) = 941
GCD(1, 941) = ( 1 x 941 ) / 941
GCD(1, 941) = 941 / 941
GCD(1, 941) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 868
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 868) = 868
GCD(1, 868) = ( 1 x 868 ) / 868
GCD(1, 868) = 868 / 868
GCD(1, 868) = 1
GCD of 748, 301, 941, 868 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 748, 301, 941, 868?
GCD of 748, 301, 941, 868 is 1
2. Where do I get the detailed procedure to find GCD of 748, 301, 941, 868?
You can find a detailed procedure to find GCD of 748, 301, 941, 868 on our page.
3. How to find GCD of 748, 301, 941, 868 on a calculator?
You can find the GCD of 748, 301, 941, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.