GCF of 271/10, 680/24, 255/80
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 271/10, 680/24, 255/80 i.e 1/240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 271/10, 680/24, 255/80.
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 271/10,680/24,255/80?
Given fractions are 271/10,680/24,255/80
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 271/10,680/24,255/80, numerators are 271,680,255
Denominators are 10,24,80
The GCF of 271,680,255 is 1 .
LCM of 10,24,80 is 240.
The greatest common factor of 271/10,680/24,255/80 = [GCF of 271,680,255]/[LCM of 10,24,80]= 1/240
Therefore, the GCF of 271/10,680/24,255/80 is 1/240.
To find the highest common factor of 271,680,255, we have to find the factors of both numbers and list the highest common factor.
The factors of 271 are 1, 271
The factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255
The HCF of 271,680,255 is 1.
Lets's calculate GCF of 271,680,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 271,680,255 By Matching Biggest Common Factor Method
Now, list down the factors of 271
:1,271
Now, list down the factors of 680
:1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Now, list down the factors of 255
:1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 271,680,255 . The biggest common factor number is the GCF number.
So the greatest common factor 271,680,255 is 1.
Lets's calculate LCM of 10,24,80
| 2 | 10, 24, 80 |
| 2 | 5, 12, 40 |
| 2 | 5, 6, 20 |
| 5 | 5, 3, 10 |
| 1, 3, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 3 x 2 = 240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240
Therefore, the GCF of Fractions 271/10,680/24,255/80 is 1/240
Least Common Multiple of 10,24,80 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 10,24,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,24,80) = 2
common factors(in case of two or more numbers have common factors) = 40
GCF(10,24,80) x common factors =2 x 40 = 80
LCM(10,24,80) = ( 10 × 24 × 80 ) / 80
LCM(10,24,80) = 19200 / 80
LCM(10,24,80) = 240
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FAQs on GCF of Fractions of 271/10, 680/24, 255/80
1. What is the HCF of 271,680,255?
The HCF of 271,680,255 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 271/10, 680/24, 255/80?
Answer: GCF of Numerators as per given numbers 271/10, 680/24, 255/80 is
GCF of Numerators i.e. for 271,680,255 is 1
LCM of denominators i.e. for 10,24,80 is 240.
Thus, GCF of Fractions is 1/240.Finally, GCF of Fractions for 271/10, 680/24, 255/80 is 1/240.