Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 311/54,974/68,785/71
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 311,974,785
Greatest Common Factor of Numerators i.e. GCF of 311,974,785 is 1 .
LCM of Denominators means LCM of 54,68,71 as per the given fractions.
LCM of 54,68,71 is 130356 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 311,974,785
∴ 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 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Greatest Common Factor
We found the factors 311,974,785 . The biggest common factor number is the GCF number.
So the greatest common factor 311,974,785 is 1.
Lets's calculate LCM of 54,68,71
2 | 54, 68, 71 |
27, 34, 71 |
∴ So the LCM of the given numbers is 2 x 27 x 34 x 71 = 130356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130356
Therefore, the GCF of Fractions 311/54,974/68,785/71 is 1/130356
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 54,68,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,68,71) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(54,68,71) x common factors =1 x 2 = 2
LCM(54,68,71) = ( 54 × 68 × 71 ) / 2
LCM(54,68,71) = 260712 / 2
LCM(54,68,71) = 130356
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 311/54, 974/68, 785/71?
Answer: GCF of Numerators as per given numbers 311/54, 974/68, 785/71 is
GCF of Numerators i.e. for 311,974,785 is 1
LCM of denominators i.e. for 54,68,71 is 130356.
Thus, GCF of Fractions is 1/130356.Finally, GCF of Fractions for 311/54, 974/68, 785/71 is 1/130356.