Use our free GCF of Fractions Calculator tool to compute the GCF of 934/498, 294/413 i.e 2/205674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 934/498, 294/413.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 934/498,294/413
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 934/498,294/413, numerators are 934,294
Denominators are 498,413
The GCF of 934,294 is 2 .
LCM of 498,413 is 205674.
The greatest common factor of 934/498,294/413 = [GCF of 934,294]/[LCM of 498,413]= 2/205674
Therefore, the GCF of 934/498,294/413 is 2/205674.
To find the highest common factor of 934,294, we have to find the factors of both numbers and list the highest common factor.
The factors of 934 are 1, 2, 467, 934
The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
The HCF of 934,294 is 2.
Lets's calculate GCF of 934,294
2 | 934, 294 |
467, 147 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 934
:1,2,467,934
Now, list down the factors of 294
:1,2,3,6,7,14,21,42,49,98,147,294
Greatest Common Factor
We found the factors 934,294 . The biggest common factor number is the GCF number.
So the greatest common factor 934,294 is 2.
Lets's calculate LCM of 498,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 205674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/205674
Therefore, the GCF of Fractions 934/498,294/413 is 2/205674
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 498,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(498,413) x common factors =1 x 1 = 1
LCM(498,413) = ( 498 × 413 ) / 1
LCM(498,413) = 205674 / 1
LCM(498,413) = 205674
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 934,294?
The HCF of 934,294 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 934/498, 294/413?
Answer: GCF of Numerators as per given numbers 934/498, 294/413 is
GCF of Numerators i.e. for 934,294 is 2
LCM of denominators i.e. for 498,413 is 205674.
Thus, GCF of Fractions is 2/205674.Finally, GCF of Fractions for 934/498, 294/413 is 2/205674.