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 262, 196, 39, 792 i.e. 1 largest integer that divides all the numbers equally.
GCD of 262, 196, 39, 792 is 1
GCD(262, 196, 39, 792) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 262, 196, 39, 792 is 1
GCD(262, 196, 39, 792) = 1
Given Input numbers are 262, 196, 39, 792
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
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 262, 196, 39, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 196, 39, 792 is 1.
Therefore, GCD of numbers 262, 196, 39, 792 is 1
Given Input Data is 262, 196, 39, 792
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 262 is 2 x 131
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 39 is 3 x 13
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(262, 196) = 25676
GCD(262, 196) = ( 262 x 196 ) / 25676
GCD(262, 196) = 51352 / 25676
GCD(262, 196) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 39) = 78
GCD(2, 39) = ( 2 x 39 ) / 78
GCD(2, 39) = 78 / 78
GCD(2, 39) = 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 262, 196, 39, 792 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 262, 196, 39, 792?
GCD of 262, 196, 39, 792 is 1
2. Where do I get the detailed procedure to find GCD of 262, 196, 39, 792?
You can find a detailed procedure to find GCD of 262, 196, 39, 792 on our page.
3. How to find GCD of 262, 196, 39, 792 on a calculator?
You can find the GCD of 262, 196, 39, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.