GCF of 6763/288, 5269/4986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6763/288, 5269/4986 i.e 1/79776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6763/288, 5269/4986.
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 6763/288,5269/4986?
Given fractions are 6763/288,5269/4986
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 6763/288,5269/4986, numerators are 6763,5269
Denominators are 288,4986
The GCF of 6763,5269 is 1 .
LCM of 288,4986 is 79776.
The greatest common factor of 6763/288,5269/4986 = [GCF of 6763,5269]/[LCM of 288,4986]= 1/79776
Therefore, the GCF of 6763/288,5269/4986 is 1/79776.
To find the highest common factor of 6763,5269, we have to find the factors of both numbers and list the highest common factor.
The factors of 6763 are 1, 6763
The factors of 5269 are 1, 11, 479, 5269
The HCF of 6763,5269 is 1.
Lets's calculate GCF of 6763,5269
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6763,5269 By Matching Biggest Common Factor Method
Now, list down the factors of 6763
:1,6763
Now, list down the factors of 5269
:1,11,479,5269
Greatest Common Factor
We found the factors 6763,5269 . The biggest common factor number is the GCF number.
So the greatest common factor 6763,5269 is 1.
Lets's calculate LCM of 288,4986
| 2 | 288, 4986 |
| 3 | 144, 2493 |
| 3 | 48, 831 |
| 16, 277 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 16 x 277 = 79776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79776
Therefore, the GCF of Fractions 6763/288,5269/4986 is 1/79776
Least Common Multiple of 288,4986 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 288,4986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,4986) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(288,4986) x common factors =18 x 1 = 18
LCM(288,4986) = ( 288 × 4986 ) / 18
LCM(288,4986) = 1435968 / 18
LCM(288,4986) = 79776
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FAQs on GCF of Fractions of 6763/288, 5269/4986
1. What is the HCF of 6763,5269?
The HCF of 6763,5269 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 6763/288, 5269/4986?
Answer: GCF of Numerators as per given numbers 6763/288, 5269/4986 is
GCF of Numerators i.e. for 6763,5269 is 1
LCM of denominators i.e. for 288,4986 is 79776.
Thus, GCF of Fractions is 1/79776.Finally, GCF of Fractions for 6763/288, 5269/4986 is 1/79776.