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 375, 148, 121, 252 i.e. 1 largest integer that divides all the numbers equally.
GCD of 375, 148, 121, 252 is 1
GCD(375, 148, 121, 252) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 375, 148, 121, 252 is 1
GCD(375, 148, 121, 252) = 1
Given Input numbers are 375, 148, 121, 252
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Greatest Common Divisior
We found the divisors of 375, 148, 121, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 148, 121, 252 is 1.
Therefore, GCD of numbers 375, 148, 121, 252 is 1
Given Input Data is 375, 148, 121, 252
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 121 is 11 x 11
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
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(375, 148) = 55500
GCD(375, 148) = ( 375 x 148 ) / 55500
GCD(375, 148) = 55500 / 55500
GCD(375, 148) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
GCD(1, 121) = 121 / 121
GCD(1, 121) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
GCD(1, 252) = 252 / 252
GCD(1, 252) = 1
GCD of 375, 148, 121, 252 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 375, 148, 121, 252?
GCD of 375, 148, 121, 252 is 1
2. Where do I get the detailed procedure to find GCD of 375, 148, 121, 252?
You can find a detailed procedure to find GCD of 375, 148, 121, 252 on our page.
3. How to find GCD of 375, 148, 121, 252 on a calculator?
You can find the GCD of 375, 148, 121, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.