GCF of 9987/295, 2376/4680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9987/295, 2376/4680 i.e 3/276120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9987/295, 2376/4680.
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 9987/295,2376/4680?
Given fractions are 9987/295,2376/4680
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 9987/295,2376/4680, numerators are 9987,2376
Denominators are 295,4680
The GCF of 9987,2376 is 3 .
LCM of 295,4680 is 276120.
The greatest common factor of 9987/295,2376/4680 = [GCF of 9987,2376]/[LCM of 295,4680]= 3/276120
Therefore, the GCF of 9987/295,2376/4680 is 3/276120.
To find the highest common factor of 9987,2376, we have to find the factors of both numbers and list the highest common factor.
The factors of 9987 are 1, 3, 3329, 9987
The factors of 2376 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 88, 99, 108, 132, 198, 216, 264, 297, 396, 594, 792, 1188, 2376
The HCF of 9987,2376 is 3.
Lets's calculate GCF of 9987,2376
| 3 | 9987, 2376 |
| 3329, 792 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9987,2376 By Matching Biggest Common Factor Method
Now, list down the factors of 9987
:1,3,3329,9987
Now, list down the factors of 2376
:1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,88,99,108,132,198,216,264,297,396,594,792,1188,2376
Greatest Common Factor
We found the factors 9987,2376 . The biggest common factor number is the GCF number.
So the greatest common factor 9987,2376 is 3.
Lets's calculate LCM of 295,4680
| 5 | 295, 4680 |
| 59, 936 |
∴ So the LCM of the given numbers is 5 x 59 x 936 = 276120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/276120
Therefore, the GCF of Fractions 9987/295,2376/4680 is 3/276120
Least Common Multiple of 295,4680 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 295,4680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,4680) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(295,4680) x common factors =5 x 1 = 5
LCM(295,4680) = ( 295 × 4680 ) / 5
LCM(295,4680) = 1380600 / 5
LCM(295,4680) = 276120
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FAQs on GCF of Fractions of 9987/295, 2376/4680
1. What is the HCF of 9987,2376?
The HCF of 9987,2376 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 9987/295, 2376/4680?
Answer: GCF of Numerators as per given numbers 9987/295, 2376/4680 is
GCF of Numerators i.e. for 9987,2376 is 3
LCM of denominators i.e. for 295,4680 is 276120.
Thus, GCF of Fractions is 3/276120.Finally, GCF of Fractions for 9987/295, 2376/4680 is 3/276120.