Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 333/82,625/23,153/948
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 333,625,153
Greatest Common Factor of Numerators i.e. GCF of 333,625,153 is 1 .
LCM of Denominators means LCM of 82,23,948 as per the given fractions.
LCM of 82,23,948 is 893964 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 333,625,153
∴ 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 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Greatest Common Factor
We found the factors 333,625,153 . The biggest common factor number is the GCF number.
So the greatest common factor 333,625,153 is 1.
Lets's calculate LCM of 82,23,948
2 | 82, 23, 948 |
41, 23, 474 |
∴ So the LCM of the given numbers is 2 x 41 x 23 x 474 = 893964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/893964
Therefore, the GCF of Fractions 333/82,625/23,153/948 is 1/893964
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 82,23,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,23,948) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(82,23,948) x common factors =1 x 2 = 2
LCM(82,23,948) = ( 82 × 23 × 948 ) / 2
LCM(82,23,948) = 1787928 / 2
LCM(82,23,948) = 893964
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 333/82, 625/23, 153/948?
Answer: GCF of Numerators as per given numbers 333/82, 625/23, 153/948 is
GCF of Numerators i.e. for 333,625,153 is 1
LCM of denominators i.e. for 82,23,948 is 893964.
Thus, GCF of Fractions is 1/893964.Finally, GCF of Fractions for 333/82, 625/23, 153/948 is 1/893964.