GCF of 9340/382, 5280/2416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9340/382, 5280/2416 i.e 20/461456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9340/382, 5280/2416.
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 9340/382,5280/2416?
Given fractions are 9340/382,5280/2416
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 9340/382,5280/2416, numerators are 9340,5280
Denominators are 382,2416
The GCF of 9340,5280 is 20 .
LCM of 382,2416 is 461456.
The greatest common factor of 9340/382,5280/2416 = [GCF of 9340,5280]/[LCM of 382,2416]= 20/461456
Therefore, the GCF of 9340/382,5280/2416 is 20/461456.
To find the highest common factor of 9340,5280, we have to find the factors of both numbers and list the highest common factor.
The factors of 9340 are 1, 2, 4, 5, 10, 20, 467, 934, 1868, 2335, 4670, 9340
The factors of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280
The HCF of 9340,5280 is 20.
Lets's calculate GCF of 9340,5280
| 2 | 9340, 5280 |
| 2 | 4670, 2640 |
| 5 | 2335, 1320 |
| 467, 264 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 9340,5280 By Matching Biggest Common Factor Method
Now, list down the factors of 9340
:1,2,4,5,10,20,467,934,1868,2335,4670,9340
Now, list down the factors of 5280
:1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,32,33,40,44,48,55,60,66,80,88,96,110,120,132,160,165,176,220,240,264,330,352,440,480,528,660,880,1056,1320,1760,2640,5280
Greatest Common Factor
We found the factors 9340,5280 . The biggest common factor number is the GCF number.
So the greatest common factor 9340,5280 is 20.
Lets's calculate LCM of 382,2416
| 2 | 382, 2416 |
| 191, 1208 |
∴ So the LCM of the given numbers is 2 x 191 x 1208 = 461456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/461456
Therefore, the GCF of Fractions 9340/382,5280/2416 is 20/461456
Least Common Multiple of 382,2416 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 382,2416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,2416) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,2416) x common factors =2 x 1 = 2
LCM(382,2416) = ( 382 × 2416 ) / 2
LCM(382,2416) = 922912 / 2
LCM(382,2416) = 461456
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9340/382, 5280/2416
1. What is the HCF of 9340,5280?
The HCF of 9340,5280 is 20
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 9340/382, 5280/2416?
Answer: GCF of Numerators as per given numbers 9340/382, 5280/2416 is
GCF of Numerators i.e. for 9340,5280 is 20
LCM of denominators i.e. for 382,2416 is 461456.
Thus, GCF of Fractions is 20/461456.Finally, GCF of Fractions for 9340/382, 5280/2416 is 20/461456.