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 925, 177, 48, 250 i.e. 1 largest integer that divides all the numbers equally.
GCD of 925, 177, 48, 250 is 1
GCD(925, 177, 48, 250) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 925, 177, 48, 250 is 1
GCD(925, 177, 48, 250) = 1
Given Input numbers are 925, 177, 48, 250
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Greatest Common Divisior
We found the divisors of 925, 177, 48, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 177, 48, 250 is 1.
Therefore, GCD of numbers 925, 177, 48, 250 is 1
Given Input Data is 925, 177, 48, 250
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 177 is 3 x 59
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 250 is 2 x 5 x 5 x 5
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(925, 177) = 163725
GCD(925, 177) = ( 925 x 177 ) / 163725
GCD(925, 177) = 163725 / 163725
GCD(925, 177) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 250
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 250) = 250
GCD(1, 250) = ( 1 x 250 ) / 250
GCD(1, 250) = 250 / 250
GCD(1, 250) = 1
GCD of 925, 177, 48, 250 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 925, 177, 48, 250?
GCD of 925, 177, 48, 250 is 1
2. Where do I get the detailed procedure to find GCD of 925, 177, 48, 250?
You can find a detailed procedure to find GCD of 925, 177, 48, 250 on our page.
3. How to find GCD of 925, 177, 48, 250 on a calculator?
You can find the GCD of 925, 177, 48, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.