Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 552/81,193/6130
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 552,193
Greatest Common Factor of Numerators i.e. GCF of 552,193 is 1 .
LCM of Denominators means LCM of 81,6130 as per the given fractions.
LCM of 81,6130 is 496530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 552,193
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Greatest Common Factor
We found the factors 552,193 . The biggest common factor number is the GCF number.
So the greatest common factor 552,193 is 1.
Lets's calculate LCM of 81,6130
Given numbers has no common factors except 1. So, there LCM is their product i.e 496530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/496530
Therefore, the GCF of Fractions 552/81,193/6130 is 1/496530
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 81,6130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,6130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,6130) x common factors =1 x 1 = 1
LCM(81,6130) = ( 81 × 6130 ) / 1
LCM(81,6130) = 496530 / 1
LCM(81,6130) = 496530
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 552/81, 193/6130?
Answer: GCF of Numerators as per given numbers 552/81, 193/6130 is
GCF of Numerators i.e. for 552,193 is 1
LCM of denominators i.e. for 81,6130 is 496530.
Thus, GCF of Fractions is 1/496530.Finally, GCF of Fractions for 552/81, 193/6130 is 1/496530.