Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4607/863,5787/833
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 4607,5787
Greatest Common Factor of Numerators i.e. GCF of 4607,5787 is 1 .
LCM of Denominators means LCM of 863,833 as per the given fractions.
LCM of 863,833 is 718879 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4607,5787
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4607
List of positive integer factors of 4607 that divides 4607 without a remainder.
1,17,271,4607
Factors of 5787
List of positive integer factors of 5787 that divides 5787 without a remainder.
1,3,9,643,1929,5787
Greatest Common Factor
We found the factors 4607,5787 . The biggest common factor number is the GCF number.
So the greatest common factor 4607,5787 is 1.
Lets's calculate LCM of 863,833
Given numbers has no common factors except 1. So, there LCM is their product i.e 718879
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/718879
Therefore, the GCF of Fractions 4607/863,5787/833 is 1/718879
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 863,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,833) x common factors =1 x 1 = 1
LCM(863,833) = ( 863 × 833 ) / 1
LCM(863,833) = 718879 / 1
LCM(863,833) = 718879
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 4607/863, 5787/833?
Answer: GCF of Numerators as per given numbers 4607/863, 5787/833 is
GCF of Numerators i.e. for 4607,5787 is 1
LCM of denominators i.e. for 863,833 is 718879.
Thus, GCF of Fractions is 1/718879.Finally, GCF of Fractions for 4607/863, 5787/833 is 1/718879.