GCF of 4797/498, 9375/3474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4797/498, 9375/3474 i.e 3/288342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4797/498, 9375/3474.
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 4797/498,9375/3474?
Given fractions are 4797/498,9375/3474
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 4797/498,9375/3474, numerators are 4797,9375
Denominators are 498,3474
The GCF of 4797,9375 is 3 .
LCM of 498,3474 is 288342.
The greatest common factor of 4797/498,9375/3474 = [GCF of 4797,9375]/[LCM of 498,3474]= 3/288342
Therefore, the GCF of 4797/498,9375/3474 is 3/288342.
To find the highest common factor of 4797,9375, we have to find the factors of both numbers and list the highest common factor.
The factors of 4797 are 1, 3, 9, 13, 39, 41, 117, 123, 369, 533, 1599, 4797
The factors of 9375 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375
The HCF of 4797,9375 is 3.
Lets's calculate GCF of 4797,9375
| 3 | 4797, 9375 |
| 1599, 3125 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4797,9375 By Matching Biggest Common Factor Method
Now, list down the factors of 4797
:1,3,9,13,39,41,117,123,369,533,1599,4797
Now, list down the factors of 9375
:1,3,5,15,25,75,125,375,625,1875,3125,9375
Greatest Common Factor
We found the factors 4797,9375 . The biggest common factor number is the GCF number.
So the greatest common factor 4797,9375 is 3.
Lets's calculate LCM of 498,3474
| 2 | 498, 3474 |
| 3 | 249, 1737 |
| 83, 579 |
∴ So the LCM of the given numbers is 2 x 3 x 83 x 579 = 288342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/288342
Therefore, the GCF of Fractions 4797/498,9375/3474 is 3/288342
Least Common Multiple of 498,3474 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 498,3474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,3474) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(498,3474) x common factors =6 x 1 = 6
LCM(498,3474) = ( 498 × 3474 ) / 6
LCM(498,3474) = 1730052 / 6
LCM(498,3474) = 288342
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FAQs on GCF of Fractions of 4797/498, 9375/3474
1. What is the HCF of 4797,9375?
The HCF of 4797,9375 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 4797/498, 9375/3474?
Answer: GCF of Numerators as per given numbers 4797/498, 9375/3474 is
GCF of Numerators i.e. for 4797,9375 is 3
LCM of denominators i.e. for 498,3474 is 288342.
Thus, GCF of Fractions is 3/288342.Finally, GCF of Fractions for 4797/498, 9375/3474 is 3/288342.