Use our free GCF of Fractions Calculator tool to compute the GCF of 518/418, 937/893 i.e 1/19646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 518/418, 937/893.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 518/418,937/893
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 518/418,937/893, numerators are 518,937
Denominators are 418,893
The GCF of 518,937 is 1 .
LCM of 418,893 is 19646.
The greatest common factor of 518/418,937/893 = [GCF of 518,937]/[LCM of 418,893]= 1/19646
Therefore, the GCF of 518/418,937/893 is 1/19646.
To find the highest common factor of 518,937, we have to find the factors of both numbers and list the highest common factor.
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The factors of 937 are 1, 937
The HCF of 518,937 is 1.
Lets's calculate GCF of 518,937
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Now, list down the factors of 937
:1,937
Greatest Common Factor
We found the factors 518,937 . The biggest common factor number is the GCF number.
So the greatest common factor 518,937 is 1.
Lets's calculate LCM of 418,893
19 | 418, 893 |
22, 47 |
∴ So the LCM of the given numbers is 19 x 22 x 47 = 19646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19646
Therefore, the GCF of Fractions 518/418,937/893 is 1/19646
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 418,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,893) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(418,893) x common factors =19 x 1 = 19
LCM(418,893) = ( 418 × 893 ) / 19
LCM(418,893) = 373274 / 19
LCM(418,893) = 19646
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 518,937?
The HCF of 518,937 is 1
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 518/418, 937/893?
Answer: GCF of Numerators as per given numbers 518/418, 937/893 is
GCF of Numerators i.e. for 518,937 is 1
LCM of denominators i.e. for 418,893 is 19646.
Thus, GCF of Fractions is 1/19646.Finally, GCF of Fractions for 518/418, 937/893 is 1/19646.