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 547, 748, 84, 558 i.e. 1 largest integer that divides all the numbers equally.
GCD of 547, 748, 84, 558 is 1
GCD(547, 748, 84, 558) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 547, 748, 84, 558 is 1
GCD(547, 748, 84, 558) = 1
Given Input numbers are 547, 748, 84, 558
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 547
List of positive integer divisors of 547 that divides 547 without a remainder.
1, 547
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 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Greatest Common Divisior
We found the divisors of 547, 748, 84, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 547, 748, 84, 558 is 1.
Therefore, GCD of numbers 547, 748, 84, 558 is 1
Given Input Data is 547, 748, 84, 558
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 547 is 547
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 558 is 2 x 3 x 3 x 31
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(547, 748) = 409156
GCD(547, 748) = ( 547 x 748 ) / 409156
GCD(547, 748) = 409156 / 409156
GCD(547, 748) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
GCD(1, 84) = 84 / 84
GCD(1, 84) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 558
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 558) = 558
GCD(1, 558) = ( 1 x 558 ) / 558
GCD(1, 558) = 558 / 558
GCD(1, 558) = 1
GCD of 547, 748, 84, 558 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 547, 748, 84, 558?
GCD of 547, 748, 84, 558 is 1
2. Where do I get the detailed procedure to find GCD of 547, 748, 84, 558?
You can find a detailed procedure to find GCD of 547, 748, 84, 558 on our page.
3. How to find GCD of 547, 748, 84, 558 on a calculator?
You can find the GCD of 547, 748, 84, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.