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 566, 942, 996, 747 i.e. 1 largest integer that divides all the numbers equally.
GCD of 566, 942, 996, 747 is 1
GCD(566, 942, 996, 747) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 566, 942, 996, 747 is 1
GCD(566, 942, 996, 747) = 1
Given Input numbers are 566, 942, 996, 747
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Greatest Common Divisior
We found the divisors of 566, 942, 996, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 942, 996, 747 is 1.
Therefore, GCD of numbers 566, 942, 996, 747 is 1
Given Input Data is 566, 942, 996, 747
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 566 is 2 x 283
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 747 is 3 x 3 x 83
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(566, 942) = 266586
GCD(566, 942) = ( 566 x 942 ) / 266586
GCD(566, 942) = 533172 / 266586
GCD(566, 942) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 996) = 996
GCD(2, 996) = ( 2 x 996 ) / 996
GCD(2, 996) = 1992 / 996
GCD(2, 996) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 747) = 1494
GCD(2, 747) = ( 2 x 747 ) / 1494
GCD(2, 747) = 1494 / 1494
GCD(2, 747) = 1
GCD of 566, 942, 996, 747 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 566, 942, 996, 747?
GCD of 566, 942, 996, 747 is 1
2. Where do I get the detailed procedure to find GCD of 566, 942, 996, 747?
You can find a detailed procedure to find GCD of 566, 942, 996, 747 on our page.
3. How to find GCD of 566, 942, 996, 747 on a calculator?
You can find the GCD of 566, 942, 996, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.