Use our free GCF of Fractions Calculator tool to compute the GCF of 438/145, 194/871 i.e 2/126295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 438/145, 194/871.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 438/145,194/871
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 438/145,194/871, numerators are 438,194
Denominators are 145,871
The GCF of 438,194 is 2 .
LCM of 145,871 is 126295.
The greatest common factor of 438/145,194/871 = [GCF of 438,194]/[LCM of 145,871]= 2/126295
Therefore, the GCF of 438/145,194/871 is 2/126295.
To find the highest common factor of 438,194, we have to find the factors of both numbers and list the highest common factor.
The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438
The factors of 194 are 1, 2, 97, 194
The HCF of 438,194 is 2.
Lets's calculate GCF of 438,194
2 | 438, 194 |
219, 97 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 438
:1,2,3,6,73,146,219,438
Now, list down the factors of 194
:1,2,97,194
Greatest Common Factor
We found the factors 438,194 . The biggest common factor number is the GCF number.
So the greatest common factor 438,194 is 2.
Lets's calculate LCM of 145,871
Given numbers has no common factors except 1. So, there LCM is their product i.e 126295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/126295
Therefore, the GCF of Fractions 438/145,194/871 is 2/126295
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 145,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,871) x common factors =1 x 1 = 1
LCM(145,871) = ( 145 × 871 ) / 1
LCM(145,871) = 126295 / 1
LCM(145,871) = 126295
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 438,194?
The HCF of 438,194 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 438/145, 194/871?
Answer: GCF of Numerators as per given numbers 438/145, 194/871 is
GCF of Numerators i.e. for 438,194 is 2
LCM of denominators i.e. for 145,871 is 126295.
Thus, GCF of Fractions is 2/126295.Finally, GCF of Fractions for 438/145, 194/871 is 2/126295.