Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4783/629,9341/9285
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 4783,9341
Greatest Common Factor of Numerators i.e. GCF of 4783,9341 is 1 .
LCM of Denominators means LCM of 629,9285 as per the given fractions.
LCM of 629,9285 is 5840265 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4783,9341
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4783
List of positive integer factors of 4783 that divides 4783 without a remainder.
1,4783
Factors of 9341
List of positive integer factors of 9341 that divides 9341 without a remainder.
1,9341
Greatest Common Factor
We found the factors 4783,9341 . The biggest common factor number is the GCF number.
So the greatest common factor 4783,9341 is 1.
Lets's calculate LCM of 629,9285
Given numbers has no common factors except 1. So, there LCM is their product i.e 5840265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5840265
Therefore, the GCF of Fractions 4783/629,9341/9285 is 1/5840265
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 629,9285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,9285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,9285) x common factors =1 x 1 = 1
LCM(629,9285) = ( 629 × 9285 ) / 1
LCM(629,9285) = 5840265 / 1
LCM(629,9285) = 5840265
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 4783/629, 9341/9285?
Answer: GCF of Numerators as per given numbers 4783/629, 9341/9285 is
GCF of Numerators i.e. for 4783,9341 is 1
LCM of denominators i.e. for 629,9285 is 5840265.
Thus, GCF of Fractions is 1/5840265.Finally, GCF of Fractions for 4783/629, 9341/9285 is 1/5840265.