Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2047/49,3920/832
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 2047,3920
Greatest Common Factor of Numerators i.e. GCF of 2047,3920 is 1 .
LCM of Denominators means LCM of 49,832 as per the given fractions.
LCM of 49,832 is 40768 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2047,3920
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2047
List of positive integer factors of 2047 that divides 2047 without a remainder.
1,23,89,2047
Factors of 3920
List of positive integer factors of 3920 that divides 3920 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,49,56,70,80,98,112,140,196,245,280,392,490,560,784,980,1960,3920
Greatest Common Factor
We found the factors 2047,3920 . The biggest common factor number is the GCF number.
So the greatest common factor 2047,3920 is 1.
Lets's calculate LCM of 49,832
Given numbers has no common factors except 1. So, there LCM is their product i.e 40768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40768
Therefore, the GCF of Fractions 2047/49,3920/832 is 1/40768
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 49,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,832) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,832) x common factors =1 x 1 = 1
LCM(49,832) = ( 49 × 832 ) / 1
LCM(49,832) = 40768 / 1
LCM(49,832) = 40768
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 2047/49, 3920/832?
Answer: GCF of Numerators as per given numbers 2047/49, 3920/832 is
GCF of Numerators i.e. for 2047,3920 is 1
LCM of denominators i.e. for 49,832 is 40768.
Thus, GCF of Fractions is 1/40768.Finally, GCF of Fractions for 2047/49, 3920/832 is 1/40768.