Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 51/516,494/736
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 51,494
Greatest Common Factor of Numerators i.e. GCF of 51,494 is 1 .
LCM of Denominators means LCM of 516,736 as per the given fractions.
LCM of 516,736 is 94944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 51,494
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Greatest Common Factor
We found the factors 51,494 . The biggest common factor number is the GCF number.
So the greatest common factor 51,494 is 1.
Lets's calculate LCM of 516,736
2 | 516, 736 |
2 | 258, 368 |
129, 184 |
∴ So the LCM of the given numbers is 2 x 2 x 129 x 184 = 94944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94944
Therefore, the GCF of Fractions 51/516,494/736 is 1/94944
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 516,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,736) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(516,736) x common factors =4 x 1 = 4
LCM(516,736) = ( 516 × 736 ) / 4
LCM(516,736) = 379776 / 4
LCM(516,736) = 94944
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 51/516, 494/736?
Answer: GCF of Numerators as per given numbers 51/516, 494/736 is
GCF of Numerators i.e. for 51,494 is 1
LCM of denominators i.e. for 516,736 is 94944.
Thus, GCF of Fractions is 1/94944.Finally, GCF of Fractions for 51/516, 494/736 is 1/94944.