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 563, 472, 102, 674 i.e. 1 largest integer that divides all the numbers equally.
GCD of 563, 472, 102, 674 is 1
GCD(563, 472, 102, 674) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 563, 472, 102, 674 is 1
GCD(563, 472, 102, 674) = 1
Given Input numbers are 563, 472, 102, 674
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Greatest Common Divisior
We found the divisors of 563, 472, 102, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 472, 102, 674 is 1.
Therefore, GCD of numbers 563, 472, 102, 674 is 1
Given Input Data is 563, 472, 102, 674
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 563 is 563
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 674 is 2 x 337
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(563, 472) = 265736
GCD(563, 472) = ( 563 x 472 ) / 265736
GCD(563, 472) = 265736 / 265736
GCD(563, 472) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 102
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 102) = 102
GCD(1, 102) = ( 1 x 102 ) / 102
GCD(1, 102) = 102 / 102
GCD(1, 102) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 674
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 674) = 674
GCD(1, 674) = ( 1 x 674 ) / 674
GCD(1, 674) = 674 / 674
GCD(1, 674) = 1
GCD of 563, 472, 102, 674 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 563, 472, 102, 674?
GCD of 563, 472, 102, 674 is 1
2. Where do I get the detailed procedure to find GCD of 563, 472, 102, 674?
You can find a detailed procedure to find GCD of 563, 472, 102, 674 on our page.
3. How to find GCD of 563, 472, 102, 674 on a calculator?
You can find the GCD of 563, 472, 102, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.