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 290, 275, 875, 474 i.e. 1 largest integer that divides all the numbers equally.
GCD of 290, 275, 875, 474 is 1
GCD(290, 275, 875, 474) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 290, 275, 875, 474 is 1
GCD(290, 275, 875, 474) = 1
Given Input numbers are 290, 275, 875, 474
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Greatest Common Divisior
We found the divisors of 290, 275, 875, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 275, 875, 474 is 1.
Therefore, GCD of numbers 290, 275, 875, 474 is 1
Given Input Data is 290, 275, 875, 474
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 474 is 2 x 3 x 79
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(290, 275) = 15950
GCD(290, 275) = ( 290 x 275 ) / 15950
GCD(290, 275) = 79750 / 15950
GCD(290, 275) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 875
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 875) = 875
GCD(5, 875) = ( 5 x 875 ) / 875
GCD(5, 875) = 4375 / 875
GCD(5, 875) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 474
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 474) = 2370
GCD(5, 474) = ( 5 x 474 ) / 2370
GCD(5, 474) = 2370 / 2370
GCD(5, 474) = 1
GCD of 290, 275, 875, 474 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 290, 275, 875, 474?
GCD of 290, 275, 875, 474 is 1
2. Where do I get the detailed procedure to find GCD of 290, 275, 875, 474?
You can find a detailed procedure to find GCD of 290, 275, 875, 474 on our page.
3. How to find GCD of 290, 275, 875, 474 on a calculator?
You can find the GCD of 290, 275, 875, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.