Use our free GCF of Fractions Calculator tool to compute the GCF of 432/24, 734/5834 i.e 2/70008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 432/24, 734/5834.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 432/24,734/5834
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 432/24,734/5834, numerators are 432,734
Denominators are 24,5834
The GCF of 432,734 is 2 .
LCM of 24,5834 is 70008.
The greatest common factor of 432/24,734/5834 = [GCF of 432,734]/[LCM of 24,5834]= 2/70008
Therefore, the GCF of 432/24,734/5834 is 2/70008.
To find the highest common factor of 432,734, we have to find the factors of both numbers and list the highest common factor.
The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The factors of 734 are 1, 2, 367, 734
The HCF of 432,734 is 2.
Lets's calculate GCF of 432,734
2 | 432, 734 |
216, 367 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Now, list down the factors of 734
:1,2,367,734
Greatest Common Factor
We found the factors 432,734 . The biggest common factor number is the GCF number.
So the greatest common factor 432,734 is 2.
Lets's calculate LCM of 24,5834
2 | 24, 5834 |
12, 2917 |
∴ So the LCM of the given numbers is 2 x 12 x 2917 = 70008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70008
Therefore, the GCF of Fractions 432/24,734/5834 is 2/70008
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 24,5834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,5834) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(24,5834) x common factors =2 x 1 = 2
LCM(24,5834) = ( 24 × 5834 ) / 2
LCM(24,5834) = 140016 / 2
LCM(24,5834) = 70008
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 432,734?
The HCF of 432,734 is 2
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 432/24, 734/5834?
Answer: GCF of Numerators as per given numbers 432/24, 734/5834 is
GCF of Numerators i.e. for 432,734 is 2
LCM of denominators i.e. for 24,5834 is 70008.
Thus, GCF of Fractions is 2/70008.Finally, GCF of Fractions for 432/24, 734/5834 is 2/70008.