Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2946/153,4055/179
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 2946,4055
Greatest Common Factor of Numerators i.e. GCF of 2946,4055 is 1 .
LCM of Denominators means LCM of 153,179 as per the given fractions.
LCM of 153,179 is 27387 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2946,4055
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2946
List of positive integer factors of 2946 that divides 2946 without a remainder.
1,2,3,6,491,982,1473,2946
Factors of 4055
List of positive integer factors of 4055 that divides 4055 without a remainder.
1,5,811,4055
Greatest Common Factor
We found the factors 2946,4055 . The biggest common factor number is the GCF number.
So the greatest common factor 2946,4055 is 1.
Lets's calculate LCM of 153,179
Given numbers has no common factors except 1. So, there LCM is their product i.e 27387
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27387
Therefore, the GCF of Fractions 2946/153,4055/179 is 1/27387
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 153,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,179) x common factors =1 x 1 = 1
LCM(153,179) = ( 153 × 179 ) / 1
LCM(153,179) = 27387 / 1
LCM(153,179) = 27387
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 2946/153, 4055/179?
Answer: GCF of Numerators as per given numbers 2946/153, 4055/179 is
GCF of Numerators i.e. for 2946,4055 is 1
LCM of denominators i.e. for 153,179 is 27387.
Thus, GCF of Fractions is 1/27387.Finally, GCF of Fractions for 2946/153, 4055/179 is 1/27387.