Use our free GCF of Fractions Calculator tool to compute the GCF of 246/650, 369/282 i.e 123/91650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 246/650, 369/282.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 246/650,369/282
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 246/650,369/282, numerators are 246,369
Denominators are 650,282
The GCF of 246,369 is 123 .
LCM of 650,282 is 91650.
The greatest common factor of 246/650,369/282 = [GCF of 246,369]/[LCM of 650,282]= 123/91650
Therefore, the GCF of 246/650,369/282 is 123/91650.
To find the highest common factor of 246,369, 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 369 are 1, 3, 9, 41, 123, 369
The HCF of 246,369 is 123.
Lets's calculate GCF of 246,369
3 | 246, 369 |
41 | 82, 123 |
2, 3 |
∴ So the GCF of the given numbers is 3 x 41 = 123
Now, list down the factors of 246
:1,2,3,6,41,82,123,246
Now, list down the factors of 369
:1,3,9,41,123,369
Greatest Common Factor
We found the factors 246,369 . The biggest common factor number is the GCF number.
So the greatest common factor 246,369 is 123.
Lets's calculate LCM of 650,282
2 | 650, 282 |
325, 141 |
∴ So the LCM of the given numbers is 2 x 325 x 141 = 91650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 123/91650
Therefore, the GCF of Fractions 246/650,369/282 is 123/91650
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 650,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(650,282) x common factors =2 x 1 = 2
LCM(650,282) = ( 650 × 282 ) / 2
LCM(650,282) = 183300 / 2
LCM(650,282) = 91650
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 246,369?
The HCF of 246,369 is 123
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 246/650, 369/282?
Answer: GCF of Numerators as per given numbers 246/650, 369/282 is
GCF of Numerators i.e. for 246,369 is 123
LCM of denominators i.e. for 650,282 is 91650.
Thus, GCF of Fractions is 123/91650.Finally, GCF of Fractions for 246/650, 369/282 is 123/91650.