Use our free GCF of Fractions Calculator tool to compute the GCF of 92/285, 460/630, 437/286 i.e 23/1711710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/285, 460/630, 437/286.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/285,460/630,437/286
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 92/285,460/630,437/286, numerators are 92,460,437
Denominators are 285,630,286
The GCF of 92,460,437 is 23 .
LCM of 285,630,286 is 1711710.
The greatest common factor of 92/285,460/630,437/286 = [GCF of 92,460,437]/[LCM of 285,630,286]= 23/1711710
Therefore, the GCF of 92/285,460/630,437/286 is 23/1711710.
To find the highest common factor of 92,460,437, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
The factors of 437 are 1, 19, 23, 437
The HCF of 92,460,437 is 23.
Lets's calculate GCF of 92,460,437
23 | 92, 460, 437 |
4, 20, 19 |
∴ So the GCF of the given numbers is 23 = 23
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 460
:1,2,4,5,10,20,23,46,92,115,230,460
Now, list down the factors of 437
:1,19,23,437
Greatest Common Factor
We found the factors 92,460,437 . The biggest common factor number is the GCF number.
So the greatest common factor 92,460,437 is 23.
Lets's calculate LCM of 285,630,286
2 | 285, 630, 286 |
3 | 285, 315, 143 |
5 | 95, 105, 143 |
19, 21, 143 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 19 x 21 x 143 = 1711710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/1711710
Therefore, the GCF of Fractions 92/285,460/630,437/286 is 23/1711710
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 285,630,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,630,286) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(285,630,286) x common factors =1 x 30 = 30
LCM(285,630,286) = ( 285 × 630 × 286 ) / 30
LCM(285,630,286) = 51351300 / 30
LCM(285,630,286) = 1711710
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 92,460,437?
The HCF of 92,460,437 is 23
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 92/285, 460/630, 437/286?
Answer: GCF of Numerators as per given numbers 92/285, 460/630, 437/286 is
GCF of Numerators i.e. for 92,460,437 is 23
LCM of denominators i.e. for 285,630,286 is 1711710.
Thus, GCF of Fractions is 23/1711710.Finally, GCF of Fractions for 92/285, 460/630, 437/286 is 23/1711710.