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, 865, 276, 625 i.e. 1 largest integer that divides all the numbers equally.
GCD of 748, 865, 276, 625 is 1
GCD(748, 865, 276, 625) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 865, 276, 625 is 1
GCD(748, 865, 276, 625) = 1
Given Input numbers are 748, 865, 276, 625
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 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Greatest Common Divisior
We found the divisors of 748, 865, 276, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 865, 276, 625 is 1.
Therefore, GCD of numbers 748, 865, 276, 625 is 1
Given Input Data is 748, 865, 276, 625
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 865 is 5 x 173
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 625 is 5 x 5 x 5 x 5
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, 865) = 647020
GCD(748, 865) = ( 748 x 865 ) / 647020
GCD(748, 865) = 647020 / 647020
GCD(748, 865) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 276
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 276) = 276
GCD(1, 276) = ( 1 x 276 ) / 276
GCD(1, 276) = 276 / 276
GCD(1, 276) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 625
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 625) = 625
GCD(1, 625) = ( 1 x 625 ) / 625
GCD(1, 625) = 625 / 625
GCD(1, 625) = 1
GCD of 748, 865, 276, 625 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 748, 865, 276, 625?
GCD of 748, 865, 276, 625 is 1
2. Where do I get the detailed procedure to find GCD of 748, 865, 276, 625?
You can find a detailed procedure to find GCD of 748, 865, 276, 625 on our page.
3. How to find GCD of 748, 865, 276, 625 on a calculator?
You can find the GCD of 748, 865, 276, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.