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 210, 240, 79, 792 i.e. 1 largest integer that divides all the numbers equally.
GCD of 210, 240, 79, 792 is 1
GCD(210, 240, 79, 792) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 210, 240, 79, 792 is 1
GCD(210, 240, 79, 792) = 1
Given Input numbers are 210, 240, 79, 792
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Greatest Common Divisior
We found the divisors of 210, 240, 79, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 240, 79, 792 is 1.
Therefore, GCD of numbers 210, 240, 79, 792 is 1
Given Input Data is 210, 240, 79, 792
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 79 is 79
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
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(210, 240) = 1680
GCD(210, 240) = ( 210 x 240 ) / 1680
GCD(210, 240) = 50400 / 1680
GCD(210, 240) = 30
Step2:
Here we consider the GCD from the above i.e. 30 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(30, 79) = 2370
GCD(30, 79) = ( 30 x 79 ) / 2370
GCD(30, 79) = 2370 / 2370
GCD(30, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 792
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 792) = 792
GCD(1, 792) = ( 1 x 792 ) / 792
GCD(1, 792) = 792 / 792
GCD(1, 792) = 1
GCD of 210, 240, 79, 792 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 210, 240, 79, 792?
GCD of 210, 240, 79, 792 is 1
2. Where do I get the detailed procedure to find GCD of 210, 240, 79, 792?
You can find a detailed procedure to find GCD of 210, 240, 79, 792 on our page.
3. How to find GCD of 210, 240, 79, 792 on a calculator?
You can find the GCD of 210, 240, 79, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.