Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6645/302,5324/4649
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 6645,5324
Greatest Common Factor of Numerators i.e. GCF of 6645,5324 is 1 .
LCM of Denominators means LCM of 302,4649 as per the given fractions.
LCM of 302,4649 is 1403998 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6645,5324
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6645
List of positive integer factors of 6645 that divides 6645 without a remainder.
1,3,5,15,443,1329,2215,6645
Factors of 5324
List of positive integer factors of 5324 that divides 5324 without a remainder.
1,2,4,11,22,44,121,242,484,1331,2662,5324
Greatest Common Factor
We found the factors 6645,5324 . The biggest common factor number is the GCF number.
So the greatest common factor 6645,5324 is 1.
Lets's calculate LCM of 302,4649
Given numbers has no common factors except 1. So, there LCM is their product i.e 1403998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1403998
Therefore, the GCF of Fractions 6645/302,5324/4649 is 1/1403998
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 302,4649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,4649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,4649) x common factors =1 x 1 = 1
LCM(302,4649) = ( 302 × 4649 ) / 1
LCM(302,4649) = 1403998 / 1
LCM(302,4649) = 1403998
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 6645/302, 5324/4649?
Answer: GCF of Numerators as per given numbers 6645/302, 5324/4649 is
GCF of Numerators i.e. for 6645,5324 is 1
LCM of denominators i.e. for 302,4649 is 1403998.
Thus, GCF of Fractions is 1/1403998.Finally, GCF of Fractions for 6645/302, 5324/4649 is 1/1403998.