Use our free GCF of Fractions Calculator tool to compute the GCF of 347/236, 805/434 i.e 1/51212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 347/236, 805/434.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 347/236,805/434
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 347/236,805/434, numerators are 347,805
Denominators are 236,434
The GCF of 347,805 is 1 .
LCM of 236,434 is 51212.
The greatest common factor of 347/236,805/434 = [GCF of 347,805]/[LCM of 236,434]= 1/51212
Therefore, the GCF of 347/236,805/434 is 1/51212.
To find the highest common factor of 347,805, we have to find the factors of both numbers and list the highest common factor.
The factors of 347 are 1, 347
The factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805
The HCF of 347,805 is 1.
Lets's calculate GCF of 347,805
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 347
:1,347
Now, list down the factors of 805
:1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 347,805 . The biggest common factor number is the GCF number.
So the greatest common factor 347,805 is 1.
Lets's calculate LCM of 236,434
2 | 236, 434 |
118, 217 |
∴ So the LCM of the given numbers is 2 x 118 x 217 = 51212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51212
Therefore, the GCF of Fractions 347/236,805/434 is 1/51212
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 236,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,434) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(236,434) x common factors =2 x 1 = 2
LCM(236,434) = ( 236 × 434 ) / 2
LCM(236,434) = 102424 / 2
LCM(236,434) = 51212
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 347,805?
The HCF of 347,805 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 347/236, 805/434?
Answer: GCF of Numerators as per given numbers 347/236, 805/434 is
GCF of Numerators i.e. for 347,805 is 1
LCM of denominators i.e. for 236,434 is 51212.
Thus, GCF of Fractions is 1/51212.Finally, GCF of Fractions for 347/236, 805/434 is 1/51212.