Use our free GCF of Fractions Calculator tool to compute the GCF of 940/612, 268/358 i.e 4/109548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 940/612, 268/358.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 940/612,268/358
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 940/612,268/358, numerators are 940,268
Denominators are 612,358
The GCF of 940,268 is 4 .
LCM of 612,358 is 109548.
The greatest common factor of 940/612,268/358 = [GCF of 940,268]/[LCM of 612,358]= 4/109548
Therefore, the GCF of 940/612,268/358 is 4/109548.
To find the highest common factor of 940,268, we have to find the factors of both numbers and list the highest common factor.
The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
The factors of 268 are 1, 2, 4, 67, 134, 268
The HCF of 940,268 is 4.
Lets's calculate GCF of 940,268
2 | 940, 268 |
2 | 470, 134 |
235, 67 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 940
:1,2,4,5,10,20,47,94,188,235,470,940
Now, list down the factors of 268
:1,2,4,67,134,268
Greatest Common Factor
We found the factors 940,268 . The biggest common factor number is the GCF number.
So the greatest common factor 940,268 is 4.
Lets's calculate LCM of 612,358
2 | 612, 358 |
306, 179 |
∴ So the LCM of the given numbers is 2 x 306 x 179 = 109548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/109548
Therefore, the GCF of Fractions 940/612,268/358 is 4/109548
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 612,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(612,358) x common factors =2 x 1 = 2
LCM(612,358) = ( 612 × 358 ) / 2
LCM(612,358) = 219096 / 2
LCM(612,358) = 109548
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 940,268?
The HCF of 940,268 is 4
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 940/612, 268/358?
Answer: GCF of Numerators as per given numbers 940/612, 268/358 is
GCF of Numerators i.e. for 940,268 is 4
LCM of denominators i.e. for 612,358 is 109548.
Thus, GCF of Fractions is 4/109548.Finally, GCF of Fractions for 940/612, 268/358 is 4/109548.