Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3094/82,3194/566
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 3094,3194
Greatest Common Factor of Numerators i.e. GCF of 3094,3194 is 2 .
LCM of Denominators means LCM of 82,566 as per the given fractions.
LCM of 82,566 is 23206 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3094,3194
2 | 3094, 3194 |
1547, 1597 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3094
List of positive integer factors of 3094 that divides 3094 without a remainder.
1,2,7,13,14,17,26,34,91,119,182,221,238,442,1547,3094
Factors of 3194
List of positive integer factors of 3194 that divides 3194 without a remainder.
1,2,1597,3194
Greatest Common Factor
We found the factors 3094,3194 . The biggest common factor number is the GCF number.
So the greatest common factor 3094,3194 is 2.
Lets's calculate LCM of 82,566
2 | 82, 566 |
41, 283 |
∴ So the LCM of the given numbers is 2 x 41 x 283 = 23206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23206
Therefore, the GCF of Fractions 3094/82,3194/566 is 2/23206
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 82,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,566) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,566) x common factors =2 x 1 = 2
LCM(82,566) = ( 82 × 566 ) / 2
LCM(82,566) = 46412 / 2
LCM(82,566) = 23206
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 3094/82, 3194/566?
Answer: GCF of Numerators as per given numbers 3094/82, 3194/566 is
GCF of Numerators i.e. for 3094,3194 is 2
LCM of denominators i.e. for 82,566 is 23206.
Thus, GCF of Fractions is 2/23206.Finally, GCF of Fractions for 3094/82, 3194/566 is 2/23206.