GCF of 8337/292, 9783/7926
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8337/292, 9783/7926 i.e 3/1157196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8337/292, 9783/7926.
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 8337/292,9783/7926?
Given fractions are 8337/292,9783/7926
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 8337/292,9783/7926, numerators are 8337,9783
Denominators are 292,7926
The GCF of 8337,9783 is 3 .
LCM of 292,7926 is 1157196.
The greatest common factor of 8337/292,9783/7926 = [GCF of 8337,9783]/[LCM of 292,7926]= 3/1157196
Therefore, the GCF of 8337/292,9783/7926 is 3/1157196.
To find the highest common factor of 8337,9783, we have to find the factors of both numbers and list the highest common factor.
The factors of 8337 are 1, 3, 7, 21, 397, 1191, 2779, 8337
The factors of 9783 are 1, 3, 9, 1087, 3261, 9783
The HCF of 8337,9783 is 3.
Lets's calculate GCF of 8337,9783
| 3 | 8337, 9783 |
| 2779, 3261 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8337,9783 By Matching Biggest Common Factor Method
Now, list down the factors of 8337
:1,3,7,21,397,1191,2779,8337
Now, list down the factors of 9783
:1,3,9,1087,3261,9783
Greatest Common Factor
We found the factors 8337,9783 . The biggest common factor number is the GCF number.
So the greatest common factor 8337,9783 is 3.
Lets's calculate LCM of 292,7926
| 2 | 292, 7926 |
| 146, 3963 |
∴ So the LCM of the given numbers is 2 x 146 x 3963 = 1157196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1157196
Therefore, the GCF of Fractions 8337/292,9783/7926 is 3/1157196
Least Common Multiple of 292,7926 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 292,7926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,7926) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(292,7926) x common factors =2 x 1 = 2
LCM(292,7926) = ( 292 × 7926 ) / 2
LCM(292,7926) = 2314392 / 2
LCM(292,7926) = 1157196
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8337/292, 9783/7926
1. What is the HCF of 8337,9783?
The HCF of 8337,9783 is 3
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 8337/292, 9783/7926?
Answer: GCF of Numerators as per given numbers 8337/292, 9783/7926 is
GCF of Numerators i.e. for 8337,9783 is 3
LCM of denominators i.e. for 292,7926 is 1157196.
Thus, GCF of Fractions is 3/1157196.Finally, GCF of Fractions for 8337/292, 9783/7926 is 3/1157196.