Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6531/18,6506/266
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 6531,6506
Greatest Common Factor of Numerators i.e. GCF of 6531,6506 is 1 .
LCM of Denominators means LCM of 18,266 as per the given fractions.
LCM of 18,266 is 2394 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6531,6506
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6531
List of positive integer factors of 6531 that divides 6531 without a remainder.
1,3,7,21,311,933,2177,6531
Factors of 6506
List of positive integer factors of 6506 that divides 6506 without a remainder.
1,2,3253,6506
Greatest Common Factor
We found the factors 6531,6506 . The biggest common factor number is the GCF number.
So the greatest common factor 6531,6506 is 1.
Lets's calculate LCM of 18,266
2 | 18, 266 |
9, 133 |
∴ So the LCM of the given numbers is 2 x 9 x 133 = 2394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2394
Therefore, the GCF of Fractions 6531/18,6506/266 is 1/2394
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 18,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,266) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(18,266) x common factors =2 x 1 = 2
LCM(18,266) = ( 18 × 266 ) / 2
LCM(18,266) = 4788 / 2
LCM(18,266) = 2394
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 6531/18, 6506/266?
Answer: GCF of Numerators as per given numbers 6531/18, 6506/266 is
GCF of Numerators i.e. for 6531,6506 is 1
LCM of denominators i.e. for 18,266 is 2394.
Thus, GCF of Fractions is 1/2394.Finally, GCF of Fractions for 6531/18, 6506/266 is 1/2394.