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 847, 848, 442, 175 i.e. 1 largest integer that divides all the numbers equally.
GCD of 847, 848, 442, 175 is 1
GCD(847, 848, 442, 175) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 847, 848, 442, 175 is 1
GCD(847, 848, 442, 175) = 1
Given Input numbers are 847, 848, 442, 175
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Greatest Common Divisior
We found the divisors of 847, 848, 442, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 847, 848, 442, 175 is 1.
Therefore, GCD of numbers 847, 848, 442, 175 is 1
Given Input Data is 847, 848, 442, 175
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 847 is 7 x 11 x 11
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 175 is 5 x 5 x 7
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(847, 848) = 718256
GCD(847, 848) = ( 847 x 848 ) / 718256
GCD(847, 848) = 718256 / 718256
GCD(847, 848) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
GCD(1, 442) = 442 / 442
GCD(1, 442) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 175
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
GCD(1, 175) = 175 / 175
GCD(1, 175) = 1
GCD of 847, 848, 442, 175 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 847, 848, 442, 175?
GCD of 847, 848, 442, 175 is 1
2. Where do I get the detailed procedure to find GCD of 847, 848, 442, 175?
You can find a detailed procedure to find GCD of 847, 848, 442, 175 on our page.
3. How to find GCD of 847, 848, 442, 175 on a calculator?
You can find the GCD of 847, 848, 442, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.