Use our free GCF of Fractions Calculator tool to compute the GCF of 949/642, 438/387 i.e 73/82818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 949/642, 438/387.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 949/642,438/387
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 949/642,438/387, numerators are 949,438
Denominators are 642,387
The GCF of 949,438 is 73 .
LCM of 642,387 is 82818.
The greatest common factor of 949/642,438/387 = [GCF of 949,438]/[LCM of 642,387]= 73/82818
Therefore, the GCF of 949/642,438/387 is 73/82818.
To find the highest common factor of 949,438, we have to find the factors of both numbers and list the highest common factor.
The factors of 949 are 1, 13, 73, 949
The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438
The HCF of 949,438 is 73.
Lets's calculate GCF of 949,438
73 | 949, 438 |
13, 6 |
∴ So the GCF of the given numbers is 73 = 73
Now, list down the factors of 949
:1,13,73,949
Now, list down the factors of 438
:1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 949,438 . The biggest common factor number is the GCF number.
So the greatest common factor 949,438 is 73.
Lets's calculate LCM of 642,387
3 | 642, 387 |
214, 129 |
∴ So the LCM of the given numbers is 3 x 214 x 129 = 82818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 73/82818
Therefore, the GCF of Fractions 949/642,438/387 is 73/82818
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 642,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,387) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(642,387) x common factors =3 x 1 = 3
LCM(642,387) = ( 642 × 387 ) / 3
LCM(642,387) = 248454 / 3
LCM(642,387) = 82818
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 949,438?
The HCF of 949,438 is 73
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 949/642, 438/387?
Answer: GCF of Numerators as per given numbers 949/642, 438/387 is
GCF of Numerators i.e. for 949,438 is 73
LCM of denominators i.e. for 642,387 is 82818.
Thus, GCF of Fractions is 73/82818.Finally, GCF of Fractions for 949/642, 438/387 is 73/82818.