Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 334/332,4665/543
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 334,4665
Greatest Common Factor of Numerators i.e. GCF of 334,4665 is 1 .
LCM of Denominators means LCM of 332,543 as per the given fractions.
LCM of 332,543 is 180276 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 334,4665
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Factors of 4665
List of positive integer factors of 4665 that divides 4665 without a remainder.
1,3,5,15,311,933,1555,4665
Greatest Common Factor
We found the factors 334,4665 . The biggest common factor number is the GCF number.
So the greatest common factor 334,4665 is 1.
Lets's calculate LCM of 332,543
Given numbers has no common factors except 1. So, there LCM is their product i.e 180276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180276
Therefore, the GCF of Fractions 334/332,4665/543 is 1/180276
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 332,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,543) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(332,543) x common factors =1 x 1 = 1
LCM(332,543) = ( 332 × 543 ) / 1
LCM(332,543) = 180276 / 1
LCM(332,543) = 180276
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 334/332, 4665/543?
Answer: GCF of Numerators as per given numbers 334/332, 4665/543 is
GCF of Numerators i.e. for 334,4665 is 1
LCM of denominators i.e. for 332,543 is 180276.
Thus, GCF of Fractions is 1/180276.Finally, GCF of Fractions for 334/332, 4665/543 is 1/180276.