GCF of 9287/756, 4066/9711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9287/756, 4066/9711 i.e 1/815724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9287/756, 4066/9711.
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 9287/756,4066/9711?
Given fractions are 9287/756,4066/9711
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 9287/756,4066/9711, numerators are 9287,4066
Denominators are 756,9711
The GCF of 9287,4066 is 1 .
LCM of 756,9711 is 815724.
The greatest common factor of 9287/756,4066/9711 = [GCF of 9287,4066]/[LCM of 756,9711]= 1/815724
Therefore, the GCF of 9287/756,4066/9711 is 1/815724.
To find the highest common factor of 9287,4066, we have to find the factors of both numbers and list the highest common factor.
The factors of 9287 are 1, 37, 251, 9287
The factors of 4066 are 1, 2, 19, 38, 107, 214, 2033, 4066
The HCF of 9287,4066 is 1.
Lets's calculate GCF of 9287,4066
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9287,4066 By Matching Biggest Common Factor Method
Now, list down the factors of 9287
:1,37,251,9287
Now, list down the factors of 4066
:1,2,19,38,107,214,2033,4066
Greatest Common Factor
We found the factors 9287,4066 . The biggest common factor number is the GCF number.
So the greatest common factor 9287,4066 is 1.
Lets's calculate LCM of 756,9711
| 3 | 756, 9711 |
| 3 | 252, 3237 |
| 84, 1079 |
∴ So the LCM of the given numbers is 3 x 3 x 84 x 1079 = 815724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/815724
Therefore, the GCF of Fractions 9287/756,4066/9711 is 1/815724
Least Common Multiple of 756,9711 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 756,9711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,9711) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(756,9711) x common factors =9 x 1 = 9
LCM(756,9711) = ( 756 × 9711 ) / 9
LCM(756,9711) = 7341516 / 9
LCM(756,9711) = 815724
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FAQs on GCF of Fractions of 9287/756, 4066/9711
1. What is the HCF of 9287,4066?
The HCF of 9287,4066 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 9287/756, 4066/9711?
Answer: GCF of Numerators as per given numbers 9287/756, 4066/9711 is
GCF of Numerators i.e. for 9287,4066 is 1
LCM of denominators i.e. for 756,9711 is 815724.
Thus, GCF of Fractions is 1/815724.Finally, GCF of Fractions for 9287/756, 4066/9711 is 1/815724.