GCF of 9118/477, 9518/2478
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9118/477, 9518/2478 i.e 2/394002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9118/477, 9518/2478.
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 9118/477,9518/2478?
Given fractions are 9118/477,9518/2478
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 9118/477,9518/2478, numerators are 9118,9518
Denominators are 477,2478
The GCF of 9118,9518 is 2 .
LCM of 477,2478 is 394002.
The greatest common factor of 9118/477,9518/2478 = [GCF of 9118,9518]/[LCM of 477,2478]= 2/394002
Therefore, the GCF of 9118/477,9518/2478 is 2/394002.
To find the highest common factor of 9118,9518, we have to find the factors of both numbers and list the highest common factor.
The factors of 9118 are 1, 2, 47, 94, 97, 194, 4559, 9118
The factors of 9518 are 1, 2, 4759, 9518
The HCF of 9118,9518 is 2.
Lets's calculate GCF of 9118,9518
| 2 | 9118, 9518 |
| 4559, 4759 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9118,9518 By Matching Biggest Common Factor Method
Now, list down the factors of 9118
:1,2,47,94,97,194,4559,9118
Now, list down the factors of 9518
:1,2,4759,9518
Greatest Common Factor
We found the factors 9118,9518 . The biggest common factor number is the GCF number.
So the greatest common factor 9118,9518 is 2.
Lets's calculate LCM of 477,2478
| 3 | 477, 2478 |
| 159, 826 |
∴ So the LCM of the given numbers is 3 x 159 x 826 = 394002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/394002
Therefore, the GCF of Fractions 9118/477,9518/2478 is 2/394002
Least Common Multiple of 477,2478 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 477,2478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,2478) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(477,2478) x common factors =3 x 1 = 3
LCM(477,2478) = ( 477 × 2478 ) / 3
LCM(477,2478) = 1182006 / 3
LCM(477,2478) = 394002
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FAQs on GCF of Fractions of 9118/477, 9518/2478
1. What is the HCF of 9118,9518?
The HCF of 9118,9518 is 2
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 9118/477, 9518/2478?
Answer: GCF of Numerators as per given numbers 9118/477, 9518/2478 is
GCF of Numerators i.e. for 9118,9518 is 2
LCM of denominators i.e. for 477,2478 is 394002.
Thus, GCF of Fractions is 2/394002.Finally, GCF of Fractions for 9118/477, 9518/2478 is 2/394002.