Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 203/941,4190/166
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 203,4190
Greatest Common Factor of Numerators i.e. GCF of 203,4190 is 1 .
LCM of Denominators means LCM of 941,166 as per the given fractions.
LCM of 941,166 is 156206 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 203,4190
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Factors of 4190
List of positive integer factors of 4190 that divides 4190 without a remainder.
1,2,5,10,419,838,2095,4190
Greatest Common Factor
We found the factors 203,4190 . The biggest common factor number is the GCF number.
So the greatest common factor 203,4190 is 1.
Lets's calculate LCM of 941,166
Given numbers has no common factors except 1. So, there LCM is their product i.e 156206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156206
Therefore, the GCF of Fractions 203/941,4190/166 is 1/156206
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 941,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(941,166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(941,166) x common factors =1 x 1 = 1
LCM(941,166) = ( 941 × 166 ) / 1
LCM(941,166) = 156206 / 1
LCM(941,166) = 156206
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 203/941, 4190/166?
Answer: GCF of Numerators as per given numbers 203/941, 4190/166 is
GCF of Numerators i.e. for 203,4190 is 1
LCM of denominators i.e. for 941,166 is 156206.
Thus, GCF of Fractions is 1/156206.Finally, GCF of Fractions for 203/941, 4190/166 is 1/156206.