GCF of 5302/444, 4317/9681
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5302/444, 4317/9681 i.e 1/1432788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5302/444, 4317/9681.
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 5302/444,4317/9681?
Given fractions are 5302/444,4317/9681
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 5302/444,4317/9681, numerators are 5302,4317
Denominators are 444,9681
The GCF of 5302,4317 is 1 .
LCM of 444,9681 is 1432788.
The greatest common factor of 5302/444,4317/9681 = [GCF of 5302,4317]/[LCM of 444,9681]= 1/1432788
Therefore, the GCF of 5302/444,4317/9681 is 1/1432788.
To find the highest common factor of 5302,4317, we have to find the factors of both numbers and list the highest common factor.
The factors of 5302 are 1, 2, 11, 22, 241, 482, 2651, 5302
The factors of 4317 are 1, 3, 1439, 4317
The HCF of 5302,4317 is 1.
Lets's calculate GCF of 5302,4317
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5302,4317 By Matching Biggest Common Factor Method
Now, list down the factors of 5302
:1,2,11,22,241,482,2651,5302
Now, list down the factors of 4317
:1,3,1439,4317
Greatest Common Factor
We found the factors 5302,4317 . The biggest common factor number is the GCF number.
So the greatest common factor 5302,4317 is 1.
Lets's calculate LCM of 444,9681
| 3 | 444, 9681 |
| 148, 3227 |
∴ So the LCM of the given numbers is 3 x 148 x 3227 = 1432788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1432788
Therefore, the GCF of Fractions 5302/444,4317/9681 is 1/1432788
Least Common Multiple of 444,9681 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 444,9681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,9681) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(444,9681) x common factors =3 x 1 = 3
LCM(444,9681) = ( 444 × 9681 ) / 3
LCM(444,9681) = 4298364 / 3
LCM(444,9681) = 1432788
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FAQs on GCF of Fractions of 5302/444, 4317/9681
1. What is the HCF of 5302,4317?
The HCF of 5302,4317 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 5302/444, 4317/9681?
Answer: GCF of Numerators as per given numbers 5302/444, 4317/9681 is
GCF of Numerators i.e. for 5302,4317 is 1
LCM of denominators i.e. for 444,9681 is 1432788.
Thus, GCF of Fractions is 1/1432788.Finally, GCF of Fractions for 5302/444, 4317/9681 is 1/1432788.