GCF of 4499/846, 9797/369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4499/846, 9797/369 i.e 1/34686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4499/846, 9797/369.
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 4499/846,9797/369?
Given fractions are 4499/846,9797/369
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 4499/846,9797/369, numerators are 4499,9797
Denominators are 846,369
The GCF of 4499,9797 is 1 .
LCM of 846,369 is 34686.
The greatest common factor of 4499/846,9797/369 = [GCF of 4499,9797]/[LCM of 846,369]= 1/34686
Therefore, the GCF of 4499/846,9797/369 is 1/34686.
To find the highest common factor of 4499,9797, we have to find the factors of both numbers and list the highest common factor.
The factors of 4499 are 1, 11, 409, 4499
The factors of 9797 are 1, 97, 101, 9797
The HCF of 4499,9797 is 1.
Lets's calculate GCF of 4499,9797
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4499,9797 By Matching Biggest Common Factor Method
Now, list down the factors of 4499
:1,11,409,4499
Now, list down the factors of 9797
:1,97,101,9797
Greatest Common Factor
We found the factors 4499,9797 . The biggest common factor number is the GCF number.
So the greatest common factor 4499,9797 is 1.
Lets's calculate LCM of 846,369
| 3 | 846, 369 |
| 3 | 282, 123 |
| 94, 41 |
∴ So the LCM of the given numbers is 3 x 3 x 94 x 41 = 34686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34686
Therefore, the GCF of Fractions 4499/846,9797/369 is 1/34686
Least Common Multiple of 846,369 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 846,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,369) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(846,369) x common factors =9 x 1 = 9
LCM(846,369) = ( 846 × 369 ) / 9
LCM(846,369) = 312174 / 9
LCM(846,369) = 34686
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FAQs on GCF of Fractions of 4499/846, 9797/369
1. What is the HCF of 4499,9797?
The HCF of 4499,9797 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 4499/846, 9797/369?
Answer: GCF of Numerators as per given numbers 4499/846, 9797/369 is
GCF of Numerators i.e. for 4499,9797 is 1
LCM of denominators i.e. for 846,369 is 34686.
Thus, GCF of Fractions is 1/34686.Finally, GCF of Fractions for 4499/846, 9797/369 is 1/34686.