Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3846/158,1009/8239
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 3846,1009
Greatest Common Factor of Numerators i.e. GCF of 3846,1009 is 1 .
LCM of Denominators means LCM of 158,8239 as per the given fractions.
LCM of 158,8239 is 1301762 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3846,1009
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3846
List of positive integer factors of 3846 that divides 3846 without a remainder.
1,2,3,6,641,1282,1923,3846
Factors of 1009
List of positive integer factors of 1009 that divides 1009 without a remainder.
1,1009
Greatest Common Factor
We found the factors 3846,1009 . The biggest common factor number is the GCF number.
So the greatest common factor 3846,1009 is 1.
Lets's calculate LCM of 158,8239
Given numbers has no common factors except 1. So, there LCM is their product i.e 1301762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1301762
Therefore, the GCF of Fractions 3846/158,1009/8239 is 1/1301762
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 158,8239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,8239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(158,8239) x common factors =1 x 1 = 1
LCM(158,8239) = ( 158 × 8239 ) / 1
LCM(158,8239) = 1301762 / 1
LCM(158,8239) = 1301762
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 3846/158, 1009/8239?
Answer: GCF of Numerators as per given numbers 3846/158, 1009/8239 is
GCF of Numerators i.e. for 3846,1009 is 1
LCM of denominators i.e. for 158,8239 is 1301762.
Thus, GCF of Fractions is 1/1301762.Finally, GCF of Fractions for 3846/158, 1009/8239 is 1/1301762.