Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8376/618,8807/6163
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 8376,8807
Greatest Common Factor of Numerators i.e. GCF of 8376,8807 is 1 .
LCM of Denominators means LCM of 618,6163 as per the given fractions.
LCM of 618,6163 is 3808734 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8376,8807
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8376
List of positive integer factors of 8376 that divides 8376 without a remainder.
1,2,3,4,6,8,12,24,349,698,1047,1396,2094,2792,4188,8376
Factors of 8807
List of positive integer factors of 8807 that divides 8807 without a remainder.
1,8807
Greatest Common Factor
We found the factors 8376,8807 . The biggest common factor number is the GCF number.
So the greatest common factor 8376,8807 is 1.
Lets's calculate LCM of 618,6163
Given numbers has no common factors except 1. So, there LCM is their product i.e 3808734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3808734
Therefore, the GCF of Fractions 8376/618,8807/6163 is 1/3808734
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 618,6163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,6163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(618,6163) x common factors =1 x 1 = 1
LCM(618,6163) = ( 618 × 6163 ) / 1
LCM(618,6163) = 3808734 / 1
LCM(618,6163) = 3808734
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 8376/618, 8807/6163?
Answer: GCF of Numerators as per given numbers 8376/618, 8807/6163 is
GCF of Numerators i.e. for 8376,8807 is 1
LCM of denominators i.e. for 618,6163 is 3808734.
Thus, GCF of Fractions is 1/3808734.Finally, GCF of Fractions for 8376/618, 8807/6163 is 1/3808734.