Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 154/15,299/79,204/287
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 154,299,204
Greatest Common Factor of Numerators i.e. GCF of 154,299,204 is 1 .
LCM of Denominators means LCM of 15,79,287 as per the given fractions.
LCM of 15,79,287 is 340095 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 154,299,204
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 154,299,204 . The biggest common factor number is the GCF number.
So the greatest common factor 154,299,204 is 1.
Lets's calculate LCM of 15,79,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 340095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340095
Therefore, the GCF of Fractions 154/15,299/79,204/287 is 1/340095
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 15,79,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,79,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,79,287) x common factors =1 x 1 = 1
LCM(15,79,287) = ( 15 × 79 × 287 ) / 1
LCM(15,79,287) = 340095 / 1
LCM(15,79,287) = 340095
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 154/15, 299/79, 204/287?
Answer: GCF of Numerators as per given numbers 154/15, 299/79, 204/287 is
GCF of Numerators i.e. for 154,299,204 is 1
LCM of denominators i.e. for 15,79,287 is 340095.
Thus, GCF of Fractions is 1/340095.Finally, GCF of Fractions for 154/15, 299/79, 204/287 is 1/340095.