GCF of 908/375, 375/728, 132/955
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 908/375, 375/728, 132/955 i.e 1/52143000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 908/375, 375/728, 132/955.
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 908/375,375/728,132/955?
Given fractions are 908/375,375/728,132/955
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 908/375,375/728,132/955, numerators are 908,375,132
Denominators are 375,728,955
The GCF of 908,375,132 is 1 .
LCM of 375,728,955 is 52143000.
The greatest common factor of 908/375,375/728,132/955 = [GCF of 908,375,132]/[LCM of 375,728,955]= 1/52143000
Therefore, the GCF of 908/375,375/728,132/955 is 1/52143000.
To find the highest common factor of 908,375,132, we have to find the factors of both numbers and list the highest common factor.
The factors of 908 are 1, 2, 4, 227, 454, 908
The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375
The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
The HCF of 908,375,132 is 1.
Lets's calculate GCF of 908,375,132
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 908,375,132 By Matching Biggest Common Factor Method
Now, list down the factors of 908
:1,2,4,227,454,908
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Now, list down the factors of 132
:1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 908,375,132 . The biggest common factor number is the GCF number.
So the greatest common factor 908,375,132 is 1.
Lets's calculate LCM of 375,728,955
| 5 | 375, 728, 955 |
| 75, 728, 191 |
∴ So the LCM of the given numbers is 5 x 75 x 728 x 191 = 52143000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52143000
Therefore, the GCF of Fractions 908/375,375/728,132/955 is 1/52143000
Least Common Multiple of 375,728,955 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 375,728,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,728,955) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(375,728,955) x common factors =1 x 5 = 5
LCM(375,728,955) = ( 375 × 728 × 955 ) / 5
LCM(375,728,955) = 260715000 / 5
LCM(375,728,955) = 52143000
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 908/375, 375/728, 132/955
1. What is the HCF of 908,375,132?
The HCF of 908,375,132 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 908/375, 375/728, 132/955?
Answer: GCF of Numerators as per given numbers 908/375, 375/728, 132/955 is
GCF of Numerators i.e. for 908,375,132 is 1
LCM of denominators i.e. for 375,728,955 is 52143000.
Thus, GCF of Fractions is 1/52143000.Finally, GCF of Fractions for 908/375, 375/728, 132/955 is 1/52143000.