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, 889, 88 i.e. 1 largest integer that divides all the numbers equally.
GCD of 748, 889, 88 is 1
GCD(748, 889, 88) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 889, 88 is 1
GCD(748, 889, 88) = 1
Given Input numbers are 748, 889, 88
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 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Greatest Common Divisior
We found the divisors of 748, 889, 88 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 889, 88 is 1.
Therefore, GCD of numbers 748, 889, 88 is 1
Given Input Data is 748, 889, 88
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 889 is 7 x 127
Prime Factorization of 88 is 2 x 2 x 2 x 11
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, 889) = 664972
GCD(748, 889) = ( 748 x 889 ) / 664972
GCD(748, 889) = 664972 / 664972
GCD(748, 889) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 88) = 88
GCD(1, 88) = ( 1 x 88 ) / 88
GCD(1, 88) = 88 / 88
GCD(1, 88) = 1
GCD of 748, 889, 88 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 748, 889, 88?
GCD of 748, 889, 88 is 1
2. Where do I get the detailed procedure to find GCD of 748, 889, 88?
You can find a detailed procedure to find GCD of 748, 889, 88 on our page.
3. How to find GCD of 748, 889, 88 on a calculator?
You can find the GCD of 748, 889, 88 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.