Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6877/893,8486/4985
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 6877,8486
Greatest Common Factor of Numerators i.e. GCF of 6877,8486 is 1 .
LCM of Denominators means LCM of 893,4985 as per the given fractions.
LCM of 893,4985 is 4451605 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6877,8486
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6877
List of positive integer factors of 6877 that divides 6877 without a remainder.
1,13,23,299,529,6877
Factors of 8486
List of positive integer factors of 8486 that divides 8486 without a remainder.
1,2,4243,8486
Greatest Common Factor
We found the factors 6877,8486 . The biggest common factor number is the GCF number.
So the greatest common factor 6877,8486 is 1.
Lets's calculate LCM of 893,4985
Given numbers has no common factors except 1. So, there LCM is their product i.e 4451605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4451605
Therefore, the GCF of Fractions 6877/893,8486/4985 is 1/4451605
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 893,4985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,4985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,4985) x common factors =1 x 1 = 1
LCM(893,4985) = ( 893 × 4985 ) / 1
LCM(893,4985) = 4451605 / 1
LCM(893,4985) = 4451605
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 6877/893, 8486/4985?
Answer: GCF of Numerators as per given numbers 6877/893, 8486/4985 is
GCF of Numerators i.e. for 6877,8486 is 1
LCM of denominators i.e. for 893,4985 is 4451605.
Thus, GCF of Fractions is 1/4451605.Finally, GCF of Fractions for 6877/893, 8486/4985 is 1/4451605.