GCF of 4247/477, 8768/9449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4247/477, 8768/9449 i.e 137/4507173 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4247/477, 8768/9449.
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 4247/477,8768/9449?
Given fractions are 4247/477,8768/9449
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 4247/477,8768/9449, numerators are 4247,8768
Denominators are 477,9449
The GCF of 4247,8768 is 137 .
LCM of 477,9449 is 4507173.
The greatest common factor of 4247/477,8768/9449 = [GCF of 4247,8768]/[LCM of 477,9449]= 137/4507173
Therefore, the GCF of 4247/477,8768/9449 is 137/4507173.
To find the highest common factor of 4247,8768, we have to find the factors of both numbers and list the highest common factor.
The factors of 4247 are 1, 31, 137, 4247
The factors of 8768 are 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768
The HCF of 4247,8768 is 137.
Lets's calculate GCF of 4247,8768
| 137 | 4247, 8768 |
| 31, 64 |
∴ So the GCF of the given numbers is 137 = 137
Greatest Common Factor of 4247,8768 By Matching Biggest Common Factor Method
Now, list down the factors of 4247
:1,31,137,4247
Now, list down the factors of 8768
:1,2,4,8,16,32,64,137,274,548,1096,2192,4384,8768
Greatest Common Factor
We found the factors 4247,8768 . The biggest common factor number is the GCF number.
So the greatest common factor 4247,8768 is 137.
Lets's calculate LCM of 477,9449
Given numbers has no common factors except 1. So, there LCM is their product i.e 4507173
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 137/4507173
Therefore, the GCF of Fractions 4247/477,8768/9449 is 137/4507173
Least Common Multiple of 477,9449 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 477,9449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,9449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(477,9449) x common factors =1 x 1 = 1
LCM(477,9449) = ( 477 × 9449 ) / 1
LCM(477,9449) = 4507173 / 1
LCM(477,9449) = 4507173
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FAQs on GCF of Fractions of 4247/477, 8768/9449
1. What is the HCF of 4247,8768?
The HCF of 4247,8768 is 137
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 4247/477, 8768/9449?
Answer: GCF of Numerators as per given numbers 4247/477, 8768/9449 is
GCF of Numerators i.e. for 4247,8768 is 137
LCM of denominators i.e. for 477,9449 is 4507173.
Thus, GCF of Fractions is 137/4507173.Finally, GCF of Fractions for 4247/477, 8768/9449 is 137/4507173.