Use our free GCF of Fractions Calculator tool to compute the GCF of 24/814, 34/426, 865/607 i.e 1/105242874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/814, 34/426, 865/607.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 24/814,34/426,865/607
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 24/814,34/426,865/607, numerators are 24,34,865
Denominators are 814,426,607
The GCF of 24,34,865 is 1 .
LCM of 814,426,607 is 105242874.
The greatest common factor of 24/814,34/426,865/607 = [GCF of 24,34,865]/[LCM of 814,426,607]= 1/105242874
Therefore, the GCF of 24/814,34/426,865/607 is 1/105242874.
To find the highest common factor of 24,34,865, we have to find the factors of both numbers and list the highest common factor.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 34 are 1, 2, 17, 34
The factors of 865 are 1, 5, 173, 865
The HCF of 24,34,865 is 1.
Lets's calculate GCF of 24,34,865
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 865
:1,5,173,865
Greatest Common Factor
We found the factors 24,34,865 . The biggest common factor number is the GCF number.
So the greatest common factor 24,34,865 is 1.
Lets's calculate LCM of 814,426,607
2 | 814, 426, 607 |
407, 213, 607 |
∴ So the LCM of the given numbers is 2 x 407 x 213 x 607 = 105242874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105242874
Therefore, the GCF of Fractions 24/814,34/426,865/607 is 1/105242874
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 814,426,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,426,607) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(814,426,607) x common factors =1 x 2 = 2
LCM(814,426,607) = ( 814 × 426 × 607 ) / 2
LCM(814,426,607) = 210485748 / 2
LCM(814,426,607) = 105242874
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 24,34,865?
The HCF of 24,34,865 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 24/814, 34/426, 865/607?
Answer: GCF of Numerators as per given numbers 24/814, 34/426, 865/607 is
GCF of Numerators i.e. for 24,34,865 is 1
LCM of denominators i.e. for 814,426,607 is 105242874.
Thus, GCF of Fractions is 1/105242874.Finally, GCF of Fractions for 24/814, 34/426, 865/607 is 1/105242874.