Use our free GCF of Fractions Calculator tool to compute the GCF of 24/46, 107/33, 550/617 i.e 1/936606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/46, 107/33, 550/617.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 24/46,107/33,550/617
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 24/46,107/33,550/617, numerators are 24,107,550
Denominators are 46,33,617
The GCF of 24,107,550 is 1 .
LCM of 46,33,617 is 936606.
The greatest common factor of 24/46,107/33,550/617 = [GCF of 24,107,550]/[LCM of 46,33,617]= 1/936606
Therefore, the GCF of 24/46,107/33,550/617 is 1/936606.
To find the highest common factor of 24,107,550, 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 107 are 1, 107
The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
The HCF of 24,107,550 is 1.
Lets's calculate GCF of 24,107,550
∴ 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 107
:1,107
Now, list down the factors of 550
:1,2,5,10,11,22,25,50,55,110,275,550
Greatest Common Factor
We found the factors 24,107,550 . The biggest common factor number is the GCF number.
So the greatest common factor 24,107,550 is 1.
Lets's calculate LCM of 46,33,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 936606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/936606
Therefore, the GCF of Fractions 24/46,107/33,550/617 is 1/936606
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 46,33,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,33,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,33,617) x common factors =1 x 1 = 1
LCM(46,33,617) = ( 46 × 33 × 617 ) / 1
LCM(46,33,617) = 936606 / 1
LCM(46,33,617) = 936606
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 24,107,550?
The HCF of 24,107,550 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 24/46, 107/33, 550/617?
Answer: GCF of Numerators as per given numbers 24/46, 107/33, 550/617 is
GCF of Numerators i.e. for 24,107,550 is 1
LCM of denominators i.e. for 46,33,617 is 936606.
Thus, GCF of Fractions is 1/936606.Finally, GCF of Fractions for 24/46, 107/33, 550/617 is 1/936606.