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 65, 402, 792, 769 i.e. 1 largest integer that divides all the numbers equally.
GCD of 65, 402, 792, 769 is 1
GCD(65, 402, 792, 769) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 402, 792, 769 is 1
GCD(65, 402, 792, 769) = 1
Given Input numbers are 65, 402, 792, 769
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
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
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Greatest Common Divisior
We found the divisors of 65, 402, 792, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 402, 792, 769 is 1.
Therefore, GCD of numbers 65, 402, 792, 769 is 1
Given Input Data is 65, 402, 792, 769
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 769 is 769
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(65, 402) = 26130
GCD(65, 402) = ( 65 x 402 ) / 26130
GCD(65, 402) = 26130 / 26130
GCD(65, 402) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 769
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 769) = 769
GCD(1, 769) = ( 1 x 769 ) / 769
GCD(1, 769) = 769 / 769
GCD(1, 769) = 1
GCD of 65, 402, 792, 769 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 65, 402, 792, 769?
GCD of 65, 402, 792, 769 is 1
2. Where do I get the detailed procedure to find GCD of 65, 402, 792, 769?
You can find a detailed procedure to find GCD of 65, 402, 792, 769 on our page.
3. How to find GCD of 65, 402, 792, 769 on a calculator?
You can find the GCD of 65, 402, 792, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.