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 370, 883, 25, 906 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 883, 25, 906 is 1
GCD(370, 883, 25, 906) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 883, 25, 906 is 1
GCD(370, 883, 25, 906) = 1
Given Input numbers are 370, 883, 25, 906
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 883
List of positive integer divisors of 883 that divides 883 without a remainder.
1, 883
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Greatest Common Divisior
We found the divisors of 370, 883, 25, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 883, 25, 906 is 1.
Therefore, GCD of numbers 370, 883, 25, 906 is 1
Given Input Data is 370, 883, 25, 906
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 883 is 883
Prime Factorization of 25 is 5 x 5
Prime Factorization of 906 is 2 x 3 x 151
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(370, 883) = 326710
GCD(370, 883) = ( 370 x 883 ) / 326710
GCD(370, 883) = 326710 / 326710
GCD(370, 883) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 906
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 906) = 906
GCD(1, 906) = ( 1 x 906 ) / 906
GCD(1, 906) = 906 / 906
GCD(1, 906) = 1
GCD of 370, 883, 25, 906 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 883, 25, 906?
GCD of 370, 883, 25, 906 is 1
2. Where do I get the detailed procedure to find GCD of 370, 883, 25, 906?
You can find a detailed procedure to find GCD of 370, 883, 25, 906 on our page.
3. How to find GCD of 370, 883, 25, 906 on a calculator?
You can find the GCD of 370, 883, 25, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.