GCF of 5929/378, 8775/292
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5929/378, 8775/292 i.e 1/55188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5929/378, 8775/292.
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 5929/378,8775/292?
Given fractions are 5929/378,8775/292
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 5929/378,8775/292, numerators are 5929,8775
Denominators are 378,292
The GCF of 5929,8775 is 1 .
LCM of 378,292 is 55188.
The greatest common factor of 5929/378,8775/292 = [GCF of 5929,8775]/[LCM of 378,292]= 1/55188
Therefore, the GCF of 5929/378,8775/292 is 1/55188.
To find the highest common factor of 5929,8775, we have to find the factors of both numbers and list the highest common factor.
The factors of 5929 are 1, 7, 11, 49, 77, 121, 539, 847, 5929
The factors of 8775 are 1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 117, 135, 195, 225, 325, 351, 585, 675, 975, 1755, 2925, 8775
The HCF of 5929,8775 is 1.
Lets's calculate GCF of 5929,8775
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5929,8775 By Matching Biggest Common Factor Method
Now, list down the factors of 5929
:1,7,11,49,77,121,539,847,5929
Now, list down the factors of 8775
:1,3,5,9,13,15,25,27,39,45,65,75,117,135,195,225,325,351,585,675,975,1755,2925,8775
Greatest Common Factor
We found the factors 5929,8775 . The biggest common factor number is the GCF number.
So the greatest common factor 5929,8775 is 1.
Lets's calculate LCM of 378,292
| 2 | 378, 292 |
| 189, 146 |
∴ So the LCM of the given numbers is 2 x 189 x 146 = 55188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55188
Therefore, the GCF of Fractions 5929/378,8775/292 is 1/55188
Least Common Multiple of 378,292 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 378,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,292) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(378,292) x common factors =2 x 1 = 2
LCM(378,292) = ( 378 × 292 ) / 2
LCM(378,292) = 110376 / 2
LCM(378,292) = 55188
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5929/378, 8775/292
1. What is the HCF of 5929,8775?
The HCF of 5929,8775 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 5929/378, 8775/292?
Answer: GCF of Numerators as per given numbers 5929/378, 8775/292 is
GCF of Numerators i.e. for 5929,8775 is 1
LCM of denominators i.e. for 378,292 is 55188.
Thus, GCF of Fractions is 1/55188.Finally, GCF of Fractions for 5929/378, 8775/292 is 1/55188.