Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8255/188,4938/547
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 8255,4938
Greatest Common Factor of Numerators i.e. GCF of 8255,4938 is 1 .
LCM of Denominators means LCM of 188,547 as per the given fractions.
LCM of 188,547 is 102836 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8255,4938
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8255
List of positive integer factors of 8255 that divides 8255 without a remainder.
1,5,13,65,127,635,1651,8255
Factors of 4938
List of positive integer factors of 4938 that divides 4938 without a remainder.
1,2,3,6,823,1646,2469,4938
Greatest Common Factor
We found the factors 8255,4938 . The biggest common factor number is the GCF number.
So the greatest common factor 8255,4938 is 1.
Lets's calculate LCM of 188,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 102836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102836
Therefore, the GCF of Fractions 8255/188,4938/547 is 1/102836
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 188,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(188,547) x common factors =1 x 1 = 1
LCM(188,547) = ( 188 × 547 ) / 1
LCM(188,547) = 102836 / 1
LCM(188,547) = 102836
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 8255/188, 4938/547?
Answer: GCF of Numerators as per given numbers 8255/188, 4938/547 is
GCF of Numerators i.e. for 8255,4938 is 1
LCM of denominators i.e. for 188,547 is 102836.
Thus, GCF of Fractions is 1/102836.Finally, GCF of Fractions for 8255/188, 4938/547 is 1/102836.