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 792, 548, 35, 857 i.e. 1 largest integer that divides all the numbers equally.
GCD of 792, 548, 35, 857 is 1
GCD(792, 548, 35, 857) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 548, 35, 857 is 1
GCD(792, 548, 35, 857) = 1
Given Input numbers are 792, 548, 35, 857
To find the GCD of numbers using factoring list out all the divisors of each number
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 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Greatest Common Divisior
We found the divisors of 792, 548, 35, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 548, 35, 857 is 1.
Therefore, GCD of numbers 792, 548, 35, 857 is 1
Given Input Data is 792, 548, 35, 857
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 35 is 5 x 7
Prime Factorization of 857 is 857
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(792, 548) = 108504
GCD(792, 548) = ( 792 x 548 ) / 108504
GCD(792, 548) = 434016 / 108504
GCD(792, 548) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 35) = 140
GCD(4, 35) = ( 4 x 35 ) / 140
GCD(4, 35) = 140 / 140
GCD(4, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 857
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 857) = 857
GCD(1, 857) = ( 1 x 857 ) / 857
GCD(1, 857) = 857 / 857
GCD(1, 857) = 1
GCD of 792, 548, 35, 857 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 548, 35, 857?
GCD of 792, 548, 35, 857 is 1
2. Where do I get the detailed procedure to find GCD of 792, 548, 35, 857?
You can find a detailed procedure to find GCD of 792, 548, 35, 857 on our page.
3. How to find GCD of 792, 548, 35, 857 on a calculator?
You can find the GCD of 792, 548, 35, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.