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 77, 441, 759, 792 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 441, 759, 792 is 1
GCD(77, 441, 759, 792) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 441, 759, 792 is 1
GCD(77, 441, 759, 792) = 1
Given Input numbers are 77, 441, 759, 792
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
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 77, 441, 759, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 441, 759, 792 is 1.
Therefore, GCD of numbers 77, 441, 759, 792 is 1
Given Input Data is 77, 441, 759, 792
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 759 is 3 x 11 x 23
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(77, 441) = 4851
GCD(77, 441) = ( 77 x 441 ) / 4851
GCD(77, 441) = 33957 / 4851
GCD(77, 441) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 759
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 759) = 5313
GCD(7, 759) = ( 7 x 759 ) / 5313
GCD(7, 759) = 5313 / 5313
GCD(7, 759) = 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 77, 441, 759, 792 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 441, 759, 792?
GCD of 77, 441, 759, 792 is 1
2. Where do I get the detailed procedure to find GCD of 77, 441, 759, 792?
You can find a detailed procedure to find GCD of 77, 441, 759, 792 on our page.
3. How to find GCD of 77, 441, 759, 792 on a calculator?
You can find the GCD of 77, 441, 759, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.