GCF of 7857/472, 4758/186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7857/472, 4758/186 i.e 3/43896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7857/472, 4758/186.
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 7857/472,4758/186?
Given fractions are 7857/472,4758/186
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 7857/472,4758/186, numerators are 7857,4758
Denominators are 472,186
The GCF of 7857,4758 is 3 .
LCM of 472,186 is 43896.
The greatest common factor of 7857/472,4758/186 = [GCF of 7857,4758]/[LCM of 472,186]= 3/43896
Therefore, the GCF of 7857/472,4758/186 is 3/43896.
To find the highest common factor of 7857,4758, we have to find the factors of both numbers and list the highest common factor.
The factors of 7857 are 1, 3, 9, 27, 81, 97, 291, 873, 2619, 7857
The factors of 4758 are 1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379, 4758
The HCF of 7857,4758 is 3.
Lets's calculate GCF of 7857,4758
| 3 | 7857, 4758 |
| 2619, 1586 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7857,4758 By Matching Biggest Common Factor Method
Now, list down the factors of 7857
:1,3,9,27,81,97,291,873,2619,7857
Now, list down the factors of 4758
:1,2,3,6,13,26,39,61,78,122,183,366,793,1586,2379,4758
Greatest Common Factor
We found the factors 7857,4758 . The biggest common factor number is the GCF number.
So the greatest common factor 7857,4758 is 3.
Lets's calculate LCM of 472,186
| 2 | 472, 186 |
| 236, 93 |
∴ So the LCM of the given numbers is 2 x 236 x 93 = 43896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/43896
Therefore, the GCF of Fractions 7857/472,4758/186 is 3/43896
Least Common Multiple of 472,186 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 472,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,186) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(472,186) x common factors =2 x 1 = 2
LCM(472,186) = ( 472 × 186 ) / 2
LCM(472,186) = 87792 / 2
LCM(472,186) = 43896
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FAQs on GCF of Fractions of 7857/472, 4758/186
1. What is the HCF of 7857,4758?
The HCF of 7857,4758 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 7857/472, 4758/186?
Answer: GCF of Numerators as per given numbers 7857/472, 4758/186 is
GCF of Numerators i.e. for 7857,4758 is 3
LCM of denominators i.e. for 472,186 is 43896.
Thus, GCF of Fractions is 3/43896.Finally, GCF of Fractions for 7857/472, 4758/186 is 3/43896.