Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9783/675,6846/7487
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 9783,6846
Greatest Common Factor of Numerators i.e. GCF of 9783,6846 is 3 .
LCM of Denominators means LCM of 675,7487 as per the given fractions.
LCM of 675,7487 is 5053725 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9783,6846
3 | 9783, 6846 |
3261, 2282 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9783
List of positive integer factors of 9783 that divides 9783 without a remainder.
1,3,9,1087,3261,9783
Factors of 6846
List of positive integer factors of 6846 that divides 6846 without a remainder.
1,2,3,6,7,14,21,42,163,326,489,978,1141,2282,3423,6846
Greatest Common Factor
We found the factors 9783,6846 . The biggest common factor number is the GCF number.
So the greatest common factor 9783,6846 is 3.
Lets's calculate LCM of 675,7487
Given numbers has no common factors except 1. So, there LCM is their product i.e 5053725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5053725
Therefore, the GCF of Fractions 9783/675,6846/7487 is 3/5053725
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 675,7487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,7487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(675,7487) x common factors =1 x 1 = 1
LCM(675,7487) = ( 675 × 7487 ) / 1
LCM(675,7487) = 5053725 / 1
LCM(675,7487) = 5053725
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 9783/675, 6846/7487?
Answer: GCF of Numerators as per given numbers 9783/675, 6846/7487 is
GCF of Numerators i.e. for 9783,6846 is 3
LCM of denominators i.e. for 675,7487 is 5053725.
Thus, GCF of Fractions is 3/5053725.Finally, GCF of Fractions for 9783/675, 6846/7487 is 3/5053725.