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 474, 868, 969, 498 i.e. 1 largest integer that divides all the numbers equally.
GCD of 474, 868, 969, 498 is 1
GCD(474, 868, 969, 498) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 474, 868, 969, 498 is 1
GCD(474, 868, 969, 498) = 1
Given Input numbers are 474, 868, 969, 498
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Greatest Common Divisior
We found the divisors of 474, 868, 969, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 868, 969, 498 is 1.
Therefore, GCD of numbers 474, 868, 969, 498 is 1
Given Input Data is 474, 868, 969, 498
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 498 is 2 x 3 x 83
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(474, 868) = 205716
GCD(474, 868) = ( 474 x 868 ) / 205716
GCD(474, 868) = 411432 / 205716
GCD(474, 868) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 969) = 1938
GCD(2, 969) = ( 2 x 969 ) / 1938
GCD(2, 969) = 1938 / 1938
GCD(2, 969) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 498
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 498) = 498
GCD(1, 498) = ( 1 x 498 ) / 498
GCD(1, 498) = 498 / 498
GCD(1, 498) = 1
GCD of 474, 868, 969, 498 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 474, 868, 969, 498?
GCD of 474, 868, 969, 498 is 1
2. Where do I get the detailed procedure to find GCD of 474, 868, 969, 498?
You can find a detailed procedure to find GCD of 474, 868, 969, 498 on our page.
3. How to find GCD of 474, 868, 969, 498 on a calculator?
You can find the GCD of 474, 868, 969, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.