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 463, 343, 887, 274 i.e. 1 largest integer that divides all the numbers equally.
GCD of 463, 343, 887, 274 is 1
GCD(463, 343, 887, 274) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 463, 343, 887, 274 is 1
GCD(463, 343, 887, 274) = 1
Given Input numbers are 463, 343, 887, 274
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 887
List of positive integer divisors of 887 that divides 887 without a remainder.
1, 887
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Greatest Common Divisior
We found the divisors of 463, 343, 887, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 343, 887, 274 is 1.
Therefore, GCD of numbers 463, 343, 887, 274 is 1
Given Input Data is 463, 343, 887, 274
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 463 is 463
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 887 is 887
Prime Factorization of 274 is 2 x 137
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(463, 343) = 158809
GCD(463, 343) = ( 463 x 343 ) / 158809
GCD(463, 343) = 158809 / 158809
GCD(463, 343) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 887
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 887) = 887
GCD(1, 887) = ( 1 x 887 ) / 887
GCD(1, 887) = 887 / 887
GCD(1, 887) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 274
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 274) = 274
GCD(1, 274) = ( 1 x 274 ) / 274
GCD(1, 274) = 274 / 274
GCD(1, 274) = 1
GCD of 463, 343, 887, 274 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 463, 343, 887, 274?
GCD of 463, 343, 887, 274 is 1
2. Where do I get the detailed procedure to find GCD of 463, 343, 887, 274?
You can find a detailed procedure to find GCD of 463, 343, 887, 274 on our page.
3. How to find GCD of 463, 343, 887, 274 on a calculator?
You can find the GCD of 463, 343, 887, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.