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 746, 989, 563 i.e. 1 largest integer that divides all the numbers equally.
GCD of 746, 989, 563 is 1
GCD(746, 989, 563) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 746, 989, 563 is 1
GCD(746, 989, 563) = 1
Given Input numbers are 746, 989, 563
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Greatest Common Divisior
We found the divisors of 746, 989, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 989, 563 is 1.
Therefore, GCD of numbers 746, 989, 563 is 1
Given Input Data is 746, 989, 563
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 746 is 2 x 373
Prime Factorization of 989 is 23 x 43
Prime Factorization of 563 is 563
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(746, 989) = 737794
GCD(746, 989) = ( 746 x 989 ) / 737794
GCD(746, 989) = 737794 / 737794
GCD(746, 989) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 563
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 563) = 563
GCD(1, 563) = ( 1 x 563 ) / 563
GCD(1, 563) = 563 / 563
GCD(1, 563) = 1
GCD of 746, 989, 563 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 746, 989, 563?
GCD of 746, 989, 563 is 1
2. Where do I get the detailed procedure to find GCD of 746, 989, 563?
You can find a detailed procedure to find GCD of 746, 989, 563 on our page.
3. How to find GCD of 746, 989, 563 on a calculator?
You can find the GCD of 746, 989, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.