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 90, 378, 925, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 90, 378, 925, 775 is 1
GCD(90, 378, 925, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 90, 378, 925, 775 is 1
GCD(90, 378, 925, 775) = 1
Given Input numbers are 90, 378, 925, 775
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Greatest Common Divisior
We found the divisors of 90, 378, 925, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 378, 925, 775 is 1.
Therefore, GCD of numbers 90, 378, 925, 775 is 1
Given Input Data is 90, 378, 925, 775
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 775 is 5 x 5 x 31
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(90, 378) = 1890
GCD(90, 378) = ( 90 x 378 ) / 1890
GCD(90, 378) = 34020 / 1890
GCD(90, 378) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 925) = 16650
GCD(18, 925) = ( 18 x 925 ) / 16650
GCD(18, 925) = 16650 / 16650
GCD(18, 925) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
GCD(1, 775) = 775 / 775
GCD(1, 775) = 1
GCD of 90, 378, 925, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 90, 378, 925, 775?
GCD of 90, 378, 925, 775 is 1
2. Where do I get the detailed procedure to find GCD of 90, 378, 925, 775?
You can find a detailed procedure to find GCD of 90, 378, 925, 775 on our page.
3. How to find GCD of 90, 378, 925, 775 on a calculator?
You can find the GCD of 90, 378, 925, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.