Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3327/857,1509/9248
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 3327,1509
Greatest Common Factor of Numerators i.e. GCF of 3327,1509 is 3 .
LCM of Denominators means LCM of 857,9248 as per the given fractions.
LCM of 857,9248 is 7925536 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3327,1509
3 | 3327, 1509 |
1109, 503 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3327
List of positive integer factors of 3327 that divides 3327 without a remainder.
1,3,1109,3327
Factors of 1509
List of positive integer factors of 1509 that divides 1509 without a remainder.
1,3,503,1509
Greatest Common Factor
We found the factors 3327,1509 . The biggest common factor number is the GCF number.
So the greatest common factor 3327,1509 is 3.
Lets's calculate LCM of 857,9248
Given numbers has no common factors except 1. So, there LCM is their product i.e 7925536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7925536
Therefore, the GCF of Fractions 3327/857,1509/9248 is 3/7925536
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 857,9248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,9248) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,9248) x common factors =1 x 1 = 1
LCM(857,9248) = ( 857 × 9248 ) / 1
LCM(857,9248) = 7925536 / 1
LCM(857,9248) = 7925536
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 3327/857, 1509/9248?
Answer: GCF of Numerators as per given numbers 3327/857, 1509/9248 is
GCF of Numerators i.e. for 3327,1509 is 3
LCM of denominators i.e. for 857,9248 is 7925536.
Thus, GCF of Fractions is 3/7925536.Finally, GCF of Fractions for 3327/857, 1509/9248 is 3/7925536.