GCF of 9422/588, 4779/7886
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9422/588, 4779/7886 i.e 1/2318484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9422/588, 4779/7886.
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 9422/588,4779/7886?
Given fractions are 9422/588,4779/7886
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 9422/588,4779/7886, numerators are 9422,4779
Denominators are 588,7886
The GCF of 9422,4779 is 1 .
LCM of 588,7886 is 2318484.
The greatest common factor of 9422/588,4779/7886 = [GCF of 9422,4779]/[LCM of 588,7886]= 1/2318484
Therefore, the GCF of 9422/588,4779/7886 is 1/2318484.
To find the highest common factor of 9422,4779, we have to find the factors of both numbers and list the highest common factor.
The factors of 9422 are 1, 2, 7, 14, 673, 1346, 4711, 9422
The factors of 4779 are 1, 3, 9, 27, 59, 81, 177, 531, 1593, 4779
The HCF of 9422,4779 is 1.
Lets's calculate GCF of 9422,4779
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9422,4779 By Matching Biggest Common Factor Method
Now, list down the factors of 9422
:1,2,7,14,673,1346,4711,9422
Now, list down the factors of 4779
:1,3,9,27,59,81,177,531,1593,4779
Greatest Common Factor
We found the factors 9422,4779 . The biggest common factor number is the GCF number.
So the greatest common factor 9422,4779 is 1.
Lets's calculate LCM of 588,7886
| 2 | 588, 7886 |
| 294, 3943 |
∴ So the LCM of the given numbers is 2 x 294 x 3943 = 2318484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2318484
Therefore, the GCF of Fractions 9422/588,4779/7886 is 1/2318484
Least Common Multiple of 588,7886 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 588,7886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,7886) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(588,7886) x common factors =2 x 1 = 2
LCM(588,7886) = ( 588 × 7886 ) / 2
LCM(588,7886) = 4636968 / 2
LCM(588,7886) = 2318484
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9422/588, 4779/7886
1. What is the HCF of 9422,4779?
The HCF of 9422,4779 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 9422/588, 4779/7886?
Answer: GCF of Numerators as per given numbers 9422/588, 4779/7886 is
GCF of Numerators i.e. for 9422,4779 is 1
LCM of denominators i.e. for 588,7886 is 2318484.
Thus, GCF of Fractions is 1/2318484.Finally, GCF of Fractions for 9422/588, 4779/7886 is 1/2318484.