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, 896, 46, 167 i.e. 1 largest integer that divides all the numbers equally.
GCD of 847, 896, 46, 167 is 1
GCD(847, 896, 46, 167) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 847, 896, 46, 167 is 1
GCD(847, 896, 46, 167) = 1
Given Input numbers are 847, 896, 46, 167
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 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Greatest Common Divisior
We found the divisors of 847, 896, 46, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 847, 896, 46, 167 is 1.
Therefore, GCD of numbers 847, 896, 46, 167 is 1
Given Input Data is 847, 896, 46, 167
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 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 46 is 2 x 23
Prime Factorization of 167 is 167
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, 896) = 108416
GCD(847, 896) = ( 847 x 896 ) / 108416
GCD(847, 896) = 758912 / 108416
GCD(847, 896) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 46) = 322
GCD(7, 46) = ( 7 x 46 ) / 322
GCD(7, 46) = 322 / 322
GCD(7, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 167) = 167
GCD(1, 167) = ( 1 x 167 ) / 167
GCD(1, 167) = 167 / 167
GCD(1, 167) = 1
GCD of 847, 896, 46, 167 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 847, 896, 46, 167?
GCD of 847, 896, 46, 167 is 1
2. Where do I get the detailed procedure to find GCD of 847, 896, 46, 167?
You can find a detailed procedure to find GCD of 847, 896, 46, 167 on our page.
3. How to find GCD of 847, 896, 46, 167 on a calculator?
You can find the GCD of 847, 896, 46, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.