GCF of 4847/195, 8661/9987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4847/195, 8661/9987 i.e 1/649155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4847/195, 8661/9987.
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 4847/195,8661/9987?
Given fractions are 4847/195,8661/9987
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 4847/195,8661/9987, numerators are 4847,8661
Denominators are 195,9987
The GCF of 4847,8661 is 1 .
LCM of 195,9987 is 649155.
The greatest common factor of 4847/195,8661/9987 = [GCF of 4847,8661]/[LCM of 195,9987]= 1/649155
Therefore, the GCF of 4847/195,8661/9987 is 1/649155.
To find the highest common factor of 4847,8661, we have to find the factors of both numbers and list the highest common factor.
The factors of 4847 are 1, 37, 131, 4847
The factors of 8661 are 1, 3, 2887, 8661
The HCF of 4847,8661 is 1.
Lets's calculate GCF of 4847,8661
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4847,8661 By Matching Biggest Common Factor Method
Now, list down the factors of 4847
:1,37,131,4847
Now, list down the factors of 8661
:1,3,2887,8661
Greatest Common Factor
We found the factors 4847,8661 . The biggest common factor number is the GCF number.
So the greatest common factor 4847,8661 is 1.
Lets's calculate LCM of 195,9987
| 3 | 195, 9987 |
| 65, 3329 |
∴ So the LCM of the given numbers is 3 x 65 x 3329 = 649155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/649155
Therefore, the GCF of Fractions 4847/195,8661/9987 is 1/649155
Least Common Multiple of 195,9987 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 195,9987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,9987) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(195,9987) x common factors =3 x 1 = 3
LCM(195,9987) = ( 195 × 9987 ) / 3
LCM(195,9987) = 1947465 / 3
LCM(195,9987) = 649155
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FAQs on GCF of Fractions of 4847/195, 8661/9987
1. What is the HCF of 4847,8661?
The HCF of 4847,8661 is 1
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 4847/195, 8661/9987?
Answer: GCF of Numerators as per given numbers 4847/195, 8661/9987 is
GCF of Numerators i.e. for 4847,8661 is 1
LCM of denominators i.e. for 195,9987 is 649155.
Thus, GCF of Fractions is 1/649155.Finally, GCF of Fractions for 4847/195, 8661/9987 is 1/649155.