Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2476/399,4846/481
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 2476,4846
Greatest Common Factor of Numerators i.e. GCF of 2476,4846 is 2 .
LCM of Denominators means LCM of 399,481 as per the given fractions.
LCM of 399,481 is 191919 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2476,4846
2 | 2476, 4846 |
1238, 2423 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2476
List of positive integer factors of 2476 that divides 2476 without a remainder.
1,2,4,619,1238,2476
Factors of 4846
List of positive integer factors of 4846 that divides 4846 without a remainder.
1,2,2423,4846
Greatest Common Factor
We found the factors 2476,4846 . The biggest common factor number is the GCF number.
So the greatest common factor 2476,4846 is 2.
Lets's calculate LCM of 399,481
Given numbers has no common factors except 1. So, there LCM is their product i.e 191919
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/191919
Therefore, the GCF of Fractions 2476/399,4846/481 is 2/191919
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 399,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(399,481) x common factors =1 x 1 = 1
LCM(399,481) = ( 399 × 481 ) / 1
LCM(399,481) = 191919 / 1
LCM(399,481) = 191919
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 2476/399, 4846/481?
Answer: GCF of Numerators as per given numbers 2476/399, 4846/481 is
GCF of Numerators i.e. for 2476,4846 is 2
LCM of denominators i.e. for 399,481 is 191919.
Thus, GCF of Fractions is 2/191919.Finally, GCF of Fractions for 2476/399, 4846/481 is 2/191919.