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, 912, 67, 118 i.e. 1 largest integer that divides all the numbers equally.
GCD of 563, 912, 67, 118 is 1
GCD(563, 912, 67, 118) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 563, 912, 67, 118 is 1
GCD(563, 912, 67, 118) = 1
Given Input numbers are 563, 912, 67, 118
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 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Greatest Common Divisior
We found the divisors of 563, 912, 67, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 912, 67, 118 is 1.
Therefore, GCD of numbers 563, 912, 67, 118 is 1
Given Input Data is 563, 912, 67, 118
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 563 is 563
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 67 is 67
Prime Factorization of 118 is 2 x 59
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, 912) = 513456
GCD(563, 912) = ( 563 x 912 ) / 513456
GCD(563, 912) = 513456 / 513456
GCD(563, 912) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 118
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 118) = 118
GCD(1, 118) = ( 1 x 118 ) / 118
GCD(1, 118) = 118 / 118
GCD(1, 118) = 1
GCD of 563, 912, 67, 118 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 563, 912, 67, 118?
GCD of 563, 912, 67, 118 is 1
2. Where do I get the detailed procedure to find GCD of 563, 912, 67, 118?
You can find a detailed procedure to find GCD of 563, 912, 67, 118 on our page.
3. How to find GCD of 563, 912, 67, 118 on a calculator?
You can find the GCD of 563, 912, 67, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.