Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 176/118,9055/944
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 176,9055
Greatest Common Factor of Numerators i.e. GCF of 176,9055 is 1 .
LCM of Denominators means LCM of 118,944 as per the given fractions.
LCM of 118,944 is 944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 176,9055
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Factors of 9055
List of positive integer factors of 9055 that divides 9055 without a remainder.
1,5,1811,9055
Greatest Common Factor
We found the factors 176,9055 . The biggest common factor number is the GCF number.
So the greatest common factor 176,9055 is 1.
Lets's calculate LCM of 118,944
2 | 118, 944 |
59 | 59, 472 |
1, 8 |
∴ So the LCM of the given numbers is 2 x 59 x 1 x 8 = 944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/944
Therefore, the GCF of Fractions 176/118,9055/944 is 1/944
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 118,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,944) = 118
common factors(in case of two or more numbers have common factors) = 1
GCF(118,944) x common factors =118 x 1 = 118
LCM(118,944) = ( 118 × 944 ) / 118
LCM(118,944) = 111392 / 118
LCM(118,944) = 944
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 176/118, 9055/944?
Answer: GCF of Numerators as per given numbers 176/118, 9055/944 is
GCF of Numerators i.e. for 176,9055 is 1
LCM of denominators i.e. for 118,944 is 944.
Thus, GCF of Fractions is 1/944.Finally, GCF of Fractions for 176/118, 9055/944 is 1/944.