GCF of 71/91, 861/35, 108/255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 71/91, 861/35, 108/255 i.e 1/23205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/91, 861/35, 108/255.
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 71/91,861/35,108/255?
Given fractions are 71/91,861/35,108/255
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 71/91,861/35,108/255, numerators are 71,861,108
Denominators are 91,35,255
The GCF of 71,861,108 is 1 .
LCM of 91,35,255 is 23205.
The greatest common factor of 71/91,861/35,108/255 = [GCF of 71,861,108]/[LCM of 91,35,255]= 1/23205
Therefore, the GCF of 71/91,861/35,108/255 is 1/23205.
To find the highest common factor of 71,861,108, we have to find the factors of both numbers and list the highest common factor.
The factors of 71 are 1, 71
The factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861
The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
The HCF of 71,861,108 is 1.
Lets's calculate GCF of 71,861,108
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 71,861,108 By Matching Biggest Common Factor Method
Now, list down the factors of 71
:1,71
Now, list down the factors of 861
:1,3,7,21,41,123,287,861
Now, list down the factors of 108
:1,2,3,4,6,9,12,18,27,36,54,108
Greatest Common Factor
We found the factors 71,861,108 . The biggest common factor number is the GCF number.
So the greatest common factor 71,861,108 is 1.
Lets's calculate LCM of 91,35,255
| 5 | 91, 35, 255 |
| 7 | 91, 7, 51 |
| 13, 1, 51 |
∴ So the LCM of the given numbers is 5 x 7 x 13 x 1 x 51 = 23205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23205
Therefore, the GCF of Fractions 71/91,861/35,108/255 is 1/23205
Least Common Multiple of 91,35,255 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 91,35,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,35,255) = 1
common factors(in case of two or more numbers have common factors) = 35
GCF(91,35,255) x common factors =1 x 35 = 35
LCM(91,35,255) = ( 91 × 35 × 255 ) / 35
LCM(91,35,255) = 812175 / 35
LCM(91,35,255) = 23205
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FAQs on GCF of Fractions of 71/91, 861/35, 108/255
1. What is the HCF of 71,861,108?
The HCF of 71,861,108 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 71/91, 861/35, 108/255?
Answer: GCF of Numerators as per given numbers 71/91, 861/35, 108/255 is
GCF of Numerators i.e. for 71,861,108 is 1
LCM of denominators i.e. for 91,35,255 is 23205.
Thus, GCF of Fractions is 1/23205.Finally, GCF of Fractions for 71/91, 861/35, 108/255 is 1/23205.