Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 494/974,533/948
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 494,533
Greatest Common Factor of Numerators i.e. GCF of 494,533 is 13 .
LCM of Denominators means LCM of 974,948 as per the given fractions.
LCM of 974,948 is 461676 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 494,533
13 | 494, 533 |
38, 41 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Greatest Common Factor
We found the factors 494,533 . The biggest common factor number is the GCF number.
So the greatest common factor 494,533 is 13.
Lets's calculate LCM of 974,948
2 | 974, 948 |
487, 474 |
∴ So the LCM of the given numbers is 2 x 487 x 474 = 461676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/461676
Therefore, the GCF of Fractions 494/974,533/948 is 13/461676
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 974,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,948) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,948) x common factors =2 x 1 = 2
LCM(974,948) = ( 974 × 948 ) / 2
LCM(974,948) = 923352 / 2
LCM(974,948) = 461676
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 494/974, 533/948?
Answer: GCF of Numerators as per given numbers 494/974, 533/948 is
GCF of Numerators i.e. for 494,533 is 13
LCM of denominators i.e. for 974,948 is 461676.
Thus, GCF of Fractions is 13/461676.Finally, GCF of Fractions for 494/974, 533/948 is 13/461676.