GCF of 1157/386, 4966/1478
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1157/386, 4966/1478 i.e 13/285254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1157/386, 4966/1478.
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 1157/386,4966/1478?
Given fractions are 1157/386,4966/1478
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 1157/386,4966/1478, numerators are 1157,4966
Denominators are 386,1478
The GCF of 1157,4966 is 13 .
LCM of 386,1478 is 285254.
The greatest common factor of 1157/386,4966/1478 = [GCF of 1157,4966]/[LCM of 386,1478]= 13/285254
Therefore, the GCF of 1157/386,4966/1478 is 13/285254.
To find the highest common factor of 1157,4966, we have to find the factors of both numbers and list the highest common factor.
The factors of 1157 are 1, 13, 89, 1157
The factors of 4966 are 1, 2, 13, 26, 191, 382, 2483, 4966
The HCF of 1157,4966 is 13.
Lets's calculate GCF of 1157,4966
| 13 | 1157, 4966 |
| 89, 382 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 1157,4966 By Matching Biggest Common Factor Method
Now, list down the factors of 1157
:1,13,89,1157
Now, list down the factors of 4966
:1,2,13,26,191,382,2483,4966
Greatest Common Factor
We found the factors 1157,4966 . The biggest common factor number is the GCF number.
So the greatest common factor 1157,4966 is 13.
Lets's calculate LCM of 386,1478
| 2 | 386, 1478 |
| 193, 739 |
∴ So the LCM of the given numbers is 2 x 193 x 739 = 285254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/285254
Therefore, the GCF of Fractions 1157/386,4966/1478 is 13/285254
Least Common Multiple of 386,1478 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 386,1478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,1478) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(386,1478) x common factors =2 x 1 = 2
LCM(386,1478) = ( 386 × 1478 ) / 2
LCM(386,1478) = 570508 / 2
LCM(386,1478) = 285254
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FAQs on GCF of Fractions of 1157/386, 4966/1478
1. What is the HCF of 1157,4966?
The HCF of 1157,4966 is 13
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 1157/386, 4966/1478?
Answer: GCF of Numerators as per given numbers 1157/386, 4966/1478 is
GCF of Numerators i.e. for 1157,4966 is 13
LCM of denominators i.e. for 386,1478 is 285254.
Thus, GCF of Fractions is 13/285254.Finally, GCF of Fractions for 1157/386, 4966/1478 is 13/285254.