Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 944/43,5343/995
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 944,5343
Greatest Common Factor of Numerators i.e. GCF of 944,5343 is 1 .
LCM of Denominators means LCM of 43,995 as per the given fractions.
LCM of 43,995 is 42785 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 944,5343
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Factors of 5343
List of positive integer factors of 5343 that divides 5343 without a remainder.
1,3,13,39,137,411,1781,5343
Greatest Common Factor
We found the factors 944,5343 . The biggest common factor number is the GCF number.
So the greatest common factor 944,5343 is 1.
Lets's calculate LCM of 43,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 42785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42785
Therefore, the GCF of Fractions 944/43,5343/995 is 1/42785
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 43,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,995) x common factors =1 x 1 = 1
LCM(43,995) = ( 43 × 995 ) / 1
LCM(43,995) = 42785 / 1
LCM(43,995) = 42785
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 944/43, 5343/995?
Answer: GCF of Numerators as per given numbers 944/43, 5343/995 is
GCF of Numerators i.e. for 944,5343 is 1
LCM of denominators i.e. for 43,995 is 42785.
Thus, GCF of Fractions is 1/42785.Finally, GCF of Fractions for 944/43, 5343/995 is 1/42785.