Use our free GCF of Fractions Calculator tool to compute the GCF of 355/428, 109/304 i.e 1/32528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 355/428, 109/304.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 355/428,109/304
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 355/428,109/304, numerators are 355,109
Denominators are 428,304
The GCF of 355,109 is 1 .
LCM of 428,304 is 32528.
The greatest common factor of 355/428,109/304 = [GCF of 355,109]/[LCM of 428,304]= 1/32528
Therefore, the GCF of 355/428,109/304 is 1/32528.
To find the highest common factor of 355,109, we have to find the factors of both numbers and list the highest common factor.
The factors of 355 are 1, 5, 71, 355
The factors of 109 are 1, 109
The HCF of 355,109 is 1.
Lets's calculate GCF of 355,109
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 355
:1,5,71,355
Now, list down the factors of 109
:1,109
Greatest Common Factor
We found the factors 355,109 . The biggest common factor number is the GCF number.
So the greatest common factor 355,109 is 1.
Lets's calculate LCM of 428,304
2 | 428, 304 |
2 | 214, 152 |
107, 76 |
∴ So the LCM of the given numbers is 2 x 2 x 107 x 76 = 32528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32528
Therefore, the GCF of Fractions 355/428,109/304 is 1/32528
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 428,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,304) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(428,304) x common factors =4 x 1 = 4
LCM(428,304) = ( 428 × 304 ) / 4
LCM(428,304) = 130112 / 4
LCM(428,304) = 32528
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 355,109?
The HCF of 355,109 is 1
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 355/428, 109/304?
Answer: GCF of Numerators as per given numbers 355/428, 109/304 is
GCF of Numerators i.e. for 355,109 is 1
LCM of denominators i.e. for 428,304 is 32528.
Thus, GCF of Fractions is 1/32528.Finally, GCF of Fractions for 355/428, 109/304 is 1/32528.