GCD of 252, 175, 12 Calculator
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 252, 175, 12 i.e. 1 largest integer that divides all the numbers equally.
GCD of 252, 175, 12 is 1
GCD(252, 175, 12) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 252, 175, 12 is 1
GCD(252, 175, 12) = 1
GCDof 252,175,12 is 1
Given Input numbers are 252, 175, 12
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Greatest Common Divisior
We found the divisors of 252, 175, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 175, 12 is 1.
Therefore, GCD of numbers 252, 175, 12 is 1
Given Input Data is 252, 175, 12
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 12 is 2 x 2 x 3
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 252, 175, 12 using LCM Formula
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(252, 175) = 6300
GCD(252, 175) = ( 252 x 175 ) / 6300
GCD(252, 175) = 44100 / 6300
GCD(252, 175) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 12) = 84
GCD(7, 12) = ( 7 x 12 ) / 84
GCD(7, 12) = 84 / 84
GCD(7, 12) = 1
GCD of 252, 175, 12 is 1
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FAQs on GCD of numbers 252, 175, 12
1. What is the GCD of 252, 175, 12?
GCD of 252, 175, 12 is 1
2. Where do I get the detailed procedure to find GCD of 252, 175, 12?
You can find a detailed procedure to find GCD of 252, 175, 12 on our page.
3. How to find GCD of 252, 175, 12 on a calculator?
You can find the GCD of 252, 175, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.