Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4381/788,9783/345
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 4381,9783
Greatest Common Factor of Numerators i.e. GCF of 4381,9783 is 1 .
LCM of Denominators means LCM of 788,345 as per the given fractions.
LCM of 788,345 is 271860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4381,9783
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4381
List of positive integer factors of 4381 that divides 4381 without a remainder.
1,13,337,4381
Factors of 9783
List of positive integer factors of 9783 that divides 9783 without a remainder.
1,3,9,1087,3261,9783
Greatest Common Factor
We found the factors 4381,9783 . The biggest common factor number is the GCF number.
So the greatest common factor 4381,9783 is 1.
Lets's calculate LCM of 788,345
Given numbers has no common factors except 1. So, there LCM is their product i.e 271860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271860
Therefore, the GCF of Fractions 4381/788,9783/345 is 1/271860
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 788,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(788,345) x common factors =1 x 1 = 1
LCM(788,345) = ( 788 × 345 ) / 1
LCM(788,345) = 271860 / 1
LCM(788,345) = 271860
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 4381/788, 9783/345?
Answer: GCF of Numerators as per given numbers 4381/788, 9783/345 is
GCF of Numerators i.e. for 4381,9783 is 1
LCM of denominators i.e. for 788,345 is 271860.
Thus, GCF of Fractions is 1/271860.Finally, GCF of Fractions for 4381/788, 9783/345 is 1/271860.