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, 611, 687, 846 i.e. 1 largest integer that divides all the numbers equally.
GCD of 748, 611, 687, 846 is 1
GCD(748, 611, 687, 846) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 611, 687, 846 is 1
GCD(748, 611, 687, 846) = 1
Given Input numbers are 748, 611, 687, 846
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 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Greatest Common Divisior
We found the divisors of 748, 611, 687, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 611, 687, 846 is 1.
Therefore, GCD of numbers 748, 611, 687, 846 is 1
Given Input Data is 748, 611, 687, 846
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 611 is 13 x 47
Prime Factorization of 687 is 3 x 229
Prime Factorization of 846 is 2 x 3 x 3 x 47
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, 611) = 457028
GCD(748, 611) = ( 748 x 611 ) / 457028
GCD(748, 611) = 457028 / 457028
GCD(748, 611) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
GCD(1, 846) = 846 / 846
GCD(1, 846) = 1
GCD of 748, 611, 687, 846 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 748, 611, 687, 846?
GCD of 748, 611, 687, 846 is 1
2. Where do I get the detailed procedure to find GCD of 748, 611, 687, 846?
You can find a detailed procedure to find GCD of 748, 611, 687, 846 on our page.
3. How to find GCD of 748, 611, 687, 846 on a calculator?
You can find the GCD of 748, 611, 687, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.