GCF of 2795/270, 4447/8640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2795/270, 4447/8640 i.e 1/8640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2795/270, 4447/8640.
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 2795/270,4447/8640?
Given fractions are 2795/270,4447/8640
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 2795/270,4447/8640, numerators are 2795,4447
Denominators are 270,8640
The GCF of 2795,4447 is 1 .
LCM of 270,8640 is 8640.
The greatest common factor of 2795/270,4447/8640 = [GCF of 2795,4447]/[LCM of 270,8640]= 1/8640
Therefore, the GCF of 2795/270,4447/8640 is 1/8640.
To find the highest common factor of 2795,4447, we have to find the factors of both numbers and list the highest common factor.
The factors of 2795 are 1, 5, 13, 43, 65, 215, 559, 2795
The factors of 4447 are 1, 4447
The HCF of 2795,4447 is 1.
Lets's calculate GCF of 2795,4447
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2795,4447 By Matching Biggest Common Factor Method
Now, list down the factors of 2795
:1,5,13,43,65,215,559,2795
Now, list down the factors of 4447
:1,4447
Greatest Common Factor
We found the factors 2795,4447 . The biggest common factor number is the GCF number.
So the greatest common factor 2795,4447 is 1.
Lets's calculate LCM of 270,8640
| 2 | 270, 8640 |
| 3 | 135, 4320 |
| 3 | 45, 1440 |
| 3 | 15, 480 |
| 5 | 5, 160 |
| 1, 32 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 1 x 32 = 8640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8640
Therefore, the GCF of Fractions 2795/270,4447/8640 is 1/8640
Least Common Multiple of 270,8640 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 270,8640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,8640) = 270
common factors(in case of two or more numbers have common factors) = 1
GCF(270,8640) x common factors =270 x 1 = 270
LCM(270,8640) = ( 270 × 8640 ) / 270
LCM(270,8640) = 2332800 / 270
LCM(270,8640) = 8640
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FAQs on GCF of Fractions of 2795/270, 4447/8640
1. What is the HCF of 2795,4447?
The HCF of 2795,4447 is 1
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 2795/270, 4447/8640?
Answer: GCF of Numerators as per given numbers 2795/270, 4447/8640 is
GCF of Numerators i.e. for 2795,4447 is 1
LCM of denominators i.e. for 270,8640 is 8640.
Thus, GCF of Fractions is 1/8640.Finally, GCF of Fractions for 2795/270, 4447/8640 is 1/8640.