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 564, 703, 31, 701 i.e. 1 largest integer that divides all the numbers equally.
GCD of 564, 703, 31, 701 is 1
GCD(564, 703, 31, 701) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 564, 703, 31, 701 is 1
GCD(564, 703, 31, 701) = 1
Given Input numbers are 564, 703, 31, 701
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Greatest Common Divisior
We found the divisors of 564, 703, 31, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 703, 31, 701 is 1.
Therefore, GCD of numbers 564, 703, 31, 701 is 1
Given Input Data is 564, 703, 31, 701
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 703 is 19 x 37
Prime Factorization of 31 is 31
Prime Factorization of 701 is 701
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(564, 703) = 396492
GCD(564, 703) = ( 564 x 703 ) / 396492
GCD(564, 703) = 396492 / 396492
GCD(564, 703) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 701) = 701
GCD(1, 701) = ( 1 x 701 ) / 701
GCD(1, 701) = 701 / 701
GCD(1, 701) = 1
GCD of 564, 703, 31, 701 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 564, 703, 31, 701?
GCD of 564, 703, 31, 701 is 1
2. Where do I get the detailed procedure to find GCD of 564, 703, 31, 701?
You can find a detailed procedure to find GCD of 564, 703, 31, 701 on our page.
3. How to find GCD of 564, 703, 31, 701 on a calculator?
You can find the GCD of 564, 703, 31, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.