GCF of 4392/663, 9886/9971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4392/663, 9886/9971 i.e 2/508521 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4392/663, 9886/9971.
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 4392/663,9886/9971?
Given fractions are 4392/663,9886/9971
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 4392/663,9886/9971, numerators are 4392,9886
Denominators are 663,9971
The GCF of 4392,9886 is 2 .
LCM of 663,9971 is 508521.
The greatest common factor of 4392/663,9886/9971 = [GCF of 4392,9886]/[LCM of 663,9971]= 2/508521
Therefore, the GCF of 4392/663,9886/9971 is 2/508521.
To find the highest common factor of 4392,9886, we have to find the factors of both numbers and list the highest common factor.
The factors of 4392 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 61, 72, 122, 183, 244, 366, 488, 549, 732, 1098, 1464, 2196, 4392
The factors of 9886 are 1, 2, 4943, 9886
The HCF of 4392,9886 is 2.
Lets's calculate GCF of 4392,9886
| 2 | 4392, 9886 |
| 2196, 4943 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4392,9886 By Matching Biggest Common Factor Method
Now, list down the factors of 4392
:1,2,3,4,6,8,9,12,18,24,36,61,72,122,183,244,366,488,549,732,1098,1464,2196,4392
Now, list down the factors of 9886
:1,2,4943,9886
Greatest Common Factor
We found the factors 4392,9886 . The biggest common factor number is the GCF number.
So the greatest common factor 4392,9886 is 2.
Lets's calculate LCM of 663,9971
| 13 | 663, 9971 |
| 51, 767 |
∴ So the LCM of the given numbers is 13 x 51 x 767 = 508521
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/508521
Therefore, the GCF of Fractions 4392/663,9886/9971 is 2/508521
Least Common Multiple of 663,9971 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 663,9971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,9971) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(663,9971) x common factors =13 x 1 = 13
LCM(663,9971) = ( 663 × 9971 ) / 13
LCM(663,9971) = 6610773 / 13
LCM(663,9971) = 508521
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FAQs on GCF of Fractions of 4392/663, 9886/9971
1. What is the HCF of 4392,9886?
The HCF of 4392,9886 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 4392/663, 9886/9971?
Answer: GCF of Numerators as per given numbers 4392/663, 9886/9971 is
GCF of Numerators i.e. for 4392,9886 is 2
LCM of denominators i.e. for 663,9971 is 508521.
Thus, GCF of Fractions is 2/508521.Finally, GCF of Fractions for 4392/663, 9886/9971 is 2/508521.