Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5281/927,3365/3429
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 5281,3365
Greatest Common Factor of Numerators i.e. GCF of 5281,3365 is 1 .
LCM of Denominators means LCM of 927,3429 as per the given fractions.
LCM of 927,3429 is 353187 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5281,3365
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5281
List of positive integer factors of 5281 that divides 5281 without a remainder.
1,5281
Factors of 3365
List of positive integer factors of 3365 that divides 3365 without a remainder.
1,5,673,3365
Greatest Common Factor
We found the factors 5281,3365 . The biggest common factor number is the GCF number.
So the greatest common factor 5281,3365 is 1.
Lets's calculate LCM of 927,3429
3 | 927, 3429 |
3 | 309, 1143 |
103, 381 |
∴ So the LCM of the given numbers is 3 x 3 x 103 x 381 = 353187
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/353187
Therefore, the GCF of Fractions 5281/927,3365/3429 is 1/353187
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 927,3429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,3429) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(927,3429) x common factors =9 x 1 = 9
LCM(927,3429) = ( 927 × 3429 ) / 9
LCM(927,3429) = 3178683 / 9
LCM(927,3429) = 353187
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 5281/927, 3365/3429?
Answer: GCF of Numerators as per given numbers 5281/927, 3365/3429 is
GCF of Numerators i.e. for 5281,3365 is 1
LCM of denominators i.e. for 927,3429 is 353187.
Thus, GCF of Fractions is 1/353187.Finally, GCF of Fractions for 5281/927, 3365/3429 is 1/353187.