Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 299/3040,734/7707
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 299,734
Greatest Common Factor of Numerators i.e. GCF of 299,734 is 1 .
LCM of Denominators means LCM of 3040,7707 as per the given fractions.
LCM of 3040,7707 is 23429280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 299,734
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Greatest Common Factor
We found the factors 299,734 . The biggest common factor number is the GCF number.
So the greatest common factor 299,734 is 1.
Lets's calculate LCM of 3040,7707
Given numbers has no common factors except 1. So, there LCM is their product i.e 23429280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23429280
Therefore, the GCF of Fractions 299/3040,734/7707 is 1/23429280
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 3040,7707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3040,7707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3040,7707) x common factors =1 x 1 = 1
LCM(3040,7707) = ( 3040 × 7707 ) / 1
LCM(3040,7707) = 23429280 / 1
LCM(3040,7707) = 23429280
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 299/3040, 734/7707?
Answer: GCF of Numerators as per given numbers 299/3040, 734/7707 is
GCF of Numerators i.e. for 299,734 is 1
LCM of denominators i.e. for 3040,7707 is 23429280.
Thus, GCF of Fractions is 1/23429280.Finally, GCF of Fractions for 299/3040, 734/7707 is 1/23429280.