GCF of 7920/352, 5265/2750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7920/352, 5265/2750 i.e 45/44000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7920/352, 5265/2750.
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 7920/352,5265/2750?
Given fractions are 7920/352,5265/2750
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 7920/352,5265/2750, numerators are 7920,5265
Denominators are 352,2750
The GCF of 7920,5265 is 45 .
LCM of 352,2750 is 44000.
The greatest common factor of 7920/352,5265/2750 = [GCF of 7920,5265]/[LCM of 352,2750]= 45/44000
Therefore, the GCF of 7920/352,5265/2750 is 45/44000.
To find the highest common factor of 7920,5265, we have to find the factors of both numbers and list the highest common factor.
The factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920
The factors of 5265 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265
The HCF of 7920,5265 is 45.
Lets's calculate GCF of 7920,5265
| 3 | 7920, 5265 |
| 3 | 2640, 1755 |
| 5 | 880, 585 |
| 176, 117 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Greatest Common Factor of 7920,5265 By Matching Biggest Common Factor Method
Now, list down the factors of 7920
:1,2,3,4,5,6,8,9,10,11,12,15,16,18,20,22,24,30,33,36,40,44,45,48,55,60,66,72,80,88,90,99,110,120,132,144,165,176,180,198,220,240,264,330,360,396,440,495,528,660,720,792,880,990,1320,1584,1980,2640,3960,7920
Now, list down the factors of 5265
:1,3,5,9,13,15,27,39,45,65,81,117,135,195,351,405,585,1053,1755,5265
Greatest Common Factor
We found the factors 7920,5265 . The biggest common factor number is the GCF number.
So the greatest common factor 7920,5265 is 45.
Lets's calculate LCM of 352,2750
| 2 | 352, 2750 |
| 11 | 176, 1375 |
| 16, 125 |
∴ So the LCM of the given numbers is 2 x 11 x 16 x 125 = 44000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/44000
Therefore, the GCF of Fractions 7920/352,5265/2750 is 45/44000
Least Common Multiple of 352,2750 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 352,2750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,2750) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(352,2750) x common factors =22 x 1 = 22
LCM(352,2750) = ( 352 × 2750 ) / 22
LCM(352,2750) = 968000 / 22
LCM(352,2750) = 44000
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7920/352, 5265/2750
1. What is the HCF of 7920,5265?
The HCF of 7920,5265 is 45
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 7920/352, 5265/2750?
Answer: GCF of Numerators as per given numbers 7920/352, 5265/2750 is
GCF of Numerators i.e. for 7920,5265 is 45
LCM of denominators i.e. for 352,2750 is 44000.
Thus, GCF of Fractions is 45/44000.Finally, GCF of Fractions for 7920/352, 5265/2750 is 45/44000.