Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 311/182,345/437,454/729
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 311,345,454
Greatest Common Factor of Numerators i.e. GCF of 311,345,454 is 1 .
LCM of Denominators means LCM of 182,437,729 as per the given fractions.
LCM of 182,437,729 is 57980286 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 311,345,454
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 311
List of positive integer factors of 311 that divides 311 without a remainder.
1,311
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Greatest Common Factor
We found the factors 311,345,454 . The biggest common factor number is the GCF number.
So the greatest common factor 311,345,454 is 1.
Lets's calculate LCM of 182,437,729
Given numbers has no common factors except 1. So, there LCM is their product i.e 57980286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57980286
Therefore, the GCF of Fractions 311/182,345/437,454/729 is 1/57980286
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 182,437,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,437,729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(182,437,729) x common factors =1 x 1 = 1
LCM(182,437,729) = ( 182 × 437 × 729 ) / 1
LCM(182,437,729) = 57980286 / 1
LCM(182,437,729) = 57980286
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 311/182, 345/437, 454/729?
Answer: GCF of Numerators as per given numbers 311/182, 345/437, 454/729 is
GCF of Numerators i.e. for 311,345,454 is 1
LCM of denominators i.e. for 182,437,729 is 57980286.
Thus, GCF of Fractions is 1/57980286.Finally, GCF of Fractions for 311/182, 345/437, 454/729 is 1/57980286.