Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 193/62,9033/310
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 193,9033
Greatest Common Factor of Numerators i.e. GCF of 193,9033 is 1 .
LCM of Denominators means LCM of 62,310 as per the given fractions.
LCM of 62,310 is 310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 193,9033
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Factors of 9033
List of positive integer factors of 9033 that divides 9033 without a remainder.
1,3,3011,9033
Greatest Common Factor
We found the factors 193,9033 . The biggest common factor number is the GCF number.
So the greatest common factor 193,9033 is 1.
Lets's calculate LCM of 62,310
2 | 62, 310 |
31 | 31, 155 |
1, 5 |
∴ So the LCM of the given numbers is 2 x 31 x 1 x 5 = 310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310
Therefore, the GCF of Fractions 193/62,9033/310 is 1/310
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 62,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,310) = 62
common factors(in case of two or more numbers have common factors) = 1
GCF(62,310) x common factors =62 x 1 = 62
LCM(62,310) = ( 62 × 310 ) / 62
LCM(62,310) = 19220 / 62
LCM(62,310) = 310
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 193/62, 9033/310?
Answer: GCF of Numerators as per given numbers 193/62, 9033/310 is
GCF of Numerators i.e. for 193,9033 is 1
LCM of denominators i.e. for 62,310 is 310.
Thus, GCF of Fractions is 1/310.Finally, GCF of Fractions for 193/62, 9033/310 is 1/310.