GCF of 4667/106, 9897/9732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4667/106, 9897/9732 i.e 1/515796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4667/106, 9897/9732.
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 4667/106,9897/9732?
Given fractions are 4667/106,9897/9732
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 4667/106,9897/9732, numerators are 4667,9897
Denominators are 106,9732
The GCF of 4667,9897 is 1 .
LCM of 106,9732 is 515796.
The greatest common factor of 4667/106,9897/9732 = [GCF of 4667,9897]/[LCM of 106,9732]= 1/515796
Therefore, the GCF of 4667/106,9897/9732 is 1/515796.
To find the highest common factor of 4667,9897, we have to find the factors of both numbers and list the highest common factor.
The factors of 4667 are 1, 13, 359, 4667
The factors of 9897 are 1, 3, 3299, 9897
The HCF of 4667,9897 is 1.
Lets's calculate GCF of 4667,9897
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4667,9897 By Matching Biggest Common Factor Method
Now, list down the factors of 4667
:1,13,359,4667
Now, list down the factors of 9897
:1,3,3299,9897
Greatest Common Factor
We found the factors 4667,9897 . The biggest common factor number is the GCF number.
So the greatest common factor 4667,9897 is 1.
Lets's calculate LCM of 106,9732
| 2 | 106, 9732 |
| 53, 4866 |
∴ So the LCM of the given numbers is 2 x 53 x 4866 = 515796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/515796
Therefore, the GCF of Fractions 4667/106,9897/9732 is 1/515796
Least Common Multiple of 106,9732 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 106,9732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,9732) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(106,9732) x common factors =2 x 1 = 2
LCM(106,9732) = ( 106 × 9732 ) / 2
LCM(106,9732) = 1031592 / 2
LCM(106,9732) = 515796
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FAQs on GCF of Fractions of 4667/106, 9897/9732
1. What is the HCF of 4667,9897?
The HCF of 4667,9897 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 4667/106, 9897/9732?
Answer: GCF of Numerators as per given numbers 4667/106, 9897/9732 is
GCF of Numerators i.e. for 4667,9897 is 1
LCM of denominators i.e. for 106,9732 is 515796.
Thus, GCF of Fractions is 1/515796.Finally, GCF of Fractions for 4667/106, 9897/9732 is 1/515796.