GCF of 4982/342, 7899/6471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4982/342, 7899/6471 i.e 1/245898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4982/342, 7899/6471.
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 4982/342,7899/6471?
Given fractions are 4982/342,7899/6471
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 4982/342,7899/6471, numerators are 4982,7899
Denominators are 342,6471
The GCF of 4982,7899 is 1 .
LCM of 342,6471 is 245898.
The greatest common factor of 4982/342,7899/6471 = [GCF of 4982,7899]/[LCM of 342,6471]= 1/245898
Therefore, the GCF of 4982/342,7899/6471 is 1/245898.
To find the highest common factor of 4982,7899, we have to find the factors of both numbers and list the highest common factor.
The factors of 4982 are 1, 2, 47, 53, 94, 106, 2491, 4982
The factors of 7899 are 1, 3, 2633, 7899
The HCF of 4982,7899 is 1.
Lets's calculate GCF of 4982,7899
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4982,7899 By Matching Biggest Common Factor Method
Now, list down the factors of 4982
:1,2,47,53,94,106,2491,4982
Now, list down the factors of 7899
:1,3,2633,7899
Greatest Common Factor
We found the factors 4982,7899 . The biggest common factor number is the GCF number.
So the greatest common factor 4982,7899 is 1.
Lets's calculate LCM of 342,6471
| 3 | 342, 6471 |
| 3 | 114, 2157 |
| 38, 719 |
∴ So the LCM of the given numbers is 3 x 3 x 38 x 719 = 245898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/245898
Therefore, the GCF of Fractions 4982/342,7899/6471 is 1/245898
Least Common Multiple of 342,6471 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 342,6471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,6471) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(342,6471) x common factors =9 x 1 = 9
LCM(342,6471) = ( 342 × 6471 ) / 9
LCM(342,6471) = 2213082 / 9
LCM(342,6471) = 245898
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FAQs on GCF of Fractions of 4982/342, 7899/6471
1. What is the HCF of 4982,7899?
The HCF of 4982,7899 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 4982/342, 7899/6471?
Answer: GCF of Numerators as per given numbers 4982/342, 7899/6471 is
GCF of Numerators i.e. for 4982,7899 is 1
LCM of denominators i.e. for 342,6471 is 245898.
Thus, GCF of Fractions is 1/245898.Finally, GCF of Fractions for 4982/342, 7899/6471 is 1/245898.