Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 190/96,231/56,747/743
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 190,231,747
Greatest Common Factor of Numerators i.e. GCF of 190,231,747 is 1 .
LCM of Denominators means LCM of 96,56,743 as per the given fractions.
LCM of 96,56,743 is 499296 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 190,231,747
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Greatest Common Factor
We found the factors 190,231,747 . The biggest common factor number is the GCF number.
So the greatest common factor 190,231,747 is 1.
Lets's calculate LCM of 96,56,743
2 | 96, 56, 743 |
2 | 48, 28, 743 |
2 | 24, 14, 743 |
12, 7, 743 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 12 x 7 x 743 = 499296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/499296
Therefore, the GCF of Fractions 190/96,231/56,747/743 is 1/499296
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 96,56,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,56,743) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(96,56,743) x common factors =1 x 8 = 8
LCM(96,56,743) = ( 96 × 56 × 743 ) / 8
LCM(96,56,743) = 3994368 / 8
LCM(96,56,743) = 499296
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 190/96, 231/56, 747/743?
Answer: GCF of Numerators as per given numbers 190/96, 231/56, 747/743 is
GCF of Numerators i.e. for 190,231,747 is 1
LCM of denominators i.e. for 96,56,743 is 499296.
Thus, GCF of Fractions is 1/499296.Finally, GCF of Fractions for 190/96, 231/56, 747/743 is 1/499296.