GCF of 9378/788, 2115/2096
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9378/788, 2115/2096 i.e 9/412912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9378/788, 2115/2096.
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 9378/788,2115/2096?
Given fractions are 9378/788,2115/2096
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 9378/788,2115/2096, numerators are 9378,2115
Denominators are 788,2096
The GCF of 9378,2115 is 9 .
LCM of 788,2096 is 412912.
The greatest common factor of 9378/788,2115/2096 = [GCF of 9378,2115]/[LCM of 788,2096]= 9/412912
Therefore, the GCF of 9378/788,2115/2096 is 9/412912.
To find the highest common factor of 9378,2115, we have to find the factors of both numbers and list the highest common factor.
The factors of 9378 are 1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689, 9378
The factors of 2115 are 1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705, 2115
The HCF of 9378,2115 is 9.
Lets's calculate GCF of 9378,2115
| 3 | 9378, 2115 |
| 3 | 3126, 705 |
| 1042, 235 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 9378,2115 By Matching Biggest Common Factor Method
Now, list down the factors of 9378
:1,2,3,6,9,18,521,1042,1563,3126,4689,9378
Now, list down the factors of 2115
:1,3,5,9,15,45,47,141,235,423,705,2115
Greatest Common Factor
We found the factors 9378,2115 . The biggest common factor number is the GCF number.
So the greatest common factor 9378,2115 is 9.
Lets's calculate LCM of 788,2096
| 2 | 788, 2096 |
| 2 | 394, 1048 |
| 197, 524 |
∴ So the LCM of the given numbers is 2 x 2 x 197 x 524 = 412912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/412912
Therefore, the GCF of Fractions 9378/788,2115/2096 is 9/412912
Least Common Multiple of 788,2096 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 788,2096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,2096) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(788,2096) x common factors =4 x 1 = 4
LCM(788,2096) = ( 788 × 2096 ) / 4
LCM(788,2096) = 1651648 / 4
LCM(788,2096) = 412912
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9378/788, 2115/2096
1. What is the HCF of 9378,2115?
The HCF of 9378,2115 is 9
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 9378/788, 2115/2096?
Answer: GCF of Numerators as per given numbers 9378/788, 2115/2096 is
GCF of Numerators i.e. for 9378,2115 is 9
LCM of denominators i.e. for 788,2096 is 412912.
Thus, GCF of Fractions is 9/412912.Finally, GCF of Fractions for 9378/788, 2115/2096 is 9/412912.