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 704, 613, 760, 637 i.e. 1 largest integer that divides all the numbers equally.
GCD of 704, 613, 760, 637 is 1
GCD(704, 613, 760, 637) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 704, 613, 760, 637 is 1
GCD(704, 613, 760, 637) = 1
Given Input numbers are 704, 613, 760, 637
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Greatest Common Divisior
We found the divisors of 704, 613, 760, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 613, 760, 637 is 1.
Therefore, GCD of numbers 704, 613, 760, 637 is 1
Given Input Data is 704, 613, 760, 637
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 613 is 613
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 637 is 7 x 7 x 13
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(704, 613) = 431552
GCD(704, 613) = ( 704 x 613 ) / 431552
GCD(704, 613) = 431552 / 431552
GCD(704, 613) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
GCD(1, 760) = 760 / 760
GCD(1, 760) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 637
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 637) = 637
GCD(1, 637) = ( 1 x 637 ) / 637
GCD(1, 637) = 637 / 637
GCD(1, 637) = 1
GCD of 704, 613, 760, 637 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 704, 613, 760, 637?
GCD of 704, 613, 760, 637 is 1
2. Where do I get the detailed procedure to find GCD of 704, 613, 760, 637?
You can find a detailed procedure to find GCD of 704, 613, 760, 637 on our page.
3. How to find GCD of 704, 613, 760, 637 on a calculator?
You can find the GCD of 704, 613, 760, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.