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 79, 780, 144, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 79, 780, 144, 357 is 1
GCD(79, 780, 144, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 79, 780, 144, 357 is 1
GCD(79, 780, 144, 357) = 1
Given Input numbers are 79, 780, 144, 357
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 79, 780, 144, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 79, 780, 144, 357 is 1.
Therefore, GCD of numbers 79, 780, 144, 357 is 1
Given Input Data is 79, 780, 144, 357
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 79 is 79
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 357 is 3 x 7 x 17
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(79, 780) = 61620
GCD(79, 780) = ( 79 x 780 ) / 61620
GCD(79, 780) = 61620 / 61620
GCD(79, 780) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
GCD of 79, 780, 144, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 79, 780, 144, 357?
GCD of 79, 780, 144, 357 is 1
2. Where do I get the detailed procedure to find GCD of 79, 780, 144, 357?
You can find a detailed procedure to find GCD of 79, 780, 144, 357 on our page.
3. How to find GCD of 79, 780, 144, 357 on a calculator?
You can find the GCD of 79, 780, 144, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.