Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6770/775,8299/4484
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 6770,8299
Greatest Common Factor of Numerators i.e. GCF of 6770,8299 is 1 .
LCM of Denominators means LCM of 775,4484 as per the given fractions.
LCM of 775,4484 is 3475100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6770,8299
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6770
List of positive integer factors of 6770 that divides 6770 without a remainder.
1,2,5,10,677,1354,3385,6770
Factors of 8299
List of positive integer factors of 8299 that divides 8299 without a remainder.
1,43,193,8299
Greatest Common Factor
We found the factors 6770,8299 . The biggest common factor number is the GCF number.
So the greatest common factor 6770,8299 is 1.
Lets's calculate LCM of 775,4484
Given numbers has no common factors except 1. So, there LCM is their product i.e 3475100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3475100
Therefore, the GCF of Fractions 6770/775,8299/4484 is 1/3475100
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 775,4484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,4484) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(775,4484) x common factors =1 x 1 = 1
LCM(775,4484) = ( 775 × 4484 ) / 1
LCM(775,4484) = 3475100 / 1
LCM(775,4484) = 3475100
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 6770/775, 8299/4484?
Answer: GCF of Numerators as per given numbers 6770/775, 8299/4484 is
GCF of Numerators i.e. for 6770,8299 is 1
LCM of denominators i.e. for 775,4484 is 3475100.
Thus, GCF of Fractions is 1/3475100.Finally, GCF of Fractions for 6770/775, 8299/4484 is 1/3475100.