GCF of 82/28, 296/17, 318/292
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 82/28, 296/17, 318/292 i.e 2/34748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/28, 296/17, 318/292.
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 82/28,296/17,318/292?
Given fractions are 82/28,296/17,318/292
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 82/28,296/17,318/292, numerators are 82,296,318
Denominators are 28,17,292
The GCF of 82,296,318 is 2 .
LCM of 28,17,292 is 34748.
The greatest common factor of 82/28,296/17,318/292 = [GCF of 82,296,318]/[LCM of 28,17,292]= 2/34748
Therefore, the GCF of 82/28,296/17,318/292 is 2/34748.
To find the highest common factor of 82,296,318, we have to find the factors of both numbers and list the highest common factor.
The factors of 82 are 1, 2, 41, 82
The factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The HCF of 82,296,318 is 2.
Lets's calculate GCF of 82,296,318
| 2 | 82, 296, 318 |
| 41, 148, 159 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 82,296,318 By Matching Biggest Common Factor Method
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 296
:1,2,4,8,37,74,148,296
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 82,296,318 . The biggest common factor number is the GCF number.
So the greatest common factor 82,296,318 is 2.
Lets's calculate LCM of 28,17,292
| 2 | 28, 17, 292 |
| 2 | 14, 17, 146 |
| 7, 17, 73 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 17 x 73 = 34748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34748
Therefore, the GCF of Fractions 82/28,296/17,318/292 is 2/34748
Least Common Multiple of 28,17,292 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 28,17,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,17,292) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(28,17,292) x common factors =1 x 4 = 4
LCM(28,17,292) = ( 28 × 17 × 292 ) / 4
LCM(28,17,292) = 138992 / 4
LCM(28,17,292) = 34748
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 82/28, 296/17, 318/292
1. What is the HCF of 82,296,318?
The HCF of 82,296,318 is 2
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 82/28, 296/17, 318/292?
Answer: GCF of Numerators as per given numbers 82/28, 296/17, 318/292 is
GCF of Numerators i.e. for 82,296,318 is 2
LCM of denominators i.e. for 28,17,292 is 34748.
Thus, GCF of Fractions is 2/34748.Finally, GCF of Fractions for 82/28, 296/17, 318/292 is 2/34748.