Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3532/143,9491/386
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 3532,9491
Greatest Common Factor of Numerators i.e. GCF of 3532,9491 is 1 .
LCM of Denominators means LCM of 143,386 as per the given fractions.
LCM of 143,386 is 55198 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3532,9491
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3532
List of positive integer factors of 3532 that divides 3532 without a remainder.
1,2,4,883,1766,3532
Factors of 9491
List of positive integer factors of 9491 that divides 9491 without a remainder.
1,9491
Greatest Common Factor
We found the factors 3532,9491 . The biggest common factor number is the GCF number.
So the greatest common factor 3532,9491 is 1.
Lets's calculate LCM of 143,386
Given numbers has no common factors except 1. So, there LCM is their product i.e 55198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55198
Therefore, the GCF of Fractions 3532/143,9491/386 is 1/55198
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 143,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,386) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,386) x common factors =1 x 1 = 1
LCM(143,386) = ( 143 × 386 ) / 1
LCM(143,386) = 55198 / 1
LCM(143,386) = 55198
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 3532/143, 9491/386?
Answer: GCF of Numerators as per given numbers 3532/143, 9491/386 is
GCF of Numerators i.e. for 3532,9491 is 1
LCM of denominators i.e. for 143,386 is 55198.
Thus, GCF of Fractions is 1/55198.Finally, GCF of Fractions for 3532/143, 9491/386 is 1/55198.