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 56, 710, 994, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 56, 710, 994, 731 is 1
GCD(56, 710, 994, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 56, 710, 994, 731 is 1
GCD(56, 710, 994, 731) = 1
Given Input numbers are 56, 710, 994, 731
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 56, 710, 994, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 710, 994, 731 is 1.
Therefore, GCD of numbers 56, 710, 994, 731 is 1
Given Input Data is 56, 710, 994, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 731 is 17 x 43
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(56, 710) = 19880
GCD(56, 710) = ( 56 x 710 ) / 19880
GCD(56, 710) = 39760 / 19880
GCD(56, 710) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 994
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 994) = 994
GCD(2, 994) = ( 2 x 994 ) / 994
GCD(2, 994) = 1988 / 994
GCD(2, 994) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 731) = 1462
GCD(2, 731) = ( 2 x 731 ) / 1462
GCD(2, 731) = 1462 / 1462
GCD(2, 731) = 1
GCD of 56, 710, 994, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 56, 710, 994, 731?
GCD of 56, 710, 994, 731 is 1
2. Where do I get the detailed procedure to find GCD of 56, 710, 994, 731?
You can find a detailed procedure to find GCD of 56, 710, 994, 731 on our page.
3. How to find GCD of 56, 710, 994, 731 on a calculator?
You can find the GCD of 56, 710, 994, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.