GCF of 720/175, 2319/285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 720/175, 2319/285 i.e 3/9975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/175, 2319/285.
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 720/175,2319/285?
Given fractions are 720/175,2319/285
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 720/175,2319/285, numerators are 720,2319
Denominators are 175,285
The GCF of 720,2319 is 3 .
LCM of 175,285 is 9975.
The greatest common factor of 720/175,2319/285 = [GCF of 720,2319]/[LCM of 175,285]= 3/9975
Therefore, the GCF of 720/175,2319/285 is 3/9975.
To find the highest common factor of 720,2319, we have to find the factors of both numbers and list the highest common factor.
The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
The factors of 2319 are 1, 3, 773, 2319
The HCF of 720,2319 is 3.
Lets's calculate GCF of 720,2319
| 3 | 720, 2319 |
| 240, 773 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 720,2319 By Matching Biggest Common Factor Method
Now, list down the factors of 720
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Now, list down the factors of 2319
:1,3,773,2319
Greatest Common Factor
We found the factors 720,2319 . The biggest common factor number is the GCF number.
So the greatest common factor 720,2319 is 3.
Lets's calculate LCM of 175,285
| 5 | 175, 285 |
| 35, 57 |
∴ So the LCM of the given numbers is 5 x 35 x 57 = 9975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9975
Therefore, the GCF of Fractions 720/175,2319/285 is 3/9975
Least Common Multiple of 175,285 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 175,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,285) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(175,285) x common factors =5 x 1 = 5
LCM(175,285) = ( 175 × 285 ) / 5
LCM(175,285) = 49875 / 5
LCM(175,285) = 9975
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 720/175, 2319/285
1. What is the HCF of 720,2319?
The HCF of 720,2319 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 720/175, 2319/285?
Answer: GCF of Numerators as per given numbers 720/175, 2319/285 is
GCF of Numerators i.e. for 720,2319 is 3
LCM of denominators i.e. for 175,285 is 9975.
Thus, GCF of Fractions is 3/9975.Finally, GCF of Fractions for 720/175, 2319/285 is 3/9975.