GCF of 5265/90, 1323/705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5265/90, 1323/705 i.e 27/4230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5265/90, 1323/705.
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 5265/90,1323/705?
Given fractions are 5265/90,1323/705
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 5265/90,1323/705, numerators are 5265,1323
Denominators are 90,705
The GCF of 5265,1323 is 27 .
LCM of 90,705 is 4230.
The greatest common factor of 5265/90,1323/705 = [GCF of 5265,1323]/[LCM of 90,705]= 27/4230
Therefore, the GCF of 5265/90,1323/705 is 27/4230.
To find the highest common factor of 5265,1323, we have to find the factors of both numbers and list the highest common factor.
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 factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323
The HCF of 5265,1323 is 27.
Lets's calculate GCF of 5265,1323
| 3 | 5265, 1323 |
| 3 | 1755, 441 |
| 3 | 585, 147 |
| 195, 49 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 5265,1323 By Matching Biggest Common Factor Method
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
Now, list down the factors of 1323
:1,3,7,9,21,27,49,63,147,189,441,1323
Greatest Common Factor
We found the factors 5265,1323 . The biggest common factor number is the GCF number.
So the greatest common factor 5265,1323 is 27.
Lets's calculate LCM of 90,705
| 3 | 90, 705 |
| 5 | 30, 235 |
| 6, 47 |
∴ So the LCM of the given numbers is 3 x 5 x 6 x 47 = 4230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/4230
Therefore, the GCF of Fractions 5265/90,1323/705 is 27/4230
Least Common Multiple of 90,705 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 90,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,705) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(90,705) x common factors =15 x 1 = 15
LCM(90,705) = ( 90 × 705 ) / 15
LCM(90,705) = 63450 / 15
LCM(90,705) = 4230
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5265/90, 1323/705
1. What is the HCF of 5265,1323?
The HCF of 5265,1323 is 27
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 5265/90, 1323/705?
Answer: GCF of Numerators as per given numbers 5265/90, 1323/705 is
GCF of Numerators i.e. for 5265,1323 is 27
LCM of denominators i.e. for 90,705 is 4230.
Thus, GCF of Fractions is 27/4230.Finally, GCF of Fractions for 5265/90, 1323/705 is 27/4230.