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, 508, 176, 400 i.e. 1 largest integer that divides all the numbers equally.
GCD of 847, 508, 176, 400 is 1
GCD(847, 508, 176, 400) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 847, 508, 176, 400 is 1
GCD(847, 508, 176, 400) = 1
Given Input numbers are 847, 508, 176, 400
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 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Greatest Common Divisior
We found the divisors of 847, 508, 176, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 847, 508, 176, 400 is 1.
Therefore, GCD of numbers 847, 508, 176, 400 is 1
Given Input Data is 847, 508, 176, 400
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 508 is 2 x 2 x 127
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
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, 508) = 430276
GCD(847, 508) = ( 847 x 508 ) / 430276
GCD(847, 508) = 430276 / 430276
GCD(847, 508) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 176
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 176) = 176
GCD(1, 176) = ( 1 x 176 ) / 176
GCD(1, 176) = 176 / 176
GCD(1, 176) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
GCD(1, 400) = 400 / 400
GCD(1, 400) = 1
GCD of 847, 508, 176, 400 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 847, 508, 176, 400?
GCD of 847, 508, 176, 400 is 1
2. Where do I get the detailed procedure to find GCD of 847, 508, 176, 400?
You can find a detailed procedure to find GCD of 847, 508, 176, 400 on our page.
3. How to find GCD of 847, 508, 176, 400 on a calculator?
You can find the GCD of 847, 508, 176, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.