Use our free GCF of Fractions Calculator tool to compute the GCF of 246/914, 424/572 i.e 2/261404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 246/914, 424/572.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 246/914,424/572
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 246/914,424/572, numerators are 246,424
Denominators are 914,572
The GCF of 246,424 is 2 .
LCM of 914,572 is 261404.
The greatest common factor of 246/914,424/572 = [GCF of 246,424]/[LCM of 914,572]= 2/261404
Therefore, the GCF of 246/914,424/572 is 2/261404.
To find the highest common factor of 246,424, we have to find the factors of both numbers and list the highest common factor.
The factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The HCF of 246,424 is 2.
Lets's calculate GCF of 246,424
2 | 246, 424 |
123, 212 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 246
:1,2,3,6,41,82,123,246
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 246,424 . The biggest common factor number is the GCF number.
So the greatest common factor 246,424 is 2.
Lets's calculate LCM of 914,572
2 | 914, 572 |
457, 286 |
∴ So the LCM of the given numbers is 2 x 457 x 286 = 261404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/261404
Therefore, the GCF of Fractions 246/914,424/572 is 2/261404
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 914,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,572) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,572) x common factors =2 x 1 = 2
LCM(914,572) = ( 914 × 572 ) / 2
LCM(914,572) = 522808 / 2
LCM(914,572) = 261404
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 246,424?
The HCF of 246,424 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 246/914, 424/572?
Answer: GCF of Numerators as per given numbers 246/914, 424/572 is
GCF of Numerators i.e. for 246,424 is 2
LCM of denominators i.e. for 914,572 is 261404.
Thus, GCF of Fractions is 2/261404.Finally, GCF of Fractions for 246/914, 424/572 is 2/261404.