Use our free GCF of Fractions Calculator tool to compute the GCF of 15/354, 82/255, 400/430 i.e 1/1293870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/354, 82/255, 400/430.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/354,82/255,400/430
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 15/354,82/255,400/430, numerators are 15,82,400
Denominators are 354,255,430
The GCF of 15,82,400 is 1 .
LCM of 354,255,430 is 1293870.
The greatest common factor of 15/354,82/255,400/430 = [GCF of 15,82,400]/[LCM of 354,255,430]= 1/1293870
Therefore, the GCF of 15/354,82/255,400/430 is 1/1293870.
To find the highest common factor of 15,82,400, we have to find the factors of both numbers and list the highest common factor.
The factors of 15 are 1, 3, 5, 15
The factors of 82 are 1, 2, 41, 82
The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
The HCF of 15,82,400 is 1.
Lets's calculate GCF of 15,82,400
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 400
:1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors 15,82,400 . The biggest common factor number is the GCF number.
So the greatest common factor 15,82,400 is 1.
Lets's calculate LCM of 354,255,430
2 | 354, 255, 430 |
3 | 177, 255, 215 |
5 | 59, 85, 215 |
59, 17, 43 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 59 x 17 x 43 = 1293870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1293870
Therefore, the GCF of Fractions 15/354,82/255,400/430 is 1/1293870
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 354,255,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,255,430) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(354,255,430) x common factors =1 x 30 = 30
LCM(354,255,430) = ( 354 × 255 × 430 ) / 30
LCM(354,255,430) = 38816100 / 30
LCM(354,255,430) = 1293870
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 15,82,400?
The HCF of 15,82,400 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 15/354, 82/255, 400/430?
Answer: GCF of Numerators as per given numbers 15/354, 82/255, 400/430 is
GCF of Numerators i.e. for 15,82,400 is 1
LCM of denominators i.e. for 354,255,430 is 1293870.
Thus, GCF of Fractions is 1/1293870.Finally, GCF of Fractions for 15/354, 82/255, 400/430 is 1/1293870.