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 548, 748, 291, 604 i.e. 1 largest integer that divides all the numbers equally.
GCD of 548, 748, 291, 604 is 1
GCD(548, 748, 291, 604) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 548, 748, 291, 604 is 1
GCD(548, 748, 291, 604) = 1
Given Input numbers are 548, 748, 291, 604
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
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 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Greatest Common Divisior
We found the divisors of 548, 748, 291, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 748, 291, 604 is 1.
Therefore, GCD of numbers 548, 748, 291, 604 is 1
Given Input Data is 548, 748, 291, 604
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 291 is 3 x 97
Prime Factorization of 604 is 2 x 2 x 151
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(548, 748) = 102476
GCD(548, 748) = ( 548 x 748 ) / 102476
GCD(548, 748) = 409904 / 102476
GCD(548, 748) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 291) = 1164
GCD(4, 291) = ( 4 x 291 ) / 1164
GCD(4, 291) = 1164 / 1164
GCD(4, 291) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 604) = 604
GCD(1, 604) = ( 1 x 604 ) / 604
GCD(1, 604) = 604 / 604
GCD(1, 604) = 1
GCD of 548, 748, 291, 604 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 548, 748, 291, 604?
GCD of 548, 748, 291, 604 is 1
2. Where do I get the detailed procedure to find GCD of 548, 748, 291, 604?
You can find a detailed procedure to find GCD of 548, 748, 291, 604 on our page.
3. How to find GCD of 548, 748, 291, 604 on a calculator?
You can find the GCD of 548, 748, 291, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.