Use our free GCF of Fractions Calculator tool to compute the GCF of 246/438, 456/501 i.e 6/73146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 246/438, 456/501.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 246/438,456/501
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 246/438,456/501, numerators are 246,456
Denominators are 438,501
The GCF of 246,456 is 6 .
LCM of 438,501 is 73146.
The greatest common factor of 246/438,456/501 = [GCF of 246,456]/[LCM of 438,501]= 6/73146
Therefore, the GCF of 246/438,456/501 is 6/73146.
To find the highest common factor of 246,456, 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 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
The HCF of 246,456 is 6.
Lets's calculate GCF of 246,456
2 | 246, 456 |
3 | 123, 228 |
41, 76 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 246
:1,2,3,6,41,82,123,246
Now, list down the factors of 456
:1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Greatest Common Factor
We found the factors 246,456 . The biggest common factor number is the GCF number.
So the greatest common factor 246,456 is 6.
Lets's calculate LCM of 438,501
3 | 438, 501 |
146, 167 |
∴ So the LCM of the given numbers is 3 x 146 x 167 = 73146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/73146
Therefore, the GCF of Fractions 246/438,456/501 is 6/73146
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 438,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,501) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(438,501) x common factors =3 x 1 = 3
LCM(438,501) = ( 438 × 501 ) / 3
LCM(438,501) = 219438 / 3
LCM(438,501) = 73146
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 246,456?
The HCF of 246,456 is 6
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 246/438, 456/501?
Answer: GCF of Numerators as per given numbers 246/438, 456/501 is
GCF of Numerators i.e. for 246,456 is 6
LCM of denominators i.e. for 438,501 is 73146.
Thus, GCF of Fractions is 6/73146.Finally, GCF of Fractions for 246/438, 456/501 is 6/73146.