GCF of 82/506, 96/372, 926/393
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 82/506, 96/372, 926/393 i.e 2/12329196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/506, 96/372, 926/393.
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 82/506,96/372,926/393?
Given fractions are 82/506,96/372,926/393
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 82/506,96/372,926/393, numerators are 82,96,926
Denominators are 506,372,393
The GCF of 82,96,926 is 2 .
LCM of 506,372,393 is 12329196.
The greatest common factor of 82/506,96/372,926/393 = [GCF of 82,96,926]/[LCM of 506,372,393]= 2/12329196
Therefore, the GCF of 82/506,96/372,926/393 is 2/12329196.
To find the highest common factor of 82,96,926, 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 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 926 are 1, 2, 463, 926
The HCF of 82,96,926 is 2.
Lets's calculate GCF of 82,96,926
| 2 | 82, 96, 926 |
| 41, 48, 463 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 82,96,926 By Matching Biggest Common Factor Method
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 926
:1,2,463,926
Greatest Common Factor
We found the factors 82,96,926 . The biggest common factor number is the GCF number.
So the greatest common factor 82,96,926 is 2.
Lets's calculate LCM of 506,372,393
| 2 | 506, 372, 393 |
| 3 | 253, 186, 393 |
| 253, 62, 131 |
∴ So the LCM of the given numbers is 2 x 3 x 253 x 62 x 131 = 12329196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12329196
Therefore, the GCF of Fractions 82/506,96/372,926/393 is 2/12329196
Least Common Multiple of 506,372,393 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 506,372,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,372,393) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(506,372,393) x common factors =1 x 6 = 6
LCM(506,372,393) = ( 506 × 372 × 393 ) / 6
LCM(506,372,393) = 73975176 / 6
LCM(506,372,393) = 12329196
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 82/506, 96/372, 926/393
1. What is the HCF of 82,96,926?
The HCF of 82,96,926 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 82/506, 96/372, 926/393?
Answer: GCF of Numerators as per given numbers 82/506, 96/372, 926/393 is
GCF of Numerators i.e. for 82,96,926 is 2
LCM of denominators i.e. for 506,372,393 is 12329196.
Thus, GCF of Fractions is 2/12329196.Finally, GCF of Fractions for 82/506, 96/372, 926/393 is 2/12329196.