Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6777/677,8420/7166
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 6777,8420
Greatest Common Factor of Numerators i.e. GCF of 6777,8420 is 1 .
LCM of Denominators means LCM of 677,7166 as per the given fractions.
LCM of 677,7166 is 4851382 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6777,8420
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6777
List of positive integer factors of 6777 that divides 6777 without a remainder.
1,3,9,27,251,753,2259,6777
Factors of 8420
List of positive integer factors of 8420 that divides 8420 without a remainder.
1,2,4,5,10,20,421,842,1684,2105,4210,8420
Greatest Common Factor
We found the factors 6777,8420 . The biggest common factor number is the GCF number.
So the greatest common factor 6777,8420 is 1.
Lets's calculate LCM of 677,7166
Given numbers has no common factors except 1. So, there LCM is their product i.e 4851382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4851382
Therefore, the GCF of Fractions 6777/677,8420/7166 is 1/4851382
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 677,7166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,7166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,7166) x common factors =1 x 1 = 1
LCM(677,7166) = ( 677 × 7166 ) / 1
LCM(677,7166) = 4851382 / 1
LCM(677,7166) = 4851382
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 6777/677, 8420/7166?
Answer: GCF of Numerators as per given numbers 6777/677, 8420/7166 is
GCF of Numerators i.e. for 6777,8420 is 1
LCM of denominators i.e. for 677,7166 is 4851382.
Thus, GCF of Fractions is 1/4851382.Finally, GCF of Fractions for 6777/677, 8420/7166 is 1/4851382.