Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/306,475/766
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 96,475
Greatest Common Factor of Numerators i.e. GCF of 96,475 is 1 .
LCM of Denominators means LCM of 306,766 as per the given fractions.
LCM of 306,766 is 117198 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 96,475
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Greatest Common Factor
We found the factors 96,475 . The biggest common factor number is the GCF number.
So the greatest common factor 96,475 is 1.
Lets's calculate LCM of 306,766
2 | 306, 766 |
153, 383 |
∴ So the LCM of the given numbers is 2 x 153 x 383 = 117198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117198
Therefore, the GCF of Fractions 96/306,475/766 is 1/117198
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 306,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(306,766) x common factors =2 x 1 = 2
LCM(306,766) = ( 306 × 766 ) / 2
LCM(306,766) = 234396 / 2
LCM(306,766) = 117198
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 96/306, 475/766?
Answer: GCF of Numerators as per given numbers 96/306, 475/766 is
GCF of Numerators i.e. for 96,475 is 1
LCM of denominators i.e. for 306,766 is 117198.
Thus, GCF of Fractions is 1/117198.Finally, GCF of Fractions for 96/306, 475/766 is 1/117198.