Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5547/76,3143/575
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 5547,3143
Greatest Common Factor of Numerators i.e. GCF of 5547,3143 is 1 .
LCM of Denominators means LCM of 76,575 as per the given fractions.
LCM of 76,575 is 43700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5547,3143
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5547
List of positive integer factors of 5547 that divides 5547 without a remainder.
1,3,43,129,1849,5547
Factors of 3143
List of positive integer factors of 3143 that divides 3143 without a remainder.
1,7,449,3143
Greatest Common Factor
We found the factors 5547,3143 . The biggest common factor number is the GCF number.
So the greatest common factor 5547,3143 is 1.
Lets's calculate LCM of 76,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 43700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43700
Therefore, the GCF of Fractions 5547/76,3143/575 is 1/43700
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 76,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,575) x common factors =1 x 1 = 1
LCM(76,575) = ( 76 × 575 ) / 1
LCM(76,575) = 43700 / 1
LCM(76,575) = 43700
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 5547/76, 3143/575?
Answer: GCF of Numerators as per given numbers 5547/76, 3143/575 is
GCF of Numerators i.e. for 5547,3143 is 1
LCM of denominators i.e. for 76,575 is 43700.
Thus, GCF of Fractions is 1/43700.Finally, GCF of Fractions for 5547/76, 3143/575 is 1/43700.