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 575, 769, 20, 790 i.e. 1 largest integer that divides all the numbers equally.
GCD of 575, 769, 20, 790 is 1
GCD(575, 769, 20, 790) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 575, 769, 20, 790 is 1
GCD(575, 769, 20, 790) = 1
Given Input numbers are 575, 769, 20, 790
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Greatest Common Divisior
We found the divisors of 575, 769, 20, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 575, 769, 20, 790 is 1.
Therefore, GCD of numbers 575, 769, 20, 790 is 1
Given Input Data is 575, 769, 20, 790
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 769 is 769
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 790 is 2 x 5 x 79
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(575, 769) = 442175
GCD(575, 769) = ( 575 x 769 ) / 442175
GCD(575, 769) = 442175 / 442175
GCD(575, 769) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 790
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 790) = 790
GCD(1, 790) = ( 1 x 790 ) / 790
GCD(1, 790) = 790 / 790
GCD(1, 790) = 1
GCD of 575, 769, 20, 790 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 575, 769, 20, 790?
GCD of 575, 769, 20, 790 is 1
2. Where do I get the detailed procedure to find GCD of 575, 769, 20, 790?
You can find a detailed procedure to find GCD of 575, 769, 20, 790 on our page.
3. How to find GCD of 575, 769, 20, 790 on a calculator?
You can find the GCD of 575, 769, 20, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.