Use our free GCF of Fractions Calculator tool to compute the GCF of 15/91, 44/506, 424/805 i.e 1/230230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/91, 44/506, 424/805.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/91,44/506,424/805
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 15/91,44/506,424/805, numerators are 15,44,424
Denominators are 91,506,805
The GCF of 15,44,424 is 1 .
LCM of 91,506,805 is 230230.
The greatest common factor of 15/91,44/506,424/805 = [GCF of 15,44,424]/[LCM of 91,506,805]= 1/230230
Therefore, the GCF of 15/91,44/506,424/805 is 1/230230.
To find the highest common factor of 15,44,424, 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 44 are 1, 2, 4, 11, 22, 44
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The HCF of 15,44,424 is 1.
Lets's calculate GCF of 15,44,424
∴ 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 44
:1,2,4,11,22,44
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 15,44,424 . The biggest common factor number is the GCF number.
So the greatest common factor 15,44,424 is 1.
Lets's calculate LCM of 91,506,805
7 | 91, 506, 805 |
23 | 13, 506, 115 |
13, 22, 5 |
∴ So the LCM of the given numbers is 7 x 23 x 13 x 22 x 5 = 230230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230230
Therefore, the GCF of Fractions 15/91,44/506,424/805 is 1/230230
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 91,506,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,506,805) = 1
common factors(in case of two or more numbers have common factors) = 161
GCF(91,506,805) x common factors =1 x 161 = 161
LCM(91,506,805) = ( 91 × 506 × 805 ) / 161
LCM(91,506,805) = 37067030 / 161
LCM(91,506,805) = 230230
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 15,44,424?
The HCF of 15,44,424 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 15/91, 44/506, 424/805?
Answer: GCF of Numerators as per given numbers 15/91, 44/506, 424/805 is
GCF of Numerators i.e. for 15,44,424 is 1
LCM of denominators i.e. for 91,506,805 is 230230.
Thus, GCF of Fractions is 1/230230.Finally, GCF of Fractions for 15/91, 44/506, 424/805 is 1/230230.