Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6886/421,1535/7496
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 6886,1535
Greatest Common Factor of Numerators i.e. GCF of 6886,1535 is 1 .
LCM of Denominators means LCM of 421,7496 as per the given fractions.
LCM of 421,7496 is 3155816 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6886,1535
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6886
List of positive integer factors of 6886 that divides 6886 without a remainder.
1,2,11,22,313,626,3443,6886
Factors of 1535
List of positive integer factors of 1535 that divides 1535 without a remainder.
1,5,307,1535
Greatest Common Factor
We found the factors 6886,1535 . The biggest common factor number is the GCF number.
So the greatest common factor 6886,1535 is 1.
Lets's calculate LCM of 421,7496
Given numbers has no common factors except 1. So, there LCM is their product i.e 3155816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3155816
Therefore, the GCF of Fractions 6886/421,1535/7496 is 1/3155816
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 421,7496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,7496) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,7496) x common factors =1 x 1 = 1
LCM(421,7496) = ( 421 × 7496 ) / 1
LCM(421,7496) = 3155816 / 1
LCM(421,7496) = 3155816
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 6886/421, 1535/7496?
Answer: GCF of Numerators as per given numbers 6886/421, 1535/7496 is
GCF of Numerators i.e. for 6886,1535 is 1
LCM of denominators i.e. for 421,7496 is 3155816.
Thus, GCF of Fractions is 1/3155816.Finally, GCF of Fractions for 6886/421, 1535/7496 is 1/3155816.