Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8204/56,5138/326
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 8204,5138
Greatest Common Factor of Numerators i.e. GCF of 8204,5138 is 14 .
LCM of Denominators means LCM of 56,326 as per the given fractions.
LCM of 56,326 is 9128 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8204,5138
2 | 8204, 5138 |
7 | 4102, 2569 |
586, 367 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 8204
List of positive integer factors of 8204 that divides 8204 without a remainder.
1,2,4,7,14,28,293,586,1172,2051,4102,8204
Factors of 5138
List of positive integer factors of 5138 that divides 5138 without a remainder.
1,2,7,14,367,734,2569,5138
Greatest Common Factor
We found the factors 8204,5138 . The biggest common factor number is the GCF number.
So the greatest common factor 8204,5138 is 14.
Lets's calculate LCM of 56,326
2 | 56, 326 |
28, 163 |
∴ So the LCM of the given numbers is 2 x 28 x 163 = 9128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/9128
Therefore, the GCF of Fractions 8204/56,5138/326 is 14/9128
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 56,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(56,326) x common factors =2 x 1 = 2
LCM(56,326) = ( 56 × 326 ) / 2
LCM(56,326) = 18256 / 2
LCM(56,326) = 9128
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 8204/56, 5138/326?
Answer: GCF of Numerators as per given numbers 8204/56, 5138/326 is
GCF of Numerators i.e. for 8204,5138 is 14
LCM of denominators i.e. for 56,326 is 9128.
Thus, GCF of Fractions is 14/9128.Finally, GCF of Fractions for 8204/56, 5138/326 is 14/9128.