Use our free GCF of Fractions Calculator tool to compute the GCF of 43/22, 232/98, 234/625 i.e 1/673750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/22, 232/98, 234/625.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/22,232/98,234/625
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 43/22,232/98,234/625, numerators are 43,232,234
Denominators are 22,98,625
The GCF of 43,232,234 is 1 .
LCM of 22,98,625 is 673750.
The greatest common factor of 43/22,232/98,234/625 = [GCF of 43,232,234]/[LCM of 22,98,625]= 1/673750
Therefore, the GCF of 43/22,232/98,234/625 is 1/673750.
To find the highest common factor of 43,232,234, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232
The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
The HCF of 43,232,234 is 1.
Lets's calculate GCF of 43,232,234
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 43
:1,43
Now, list down the factors of 232
:1,2,4,8,29,58,116,232
Now, list down the factors of 234
:1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 43,232,234 . The biggest common factor number is the GCF number.
So the greatest common factor 43,232,234 is 1.
Lets's calculate LCM of 22,98,625
2 | 22, 98, 625 |
11, 49, 625 |
∴ So the LCM of the given numbers is 2 x 11 x 49 x 625 = 673750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/673750
Therefore, the GCF of Fractions 43/22,232/98,234/625 is 1/673750
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 22,98,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,98,625) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(22,98,625) x common factors =1 x 2 = 2
LCM(22,98,625) = ( 22 × 98 × 625 ) / 2
LCM(22,98,625) = 1347500 / 2
LCM(22,98,625) = 673750
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 43,232,234?
The HCF of 43,232,234 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 43/22, 232/98, 234/625?
Answer: GCF of Numerators as per given numbers 43/22, 232/98, 234/625 is
GCF of Numerators i.e. for 43,232,234 is 1
LCM of denominators i.e. for 22,98,625 is 673750.
Thus, GCF of Fractions is 1/673750.Finally, GCF of Fractions for 43/22, 232/98, 234/625 is 1/673750.