Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6341/12,1481/947
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 6341,1481
Greatest Common Factor of Numerators i.e. GCF of 6341,1481 is 1 .
LCM of Denominators means LCM of 12,947 as per the given fractions.
LCM of 12,947 is 11364 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6341,1481
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6341
List of positive integer factors of 6341 that divides 6341 without a remainder.
1,17,373,6341
Factors of 1481
List of positive integer factors of 1481 that divides 1481 without a remainder.
1,1481
Greatest Common Factor
We found the factors 6341,1481 . The biggest common factor number is the GCF number.
So the greatest common factor 6341,1481 is 1.
Lets's calculate LCM of 12,947
Given numbers has no common factors except 1. So, there LCM is their product i.e 11364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11364
Therefore, the GCF of Fractions 6341/12,1481/947 is 1/11364
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 12,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(12,947) x common factors =1 x 1 = 1
LCM(12,947) = ( 12 × 947 ) / 1
LCM(12,947) = 11364 / 1
LCM(12,947) = 11364
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 6341/12, 1481/947?
Answer: GCF of Numerators as per given numbers 6341/12, 1481/947 is
GCF of Numerators i.e. for 6341,1481 is 1
LCM of denominators i.e. for 12,947 is 11364.
Thus, GCF of Fractions is 1/11364.Finally, GCF of Fractions for 6341/12, 1481/947 is 1/11364.