Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1385/873,8333/410
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 1385,8333
Greatest Common Factor of Numerators i.e. GCF of 1385,8333 is 1 .
LCM of Denominators means LCM of 873,410 as per the given fractions.
LCM of 873,410 is 357930 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1385,8333
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1385
List of positive integer factors of 1385 that divides 1385 without a remainder.
1,5,277,1385
Factors of 8333
List of positive integer factors of 8333 that divides 8333 without a remainder.
1,13,641,8333
Greatest Common Factor
We found the factors 1385,8333 . The biggest common factor number is the GCF number.
So the greatest common factor 1385,8333 is 1.
Lets's calculate LCM of 873,410
Given numbers has no common factors except 1. So, there LCM is their product i.e 357930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/357930
Therefore, the GCF of Fractions 1385/873,8333/410 is 1/357930
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 873,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,410) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,410) x common factors =1 x 1 = 1
LCM(873,410) = ( 873 × 410 ) / 1
LCM(873,410) = 357930 / 1
LCM(873,410) = 357930
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 1385/873, 8333/410?
Answer: GCF of Numerators as per given numbers 1385/873, 8333/410 is
GCF of Numerators i.e. for 1385,8333 is 1
LCM of denominators i.e. for 873,410 is 357930.
Thus, GCF of Fractions is 1/357930.Finally, GCF of Fractions for 1385/873, 8333/410 is 1/357930.