Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/182,6/311
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 6,6
Greatest Common Factor of Numerators i.e. GCF of 6,6 is 6 .
LCM of Denominators means LCM of 182,311 as per the given fractions.
LCM of 182,311 is 56602 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,6
2 | 6, 6 |
3 | 3, 3 |
1, 1 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Greatest Common Factor
We found the factors 6,6 . The biggest common factor number is the GCF number.
So the greatest common factor 6,6 is 6.
Lets's calculate LCM of 182,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 56602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/56602
Therefore, the GCF of Fractions 6/182,6/311 is 6/56602
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 182,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(182,311) x common factors =1 x 1 = 1
LCM(182,311) = ( 182 × 311 ) / 1
LCM(182,311) = 56602 / 1
LCM(182,311) = 56602
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 6/182, 6/311?
Answer: GCF of Numerators as per given numbers 6/182, 6/311 is
GCF of Numerators i.e. for 6,6 is 6
LCM of denominators i.e. for 182,311 is 56602.
Thus, GCF of Fractions is 6/56602.Finally, GCF of Fractions for 6/182, 6/311 is 6/56602.