Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 209/453,5609/7230
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 209,5609
Greatest Common Factor of Numerators i.e. GCF of 209,5609 is 1 .
LCM of Denominators means LCM of 453,7230 as per the given fractions.
LCM of 453,7230 is 1091730 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 209,5609
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 5609
List of positive integer factors of 5609 that divides 5609 without a remainder.
1,71,79,5609
Greatest Common Factor
We found the factors 209,5609 . The biggest common factor number is the GCF number.
So the greatest common factor 209,5609 is 1.
Lets's calculate LCM of 453,7230
3 | 453, 7230 |
151, 2410 |
∴ So the LCM of the given numbers is 3 x 151 x 2410 = 1091730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1091730
Therefore, the GCF of Fractions 209/453,5609/7230 is 1/1091730
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 453,7230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,7230) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(453,7230) x common factors =3 x 1 = 3
LCM(453,7230) = ( 453 × 7230 ) / 3
LCM(453,7230) = 3275190 / 3
LCM(453,7230) = 1091730
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 209/453, 5609/7230?
Answer: GCF of Numerators as per given numbers 209/453, 5609/7230 is
GCF of Numerators i.e. for 209,5609 is 1
LCM of denominators i.e. for 453,7230 is 1091730.
Thus, GCF of Fractions is 1/1091730.Finally, GCF of Fractions for 209/453, 5609/7230 is 1/1091730.