Use our free GCF of Fractions Calculator tool to compute the GCF of 995/428, 735/442 i.e 5/94588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 995/428, 735/442.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 995/428,735/442
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 995/428,735/442, numerators are 995,735
Denominators are 428,442
The GCF of 995,735 is 5 .
LCM of 428,442 is 94588.
The greatest common factor of 995/428,735/442 = [GCF of 995,735]/[LCM of 428,442]= 5/94588
Therefore, the GCF of 995/428,735/442 is 5/94588.
To find the highest common factor of 995,735, we have to find the factors of both numbers and list the highest common factor.
The factors of 995 are 1, 5, 199, 995
The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
The HCF of 995,735 is 5.
Lets's calculate GCF of 995,735
5 | 995, 735 |
199, 147 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 995
:1,5,199,995
Now, list down the factors of 735
:1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 995,735 . The biggest common factor number is the GCF number.
So the greatest common factor 995,735 is 5.
Lets's calculate LCM of 428,442
2 | 428, 442 |
214, 221 |
∴ So the LCM of the given numbers is 2 x 214 x 221 = 94588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/94588
Therefore, the GCF of Fractions 995/428,735/442 is 5/94588
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 428,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,442) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(428,442) x common factors =2 x 1 = 2
LCM(428,442) = ( 428 × 442 ) / 2
LCM(428,442) = 189176 / 2
LCM(428,442) = 94588
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 995,735?
The HCF of 995,735 is 5
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 995/428, 735/442?
Answer: GCF of Numerators as per given numbers 995/428, 735/442 is
GCF of Numerators i.e. for 995,735 is 5
LCM of denominators i.e. for 428,442 is 94588.
Thus, GCF of Fractions is 5/94588.Finally, GCF of Fractions for 995/428, 735/442 is 5/94588.