GCF of 13/91, 816/68, 323/576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 13/91, 816/68, 323/576 i.e 1/891072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/91, 816/68, 323/576.
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 13/91,816/68,323/576?
Given fractions are 13/91,816/68,323/576
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 13/91,816/68,323/576, numerators are 13,816,323
Denominators are 91,68,576
The GCF of 13,816,323 is 1 .
LCM of 91,68,576 is 891072.
The greatest common factor of 13/91,816/68,323/576 = [GCF of 13,816,323]/[LCM of 91,68,576]= 1/891072
Therefore, the GCF of 13/91,816/68,323/576 is 1/891072.
To find the highest common factor of 13,816,323, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
The factors of 323 are 1, 17, 19, 323
The HCF of 13,816,323 is 1.
Lets's calculate GCF of 13,816,323
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 13,816,323 By Matching Biggest Common Factor Method
Now, list down the factors of 13
:1,13
Now, list down the factors of 816
:1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Now, list down the factors of 323
:1,17,19,323
Greatest Common Factor
We found the factors 13,816,323 . The biggest common factor number is the GCF number.
So the greatest common factor 13,816,323 is 1.
Lets's calculate LCM of 91,68,576
| 2 | 91, 68, 576 |
| 2 | 91, 34, 288 |
| 91, 17, 144 |
∴ So the LCM of the given numbers is 2 x 2 x 91 x 17 x 144 = 891072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/891072
Therefore, the GCF of Fractions 13/91,816/68,323/576 is 1/891072
Least Common Multiple of 91,68,576 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 91,68,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,68,576) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(91,68,576) x common factors =1 x 4 = 4
LCM(91,68,576) = ( 91 × 68 × 576 ) / 4
LCM(91,68,576) = 3564288 / 4
LCM(91,68,576) = 891072
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FAQs on GCF of Fractions of 13/91, 816/68, 323/576
1. What is the HCF of 13,816,323?
The HCF of 13,816,323 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 13/91, 816/68, 323/576?
Answer: GCF of Numerators as per given numbers 13/91, 816/68, 323/576 is
GCF of Numerators i.e. for 13,816,323 is 1
LCM of denominators i.e. for 91,68,576 is 891072.
Thus, GCF of Fractions is 1/891072.Finally, GCF of Fractions for 13/91, 816/68, 323/576 is 1/891072.