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 104, 792, 402, 739 i.e. 1 largest integer that divides all the numbers equally.
GCD of 104, 792, 402, 739 is 1
GCD(104, 792, 402, 739) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 104, 792, 402, 739 is 1
GCD(104, 792, 402, 739) = 1
Given Input numbers are 104, 792, 402, 739
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
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 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Greatest Common Divisior
We found the divisors of 104, 792, 402, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 792, 402, 739 is 1.
Therefore, GCD of numbers 104, 792, 402, 739 is 1
Given Input Data is 104, 792, 402, 739
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 739 is 739
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(104, 792) = 10296
GCD(104, 792) = ( 104 x 792 ) / 10296
GCD(104, 792) = 82368 / 10296
GCD(104, 792) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 402) = 1608
GCD(8, 402) = ( 8 x 402 ) / 1608
GCD(8, 402) = 3216 / 1608
GCD(8, 402) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 739
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 739) = 1478
GCD(2, 739) = ( 2 x 739 ) / 1478
GCD(2, 739) = 1478 / 1478
GCD(2, 739) = 1
GCD of 104, 792, 402, 739 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 104, 792, 402, 739?
GCD of 104, 792, 402, 739 is 1
2. Where do I get the detailed procedure to find GCD of 104, 792, 402, 739?
You can find a detailed procedure to find GCD of 104, 792, 402, 739 on our page.
3. How to find GCD of 104, 792, 402, 739 on a calculator?
You can find the GCD of 104, 792, 402, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.