Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 182/96,9303/175
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 182,9303
Greatest Common Factor of Numerators i.e. GCF of 182,9303 is 7 .
LCM of Denominators means LCM of 96,175 as per the given fractions.
LCM of 96,175 is 16800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 182,9303
7 | 182, 9303 |
26, 1329 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 9303
List of positive integer factors of 9303 that divides 9303 without a remainder.
1,3,7,21,443,1329,3101,9303
Greatest Common Factor
We found the factors 182,9303 . The biggest common factor number is the GCF number.
So the greatest common factor 182,9303 is 7.
Lets's calculate LCM of 96,175
Given numbers has no common factors except 1. So, there LCM is their product i.e 16800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/16800
Therefore, the GCF of Fractions 182/96,9303/175 is 7/16800
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 96,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,175) x common factors =1 x 1 = 1
LCM(96,175) = ( 96 × 175 ) / 1
LCM(96,175) = 16800 / 1
LCM(96,175) = 16800
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 182/96, 9303/175?
Answer: GCF of Numerators as per given numbers 182/96, 9303/175 is
GCF of Numerators i.e. for 182,9303 is 7
LCM of denominators i.e. for 96,175 is 16800.
Thus, GCF of Fractions is 7/16800.Finally, GCF of Fractions for 182/96, 9303/175 is 7/16800.