GCF of 2295/416, 4071/612
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2295/416, 4071/612 i.e 3/63648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2295/416, 4071/612.
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 2295/416,4071/612?
Given fractions are 2295/416,4071/612
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 2295/416,4071/612, numerators are 2295,4071
Denominators are 416,612
The GCF of 2295,4071 is 3 .
LCM of 416,612 is 63648.
The greatest common factor of 2295/416,4071/612 = [GCF of 2295,4071]/[LCM of 416,612]= 3/63648
Therefore, the GCF of 2295/416,4071/612 is 3/63648.
To find the highest common factor of 2295,4071, we have to find the factors of both numbers and list the highest common factor.
The factors of 2295 are 1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 459, 765, 2295
The factors of 4071 are 1, 3, 23, 59, 69, 177, 1357, 4071
The HCF of 2295,4071 is 3.
Lets's calculate GCF of 2295,4071
| 3 | 2295, 4071 |
| 765, 1357 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2295,4071 By Matching Biggest Common Factor Method
Now, list down the factors of 2295
:1,3,5,9,15,17,27,45,51,85,135,153,255,459,765,2295
Now, list down the factors of 4071
:1,3,23,59,69,177,1357,4071
Greatest Common Factor
We found the factors 2295,4071 . The biggest common factor number is the GCF number.
So the greatest common factor 2295,4071 is 3.
Lets's calculate LCM of 416,612
| 2 | 416, 612 |
| 2 | 208, 306 |
| 104, 153 |
∴ So the LCM of the given numbers is 2 x 2 x 104 x 153 = 63648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/63648
Therefore, the GCF of Fractions 2295/416,4071/612 is 3/63648
Least Common Multiple of 416,612 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 416,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,612) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(416,612) x common factors =4 x 1 = 4
LCM(416,612) = ( 416 × 612 ) / 4
LCM(416,612) = 254592 / 4
LCM(416,612) = 63648
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2295/416, 4071/612
1. What is the HCF of 2295,4071?
The HCF of 2295,4071 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 2295/416, 4071/612?
Answer: GCF of Numerators as per given numbers 2295/416, 4071/612 is
GCF of Numerators i.e. for 2295,4071 is 3
LCM of denominators i.e. for 416,612 is 63648.
Thus, GCF of Fractions is 3/63648.Finally, GCF of Fractions for 2295/416, 4071/612 is 3/63648.