Use our free GCF of Fractions Calculator tool to compute the GCF of 462/307, 938/293 i.e 14/89951 easily. The following is the detailed procedure to determine the greatest common factor of fractions 462/307, 938/293.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 462/307,938/293
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 462/307,938/293, numerators are 462,938
Denominators are 307,293
The GCF of 462,938 is 14 .
LCM of 307,293 is 89951.
The greatest common factor of 462/307,938/293 = [GCF of 462,938]/[LCM of 307,293]= 14/89951
Therefore, the GCF of 462/307,938/293 is 14/89951.
To find the highest common factor of 462,938, we have to find the factors of both numbers and list the highest common factor.
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938
The HCF of 462,938 is 14.
Lets's calculate GCF of 462,938
2 | 462, 938 |
7 | 231, 469 |
33, 67 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Now, list down the factors of 462
:1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Now, list down the factors of 938
:1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 462,938 . The biggest common factor number is the GCF number.
So the greatest common factor 462,938 is 14.
Lets's calculate LCM of 307,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 89951
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/89951
Therefore, the GCF of Fractions 462/307,938/293 is 14/89951
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 307,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,293) x common factors =1 x 1 = 1
LCM(307,293) = ( 307 × 293 ) / 1
LCM(307,293) = 89951 / 1
LCM(307,293) = 89951
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 462,938?
The HCF of 462,938 is 14
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 462/307, 938/293?
Answer: GCF of Numerators as per given numbers 462/307, 938/293 is
GCF of Numerators i.e. for 462,938 is 14
LCM of denominators i.e. for 307,293 is 89951.
Thus, GCF of Fractions is 14/89951.Finally, GCF of Fractions for 462/307, 938/293 is 14/89951.