Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5482/208,5491/3684
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 5482,5491
Greatest Common Factor of Numerators i.e. GCF of 5482,5491 is 1 .
LCM of Denominators means LCM of 208,3684 as per the given fractions.
LCM of 208,3684 is 191568 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5482,5491
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5482
List of positive integer factors of 5482 that divides 5482 without a remainder.
1,2,2741,5482
Factors of 5491
List of positive integer factors of 5491 that divides 5491 without a remainder.
1,17,19,289,323,5491
Greatest Common Factor
We found the factors 5482,5491 . The biggest common factor number is the GCF number.
So the greatest common factor 5482,5491 is 1.
Lets's calculate LCM of 208,3684
2 | 208, 3684 |
2 | 104, 1842 |
52, 921 |
∴ So the LCM of the given numbers is 2 x 2 x 52 x 921 = 191568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191568
Therefore, the GCF of Fractions 5482/208,5491/3684 is 1/191568
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 208,3684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,3684) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(208,3684) x common factors =4 x 1 = 4
LCM(208,3684) = ( 208 × 3684 ) / 4
LCM(208,3684) = 766272 / 4
LCM(208,3684) = 191568
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 5482/208, 5491/3684?
Answer: GCF of Numerators as per given numbers 5482/208, 5491/3684 is
GCF of Numerators i.e. for 5482,5491 is 1
LCM of denominators i.e. for 208,3684 is 191568.
Thus, GCF of Fractions is 1/191568.Finally, GCF of Fractions for 5482/208, 5491/3684 is 1/191568.