GCF of 9904/478, 9524/570
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9904/478, 9524/570 i.e 4/136230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9904/478, 9524/570.
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 9904/478,9524/570?
Given fractions are 9904/478,9524/570
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 9904/478,9524/570, numerators are 9904,9524
Denominators are 478,570
The GCF of 9904,9524 is 4 .
LCM of 478,570 is 136230.
The greatest common factor of 9904/478,9524/570 = [GCF of 9904,9524]/[LCM of 478,570]= 4/136230
Therefore, the GCF of 9904/478,9524/570 is 4/136230.
To find the highest common factor of 9904,9524, we have to find the factors of both numbers and list the highest common factor.
The factors of 9904 are 1, 2, 4, 8, 16, 619, 1238, 2476, 4952, 9904
The factors of 9524 are 1, 2, 4, 2381, 4762, 9524
The HCF of 9904,9524 is 4.
Lets's calculate GCF of 9904,9524
| 2 | 9904, 9524 |
| 2 | 4952, 4762 |
| 2476, 2381 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9904,9524 By Matching Biggest Common Factor Method
Now, list down the factors of 9904
:1,2,4,8,16,619,1238,2476,4952,9904
Now, list down the factors of 9524
:1,2,4,2381,4762,9524
Greatest Common Factor
We found the factors 9904,9524 . The biggest common factor number is the GCF number.
So the greatest common factor 9904,9524 is 4.
Lets's calculate LCM of 478,570
| 2 | 478, 570 |
| 239, 285 |
∴ So the LCM of the given numbers is 2 x 239 x 285 = 136230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/136230
Therefore, the GCF of Fractions 9904/478,9524/570 is 4/136230
Least Common Multiple of 478,570 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 478,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,570) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,570) x common factors =2 x 1 = 2
LCM(478,570) = ( 478 × 570 ) / 2
LCM(478,570) = 272460 / 2
LCM(478,570) = 136230
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FAQs on GCF of Fractions of 9904/478, 9524/570
1. What is the HCF of 9904,9524?
The HCF of 9904,9524 is 4
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 9904/478, 9524/570?
Answer: GCF of Numerators as per given numbers 9904/478, 9524/570 is
GCF of Numerators i.e. for 9904,9524 is 4
LCM of denominators i.e. for 478,570 is 136230.
Thus, GCF of Fractions is 4/136230.Finally, GCF of Fractions for 9904/478, 9524/570 is 4/136230.