Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 955/181,3794/662
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 955,3794
Greatest Common Factor of Numerators i.e. GCF of 955,3794 is 1 .
LCM of Denominators means LCM of 181,662 as per the given fractions.
LCM of 181,662 is 119822 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 955,3794
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 3794
List of positive integer factors of 3794 that divides 3794 without a remainder.
1,2,7,14,271,542,1897,3794
Greatest Common Factor
We found the factors 955,3794 . The biggest common factor number is the GCF number.
So the greatest common factor 955,3794 is 1.
Lets's calculate LCM of 181,662
Given numbers has no common factors except 1. So, there LCM is their product i.e 119822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119822
Therefore, the GCF of Fractions 955/181,3794/662 is 1/119822
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 181,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,662) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(181,662) x common factors =1 x 1 = 1
LCM(181,662) = ( 181 × 662 ) / 1
LCM(181,662) = 119822 / 1
LCM(181,662) = 119822
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 955/181, 3794/662?
Answer: GCF of Numerators as per given numbers 955/181, 3794/662 is
GCF of Numerators i.e. for 955,3794 is 1
LCM of denominators i.e. for 181,662 is 119822.
Thus, GCF of Fractions is 1/119822.Finally, GCF of Fractions for 955/181, 3794/662 is 1/119822.