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 709, 637, 99, 529 i.e. 1 largest integer that divides all the numbers equally.
GCD of 709, 637, 99, 529 is 1
GCD(709, 637, 99, 529) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 709, 637, 99, 529 is 1
GCD(709, 637, 99, 529) = 1
Given Input numbers are 709, 637, 99, 529
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Greatest Common Divisior
We found the divisors of 709, 637, 99, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 637, 99, 529 is 1.
Therefore, GCD of numbers 709, 637, 99, 529 is 1
Given Input Data is 709, 637, 99, 529
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 709 is 709
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 529 is 23 x 23
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(709, 637) = 451633
GCD(709, 637) = ( 709 x 637 ) / 451633
GCD(709, 637) = 451633 / 451633
GCD(709, 637) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 529
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 529) = 529
GCD(1, 529) = ( 1 x 529 ) / 529
GCD(1, 529) = 529 / 529
GCD(1, 529) = 1
GCD of 709, 637, 99, 529 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 709, 637, 99, 529?
GCD of 709, 637, 99, 529 is 1
2. Where do I get the detailed procedure to find GCD of 709, 637, 99, 529?
You can find a detailed procedure to find GCD of 709, 637, 99, 529 on our page.
3. How to find GCD of 709, 637, 99, 529 on a calculator?
You can find the GCD of 709, 637, 99, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.