Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9383/42,3722/139
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 9383,3722
Greatest Common Factor of Numerators i.e. GCF of 9383,3722 is 1 .
LCM of Denominators means LCM of 42,139 as per the given fractions.
LCM of 42,139 is 5838 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9383,3722
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9383
List of positive integer factors of 9383 that divides 9383 without a remainder.
1,11,853,9383
Factors of 3722
List of positive integer factors of 3722 that divides 3722 without a remainder.
1,2,1861,3722
Greatest Common Factor
We found the factors 9383,3722 . The biggest common factor number is the GCF number.
So the greatest common factor 9383,3722 is 1.
Lets's calculate LCM of 42,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 5838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5838
Therefore, the GCF of Fractions 9383/42,3722/139 is 1/5838
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 42,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,139) x common factors =1 x 1 = 1
LCM(42,139) = ( 42 × 139 ) / 1
LCM(42,139) = 5838 / 1
LCM(42,139) = 5838
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 9383/42, 3722/139?
Answer: GCF of Numerators as per given numbers 9383/42, 3722/139 is
GCF of Numerators i.e. for 9383,3722 is 1
LCM of denominators i.e. for 42,139 is 5838.
Thus, GCF of Fractions is 1/5838.Finally, GCF of Fractions for 9383/42, 3722/139 is 1/5838.