Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 333/332,652/623,261/135
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 333,652,261
Greatest Common Factor of Numerators i.e. GCF of 333,652,261 is 1 .
LCM of Denominators means LCM of 332,623,135 as per the given fractions.
LCM of 332,623,135 is 27922860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 333,652,261
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Greatest Common Factor
We found the factors 333,652,261 . The biggest common factor number is the GCF number.
So the greatest common factor 333,652,261 is 1.
Lets's calculate LCM of 332,623,135
Given numbers has no common factors except 1. So, there LCM is their product i.e 27922860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27922860
Therefore, the GCF of Fractions 333/332,652/623,261/135 is 1/27922860
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 332,623,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,623,135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(332,623,135) x common factors =1 x 1 = 1
LCM(332,623,135) = ( 332 × 623 × 135 ) / 1
LCM(332,623,135) = 27922860 / 1
LCM(332,623,135) = 27922860
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 333/332, 652/623, 261/135?
Answer: GCF of Numerators as per given numbers 333/332, 652/623, 261/135 is
GCF of Numerators i.e. for 333,652,261 is 1
LCM of denominators i.e. for 332,623,135 is 27922860.
Thus, GCF of Fractions is 1/27922860.Finally, GCF of Fractions for 333/332, 652/623, 261/135 is 1/27922860.