GCF of 5016/912, 6375/7017
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5016/912, 6375/7017 i.e 3/2133168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5016/912, 6375/7017.
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 5016/912,6375/7017?
Given fractions are 5016/912,6375/7017
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 5016/912,6375/7017, numerators are 5016,6375
Denominators are 912,7017
The GCF of 5016,6375 is 3 .
LCM of 912,7017 is 2133168.
The greatest common factor of 5016/912,6375/7017 = [GCF of 5016,6375]/[LCM of 912,7017]= 3/2133168
Therefore, the GCF of 5016/912,6375/7017 is 3/2133168.
To find the highest common factor of 5016,6375, we have to find the factors of both numbers and list the highest common factor.
The factors of 5016 are 1, 2, 3, 4, 6, 8, 11, 12, 19, 22, 24, 33, 38, 44, 57, 66, 76, 88, 114, 132, 152, 209, 228, 264, 418, 456, 627, 836, 1254, 1672, 2508, 5016
The factors of 6375 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 125, 255, 375, 425, 1275, 2125, 6375
The HCF of 5016,6375 is 3.
Lets's calculate GCF of 5016,6375
| 3 | 5016, 6375 |
| 1672, 2125 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5016,6375 By Matching Biggest Common Factor Method
Now, list down the factors of 5016
:1,2,3,4,6,8,11,12,19,22,24,33,38,44,57,66,76,88,114,132,152,209,228,264,418,456,627,836,1254,1672,2508,5016
Now, list down the factors of 6375
:1,3,5,15,17,25,51,75,85,125,255,375,425,1275,2125,6375
Greatest Common Factor
We found the factors 5016,6375 . The biggest common factor number is the GCF number.
So the greatest common factor 5016,6375 is 3.
Lets's calculate LCM of 912,7017
| 3 | 912, 7017 |
| 304, 2339 |
∴ So the LCM of the given numbers is 3 x 304 x 2339 = 2133168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2133168
Therefore, the GCF of Fractions 5016/912,6375/7017 is 3/2133168
Least Common Multiple of 912,7017 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 912,7017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,7017) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(912,7017) x common factors =3 x 1 = 3
LCM(912,7017) = ( 912 × 7017 ) / 3
LCM(912,7017) = 6399504 / 3
LCM(912,7017) = 2133168
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FAQs on GCF of Fractions of 5016/912, 6375/7017
1. What is the HCF of 5016,6375?
The HCF of 5016,6375 is 3
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 5016/912, 6375/7017?
Answer: GCF of Numerators as per given numbers 5016/912, 6375/7017 is
GCF of Numerators i.e. for 5016,6375 is 3
LCM of denominators i.e. for 912,7017 is 2133168.
Thus, GCF of Fractions is 3/2133168.Finally, GCF of Fractions for 5016/912, 6375/7017 is 3/2133168.