Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 182/93,133/5593
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 182,133
Greatest Common Factor of Numerators i.e. GCF of 182,133 is 7 .
LCM of Denominators means LCM of 93,5593 as per the given fractions.
LCM of 93,5593 is 520149 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 182,133
7 | 182, 133 |
26, 19 |
∴ 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 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Greatest Common Factor
We found the factors 182,133 . The biggest common factor number is the GCF number.
So the greatest common factor 182,133 is 7.
Lets's calculate LCM of 93,5593
Given numbers has no common factors except 1. So, there LCM is their product i.e 520149
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/520149
Therefore, the GCF of Fractions 182/93,133/5593 is 7/520149
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 93,5593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,5593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,5593) x common factors =1 x 1 = 1
LCM(93,5593) = ( 93 × 5593 ) / 1
LCM(93,5593) = 520149 / 1
LCM(93,5593) = 520149
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 182/93, 133/5593?
Answer: GCF of Numerators as per given numbers 182/93, 133/5593 is
GCF of Numerators i.e. for 182,133 is 7
LCM of denominators i.e. for 93,5593 is 520149.
Thus, GCF of Fractions is 7/520149.Finally, GCF of Fractions for 182/93, 133/5593 is 7/520149.