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 865, 550, 652, 748 i.e. 1 largest integer that divides all the numbers equally.
GCD of 865, 550, 652, 748 is 1
GCD(865, 550, 652, 748) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 865, 550, 652, 748 is 1
GCD(865, 550, 652, 748) = 1
Given Input numbers are 865, 550, 652, 748
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
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
Greatest Common Divisior
We found the divisors of 865, 550, 652, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 550, 652, 748 is 1.
Therefore, GCD of numbers 865, 550, 652, 748 is 1
Given Input Data is 865, 550, 652, 748
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 865 is 5 x 173
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 748 is 2 x 2 x 11 x 17
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(865, 550) = 95150
GCD(865, 550) = ( 865 x 550 ) / 95150
GCD(865, 550) = 475750 / 95150
GCD(865, 550) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 652) = 3260
GCD(5, 652) = ( 5 x 652 ) / 3260
GCD(5, 652) = 3260 / 3260
GCD(5, 652) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
GCD(1, 748) = 748 / 748
GCD(1, 748) = 1
GCD of 865, 550, 652, 748 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 865, 550, 652, 748?
GCD of 865, 550, 652, 748 is 1
2. Where do I get the detailed procedure to find GCD of 865, 550, 652, 748?
You can find a detailed procedure to find GCD of 865, 550, 652, 748 on our page.
3. How to find GCD of 865, 550, 652, 748 on a calculator?
You can find the GCD of 865, 550, 652, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.