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 124, 748, 548, 847 i.e. 1 largest integer that divides all the numbers equally.
GCD of 124, 748, 548, 847 is 1
GCD(124, 748, 548, 847) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 124, 748, 548, 847 is 1
GCD(124, 748, 548, 847) = 1
Given Input numbers are 124, 748, 548, 847
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
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 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Greatest Common Divisior
We found the divisors of 124, 748, 548, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 748, 548, 847 is 1.
Therefore, GCD of numbers 124, 748, 548, 847 is 1
Given Input Data is 124, 748, 548, 847
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 847 is 7 x 11 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(124, 748) = 23188
GCD(124, 748) = ( 124 x 748 ) / 23188
GCD(124, 748) = 92752 / 23188
GCD(124, 748) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 548
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 548) = 548
GCD(4, 548) = ( 4 x 548 ) / 548
GCD(4, 548) = 2192 / 548
GCD(4, 548) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 847
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 847) = 3388
GCD(4, 847) = ( 4 x 847 ) / 3388
GCD(4, 847) = 3388 / 3388
GCD(4, 847) = 1
GCD of 124, 748, 548, 847 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 124, 748, 548, 847?
GCD of 124, 748, 548, 847 is 1
2. Where do I get the detailed procedure to find GCD of 124, 748, 548, 847?
You can find a detailed procedure to find GCD of 124, 748, 548, 847 on our page.
3. How to find GCD of 124, 748, 548, 847 on a calculator?
You can find the GCD of 124, 748, 548, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.