Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5045/750,4573/886
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 5045,4573
Greatest Common Factor of Numerators i.e. GCF of 5045,4573 is 1 .
LCM of Denominators means LCM of 750,886 as per the given fractions.
LCM of 750,886 is 332250 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5045,4573
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5045
List of positive integer factors of 5045 that divides 5045 without a remainder.
1,5,1009,5045
Factors of 4573
List of positive integer factors of 4573 that divides 4573 without a remainder.
1,17,269,4573
Greatest Common Factor
We found the factors 5045,4573 . The biggest common factor number is the GCF number.
So the greatest common factor 5045,4573 is 1.
Lets's calculate LCM of 750,886
2 | 750, 886 |
375, 443 |
∴ So the LCM of the given numbers is 2 x 375 x 443 = 332250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332250
Therefore, the GCF of Fractions 5045/750,4573/886 is 1/332250
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 750,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,886) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(750,886) x common factors =2 x 1 = 2
LCM(750,886) = ( 750 × 886 ) / 2
LCM(750,886) = 664500 / 2
LCM(750,886) = 332250
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 5045/750, 4573/886?
Answer: GCF of Numerators as per given numbers 5045/750, 4573/886 is
GCF of Numerators i.e. for 5045,4573 is 1
LCM of denominators i.e. for 750,886 is 332250.
Thus, GCF of Fractions is 1/332250.Finally, GCF of Fractions for 5045/750, 4573/886 is 1/332250.