GCF of 5275/372, 3375/7968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5275/372, 3375/7968 i.e 25/247008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5275/372, 3375/7968.
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 5275/372,3375/7968?
Given fractions are 5275/372,3375/7968
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 5275/372,3375/7968, numerators are 5275,3375
Denominators are 372,7968
The GCF of 5275,3375 is 25 .
LCM of 372,7968 is 247008.
The greatest common factor of 5275/372,3375/7968 = [GCF of 5275,3375]/[LCM of 372,7968]= 25/247008
Therefore, the GCF of 5275/372,3375/7968 is 25/247008.
To find the highest common factor of 5275,3375, we have to find the factors of both numbers and list the highest common factor.
The factors of 5275 are 1, 5, 25, 211, 1055, 5275
The factors of 3375 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375
The HCF of 5275,3375 is 25.
Lets's calculate GCF of 5275,3375
| 5 | 5275, 3375 |
| 5 | 1055, 675 |
| 211, 135 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 5275,3375 By Matching Biggest Common Factor Method
Now, list down the factors of 5275
:1,5,25,211,1055,5275
Now, list down the factors of 3375
:1,3,5,9,15,25,27,45,75,125,135,225,375,675,1125,3375
Greatest Common Factor
We found the factors 5275,3375 . The biggest common factor number is the GCF number.
So the greatest common factor 5275,3375 is 25.
Lets's calculate LCM of 372,7968
| 2 | 372, 7968 |
| 2 | 186, 3984 |
| 3 | 93, 1992 |
| 31, 664 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 664 = 247008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/247008
Therefore, the GCF of Fractions 5275/372,3375/7968 is 25/247008
Least Common Multiple of 372,7968 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 372,7968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,7968) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(372,7968) x common factors =12 x 1 = 12
LCM(372,7968) = ( 372 × 7968 ) / 12
LCM(372,7968) = 2964096 / 12
LCM(372,7968) = 247008
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FAQs on GCF of Fractions of 5275/372, 3375/7968
1. What is the HCF of 5275,3375?
The HCF of 5275,3375 is 25
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 5275/372, 3375/7968?
Answer: GCF of Numerators as per given numbers 5275/372, 3375/7968 is
GCF of Numerators i.e. for 5275,3375 is 25
LCM of denominators i.e. for 372,7968 is 247008.
Thus, GCF of Fractions is 25/247008.Finally, GCF of Fractions for 5275/372, 3375/7968 is 25/247008.