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 720, 179, 757, 698 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 179, 757, 698 is 1
GCD(720, 179, 757, 698) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 179, 757, 698 is 1
GCD(720, 179, 757, 698) = 1
Given Input numbers are 720, 179, 757, 698
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Greatest Common Divisior
We found the divisors of 720, 179, 757, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 179, 757, 698 is 1.
Therefore, GCD of numbers 720, 179, 757, 698 is 1
Given Input Data is 720, 179, 757, 698
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 179 is 179
Prime Factorization of 757 is 757
Prime Factorization of 698 is 2 x 349
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(720, 179) = 128880
GCD(720, 179) = ( 720 x 179 ) / 128880
GCD(720, 179) = 128880 / 128880
GCD(720, 179) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 757) = 757
GCD(1, 757) = ( 1 x 757 ) / 757
GCD(1, 757) = 757 / 757
GCD(1, 757) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 698
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
GCD(1, 698) = 698 / 698
GCD(1, 698) = 1
GCD of 720, 179, 757, 698 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 179, 757, 698?
GCD of 720, 179, 757, 698 is 1
2. Where do I get the detailed procedure to find GCD of 720, 179, 757, 698?
You can find a detailed procedure to find GCD of 720, 179, 757, 698 on our page.
3. How to find GCD of 720, 179, 757, 698 on a calculator?
You can find the GCD of 720, 179, 757, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.