GCF of 9934/487, 6783/4782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9934/487, 6783/4782 i.e 1/2328834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9934/487, 6783/4782.
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 9934/487,6783/4782?
Given fractions are 9934/487,6783/4782
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 9934/487,6783/4782, numerators are 9934,6783
Denominators are 487,4782
The GCF of 9934,6783 is 1 .
LCM of 487,4782 is 2328834.
The greatest common factor of 9934/487,6783/4782 = [GCF of 9934,6783]/[LCM of 487,4782]= 1/2328834
Therefore, the GCF of 9934/487,6783/4782 is 1/2328834.
To find the highest common factor of 9934,6783, we have to find the factors of both numbers and list the highest common factor.
The factors of 9934 are 1, 2, 4967, 9934
The factors of 6783 are 1, 3, 7, 17, 19, 21, 51, 57, 119, 133, 323, 357, 399, 969, 2261, 6783
The HCF of 9934,6783 is 1.
Lets's calculate GCF of 9934,6783
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9934,6783 By Matching Biggest Common Factor Method
Now, list down the factors of 9934
:1,2,4967,9934
Now, list down the factors of 6783
:1,3,7,17,19,21,51,57,119,133,323,357,399,969,2261,6783
Greatest Common Factor
We found the factors 9934,6783 . The biggest common factor number is the GCF number.
So the greatest common factor 9934,6783 is 1.
Lets's calculate LCM of 487,4782
Given numbers has no common factors except 1. So, there LCM is their product i.e 2328834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2328834
Therefore, the GCF of Fractions 9934/487,6783/4782 is 1/2328834
Least Common Multiple of 487,4782 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 487,4782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,4782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,4782) x common factors =1 x 1 = 1
LCM(487,4782) = ( 487 × 4782 ) / 1
LCM(487,4782) = 2328834 / 1
LCM(487,4782) = 2328834
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9934/487, 6783/4782
1. What is the HCF of 9934,6783?
The HCF of 9934,6783 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 9934/487, 6783/4782?
Answer: GCF of Numerators as per given numbers 9934/487, 6783/4782 is
GCF of Numerators i.e. for 9934,6783 is 1
LCM of denominators i.e. for 487,4782 is 2328834.
Thus, GCF of Fractions is 1/2328834.Finally, GCF of Fractions for 9934/487, 6783/4782 is 1/2328834.