Use our free GCF of Fractions Calculator tool to compute the GCF of 86/54, 230/17, 874/506 i.e 2/232254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/54, 230/17, 874/506.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/54,230/17,874/506
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 86/54,230/17,874/506, numerators are 86,230,874
Denominators are 54,17,506
The GCF of 86,230,874 is 2 .
LCM of 54,17,506 is 232254.
The greatest common factor of 86/54,230/17,874/506 = [GCF of 86,230,874]/[LCM of 54,17,506]= 2/232254
Therefore, the GCF of 86/54,230/17,874/506 is 2/232254.
To find the highest common factor of 86,230,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 86,230,874 is 2.
Lets's calculate GCF of 86,230,874
2 | 86, 230, 874 |
43, 115, 437 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 230
:1,2,5,10,23,46,115,230
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 86,230,874 . The biggest common factor number is the GCF number.
So the greatest common factor 86,230,874 is 2.
Lets's calculate LCM of 54,17,506
2 | 54, 17, 506 |
27, 17, 253 |
∴ So the LCM of the given numbers is 2 x 27 x 17 x 253 = 232254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/232254
Therefore, the GCF of Fractions 86/54,230/17,874/506 is 2/232254
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 54,17,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,17,506) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(54,17,506) x common factors =1 x 2 = 2
LCM(54,17,506) = ( 54 × 17 × 506 ) / 2
LCM(54,17,506) = 464508 / 2
LCM(54,17,506) = 232254
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 86,230,874?
The HCF of 86,230,874 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 86/54, 230/17, 874/506?
Answer: GCF of Numerators as per given numbers 86/54, 230/17, 874/506 is
GCF of Numerators i.e. for 86,230,874 is 2
LCM of denominators i.e. for 54,17,506 is 232254.
Thus, GCF of Fractions is 2/232254.Finally, GCF of Fractions for 86/54, 230/17, 874/506 is 2/232254.