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 719, 120, 36, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 719, 120, 36, 707 is 1
GCD(719, 120, 36, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 719, 120, 36, 707 is 1
GCD(719, 120, 36, 707) = 1
Given Input numbers are 719, 120, 36, 707
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 719
List of positive integer divisors of 719 that divides 719 without a remainder.
1, 719
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 719, 120, 36, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 719, 120, 36, 707 is 1.
Therefore, GCD of numbers 719, 120, 36, 707 is 1
Given Input Data is 719, 120, 36, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 719 is 719
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 707 is 7 x 101
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(719, 120) = 86280
GCD(719, 120) = ( 719 x 120 ) / 86280
GCD(719, 120) = 86280 / 86280
GCD(719, 120) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
GCD(1, 707) = 707 / 707
GCD(1, 707) = 1
GCD of 719, 120, 36, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 719, 120, 36, 707?
GCD of 719, 120, 36, 707 is 1
2. Where do I get the detailed procedure to find GCD of 719, 120, 36, 707?
You can find a detailed procedure to find GCD of 719, 120, 36, 707 on our page.
3. How to find GCD of 719, 120, 36, 707 on a calculator?
You can find the GCD of 719, 120, 36, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.