Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 312/49,533/6487
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 312,533
Greatest Common Factor of Numerators i.e. GCF of 312,533 is 13 .
LCM of Denominators means LCM of 49,6487 as per the given fractions.
LCM of 49,6487 is 317863 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 312,533
13 | 312, 533 |
24, 41 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
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 312,533 . The biggest common factor number is the GCF number.
So the greatest common factor 312,533 is 13.
Lets's calculate LCM of 49,6487
Given numbers has no common factors except 1. So, there LCM is their product i.e 317863
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/317863
Therefore, the GCF of Fractions 312/49,533/6487 is 13/317863
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 49,6487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,6487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,6487) x common factors =1 x 1 = 1
LCM(49,6487) = ( 49 × 6487 ) / 1
LCM(49,6487) = 317863 / 1
LCM(49,6487) = 317863
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 312/49, 533/6487?
Answer: GCF of Numerators as per given numbers 312/49, 533/6487 is
GCF of Numerators i.e. for 312,533 is 13
LCM of denominators i.e. for 49,6487 is 317863.
Thus, GCF of Fractions is 13/317863.Finally, GCF of Fractions for 312/49, 533/6487 is 13/317863.