Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 194/566,107/724
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 194,107
Greatest Common Factor of Numerators i.e. GCF of 194,107 is 1 .
LCM of Denominators means LCM of 566,724 as per the given fractions.
LCM of 566,724 is 204892 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 194,107
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Factors of 107
List of positive integer factors of 107 that divides 107 without a remainder.
1,107
Greatest Common Factor
We found the factors 194,107 . The biggest common factor number is the GCF number.
So the greatest common factor 194,107 is 1.
Lets's calculate LCM of 566,724
2 | 566, 724 |
283, 362 |
∴ So the LCM of the given numbers is 2 x 283 x 362 = 204892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204892
Therefore, the GCF of Fractions 194/566,107/724 is 1/204892
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 566,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,724) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(566,724) x common factors =2 x 1 = 2
LCM(566,724) = ( 566 × 724 ) / 2
LCM(566,724) = 409784 / 2
LCM(566,724) = 204892
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 194/566, 107/724?
Answer: GCF of Numerators as per given numbers 194/566, 107/724 is
GCF of Numerators i.e. for 194,107 is 1
LCM of denominators i.e. for 566,724 is 204892.
Thus, GCF of Fractions is 1/204892.Finally, GCF of Fractions for 194/566, 107/724 is 1/204892.