GCF of 9275/438, 4073/432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9275/438, 4073/432 i.e 1/31536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9275/438, 4073/432.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9275/438,4073/432?
Given fractions are 9275/438,4073/432
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9275/438,4073/432, numerators are 9275,4073
Denominators are 438,432
The GCF of 9275,4073 is 1 .
LCM of 438,432 is 31536.
The greatest common factor of 9275/438,4073/432 = [GCF of 9275,4073]/[LCM of 438,432]= 1/31536
Therefore, the GCF of 9275/438,4073/432 is 1/31536.
To find the highest common factor of 9275,4073, we have to find the factors of both numbers and list the highest common factor.
The factors of 9275 are 1, 5, 7, 25, 35, 53, 175, 265, 371, 1325, 1855, 9275
The factors of 4073 are 1, 4073
The HCF of 9275,4073 is 1.
Lets's calculate GCF of 9275,4073
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9275,4073 By Matching Biggest Common Factor Method
Now, list down the factors of 9275
:1,5,7,25,35,53,175,265,371,1325,1855,9275
Now, list down the factors of 4073
:1,4073
Greatest Common Factor
We found the factors 9275,4073 . The biggest common factor number is the GCF number.
So the greatest common factor 9275,4073 is 1.
Lets's calculate LCM of 438,432
| 2 | 438, 432 |
| 3 | 219, 216 |
| 73, 72 |
∴ So the LCM of the given numbers is 2 x 3 x 73 x 72 = 31536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31536
Therefore, the GCF of Fractions 9275/438,4073/432 is 1/31536
Least Common Multiple of 438,432 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 438,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,432) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(438,432) x common factors =6 x 1 = 6
LCM(438,432) = ( 438 × 432 ) / 6
LCM(438,432) = 189216 / 6
LCM(438,432) = 31536
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9275/438, 4073/432
1. What is the HCF of 9275,4073?
The HCF of 9275,4073 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9275/438, 4073/432?
Answer: GCF of Numerators as per given numbers 9275/438, 4073/432 is
GCF of Numerators i.e. for 9275,4073 is 1
LCM of denominators i.e. for 438,432 is 31536.
Thus, GCF of Fractions is 1/31536.Finally, GCF of Fractions for 9275/438, 4073/432 is 1/31536.