Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7209/261,5667/360
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 7209,5667
Greatest Common Factor of Numerators i.e. GCF of 7209,5667 is 3 .
LCM of Denominators means LCM of 261,360 as per the given fractions.
LCM of 261,360 is 10440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7209,5667
3 | 7209, 5667 |
2403, 1889 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7209
List of positive integer factors of 7209 that divides 7209 without a remainder.
1,3,9,27,81,89,267,801,2403,7209
Factors of 5667
List of positive integer factors of 5667 that divides 5667 without a remainder.
1,3,1889,5667
Greatest Common Factor
We found the factors 7209,5667 . The biggest common factor number is the GCF number.
So the greatest common factor 7209,5667 is 3.
Lets's calculate LCM of 261,360
3 | 261, 360 |
3 | 87, 120 |
29, 40 |
∴ So the LCM of the given numbers is 3 x 3 x 29 x 40 = 10440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10440
Therefore, the GCF of Fractions 7209/261,5667/360 is 3/10440
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 261,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,360) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(261,360) x common factors =9 x 1 = 9
LCM(261,360) = ( 261 × 360 ) / 9
LCM(261,360) = 93960 / 9
LCM(261,360) = 10440
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 7209/261, 5667/360?
Answer: GCF of Numerators as per given numbers 7209/261, 5667/360 is
GCF of Numerators i.e. for 7209,5667 is 3
LCM of denominators i.e. for 261,360 is 10440.
Thus, GCF of Fractions is 3/10440.Finally, GCF of Fractions for 7209/261, 5667/360 is 3/10440.