Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5190/449,2423/846
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 5190,2423
Greatest Common Factor of Numerators i.e. GCF of 5190,2423 is 1 .
LCM of Denominators means LCM of 449,846 as per the given fractions.
LCM of 449,846 is 379854 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5190,2423
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5190
List of positive integer factors of 5190 that divides 5190 without a remainder.
1,2,3,5,6,10,15,30,173,346,519,865,1038,1730,2595,5190
Factors of 2423
List of positive integer factors of 2423 that divides 2423 without a remainder.
1,2423
Greatest Common Factor
We found the factors 5190,2423 . The biggest common factor number is the GCF number.
So the greatest common factor 5190,2423 is 1.
Lets's calculate LCM of 449,846
Given numbers has no common factors except 1. So, there LCM is their product i.e 379854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/379854
Therefore, the GCF of Fractions 5190/449,2423/846 is 1/379854
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 449,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,846) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,846) x common factors =1 x 1 = 1
LCM(449,846) = ( 449 × 846 ) / 1
LCM(449,846) = 379854 / 1
LCM(449,846) = 379854
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 5190/449, 2423/846?
Answer: GCF of Numerators as per given numbers 5190/449, 2423/846 is
GCF of Numerators i.e. for 5190,2423 is 1
LCM of denominators i.e. for 449,846 is 379854.
Thus, GCF of Fractions is 1/379854.Finally, GCF of Fractions for 5190/449, 2423/846 is 1/379854.