GCF of 6718/988, 4302/9851
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6718/988, 4302/9851 i.e 2/9732788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6718/988, 4302/9851.
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 6718/988,4302/9851?
Given fractions are 6718/988,4302/9851
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 6718/988,4302/9851, numerators are 6718,4302
Denominators are 988,9851
The GCF of 6718,4302 is 2 .
LCM of 988,9851 is 9732788.
The greatest common factor of 6718/988,4302/9851 = [GCF of 6718,4302]/[LCM of 988,9851]= 2/9732788
Therefore, the GCF of 6718/988,4302/9851 is 2/9732788.
To find the highest common factor of 6718,4302, we have to find the factors of both numbers and list the highest common factor.
The factors of 6718 are 1, 2, 3359, 6718
The factors of 4302 are 1, 2, 3, 6, 9, 18, 239, 478, 717, 1434, 2151, 4302
The HCF of 6718,4302 is 2.
Lets's calculate GCF of 6718,4302
| 2 | 6718, 4302 |
| 3359, 2151 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6718,4302 By Matching Biggest Common Factor Method
Now, list down the factors of 6718
:1,2,3359,6718
Now, list down the factors of 4302
:1,2,3,6,9,18,239,478,717,1434,2151,4302
Greatest Common Factor
We found the factors 6718,4302 . The biggest common factor number is the GCF number.
So the greatest common factor 6718,4302 is 2.
Lets's calculate LCM of 988,9851
Given numbers has no common factors except 1. So, there LCM is their product i.e 9732788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9732788
Therefore, the GCF of Fractions 6718/988,4302/9851 is 2/9732788
Least Common Multiple of 988,9851 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 988,9851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,9851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(988,9851) x common factors =1 x 1 = 1
LCM(988,9851) = ( 988 × 9851 ) / 1
LCM(988,9851) = 9732788 / 1
LCM(988,9851) = 9732788
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FAQs on GCF of Fractions of 6718/988, 4302/9851
1. What is the HCF of 6718,4302?
The HCF of 6718,4302 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 6718/988, 4302/9851?
Answer: GCF of Numerators as per given numbers 6718/988, 4302/9851 is
GCF of Numerators i.e. for 6718,4302 is 2
LCM of denominators i.e. for 988,9851 is 9732788.
Thus, GCF of Fractions is 2/9732788.Finally, GCF of Fractions for 6718/988, 4302/9851 is 2/9732788.