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 875, 209, 472, 356 i.e. 1 largest integer that divides all the numbers equally.
GCD of 875, 209, 472, 356 is 1
GCD(875, 209, 472, 356) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 875, 209, 472, 356 is 1
GCD(875, 209, 472, 356) = 1
Given Input numbers are 875, 209, 472, 356
To find the GCD of numbers using factoring list out all the divisors of each number
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 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Greatest Common Divisior
We found the divisors of 875, 209, 472, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 209, 472, 356 is 1.
Therefore, GCD of numbers 875, 209, 472, 356 is 1
Given Input Data is 875, 209, 472, 356
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 209 is 11 x 19
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 356 is 2 x 2 x 89
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(875, 209) = 182875
GCD(875, 209) = ( 875 x 209 ) / 182875
GCD(875, 209) = 182875 / 182875
GCD(875, 209) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
GCD(1, 472) = 472 / 472
GCD(1, 472) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 356
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 356) = 356
GCD(1, 356) = ( 1 x 356 ) / 356
GCD(1, 356) = 356 / 356
GCD(1, 356) = 1
GCD of 875, 209, 472, 356 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 875, 209, 472, 356?
GCD of 875, 209, 472, 356 is 1
2. Where do I get the detailed procedure to find GCD of 875, 209, 472, 356?
You can find a detailed procedure to find GCD of 875, 209, 472, 356 on our page.
3. How to find GCD of 875, 209, 472, 356 on a calculator?
You can find the GCD of 875, 209, 472, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.