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 846, 788, 48, 275 i.e. 1 largest integer that divides all the numbers equally.
GCD of 846, 788, 48, 275 is 1
GCD(846, 788, 48, 275) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 846, 788, 48, 275 is 1
GCD(846, 788, 48, 275) = 1
Given Input numbers are 846, 788, 48, 275
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Greatest Common Divisior
We found the divisors of 846, 788, 48, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 788, 48, 275 is 1.
Therefore, GCD of numbers 846, 788, 48, 275 is 1
Given Input Data is 846, 788, 48, 275
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 275 is 5 x 5 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(846, 788) = 333324
GCD(846, 788) = ( 846 x 788 ) / 333324
GCD(846, 788) = 666648 / 333324
GCD(846, 788) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 48) = 48
GCD(2, 48) = ( 2 x 48 ) / 48
GCD(2, 48) = 96 / 48
GCD(2, 48) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 275
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 275) = 550
GCD(2, 275) = ( 2 x 275 ) / 550
GCD(2, 275) = 550 / 550
GCD(2, 275) = 1
GCD of 846, 788, 48, 275 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 846, 788, 48, 275?
GCD of 846, 788, 48, 275 is 1
2. Where do I get the detailed procedure to find GCD of 846, 788, 48, 275?
You can find a detailed procedure to find GCD of 846, 788, 48, 275 on our page.
3. How to find GCD of 846, 788, 48, 275 on a calculator?
You can find the GCD of 846, 788, 48, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.