Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 747/46,500/9703
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 747,500
Greatest Common Factor of Numerators i.e. GCF of 747,500 is 1 .
LCM of Denominators means LCM of 46,9703 as per the given fractions.
LCM of 46,9703 is 446338 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 747,500
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 747,500 . The biggest common factor number is the GCF number.
So the greatest common factor 747,500 is 1.
Lets's calculate LCM of 46,9703
Given numbers has no common factors except 1. So, there LCM is their product i.e 446338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/446338
Therefore, the GCF of Fractions 747/46,500/9703 is 1/446338
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 46,9703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,9703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,9703) x common factors =1 x 1 = 1
LCM(46,9703) = ( 46 × 9703 ) / 1
LCM(46,9703) = 446338 / 1
LCM(46,9703) = 446338
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 747/46, 500/9703?
Answer: GCF of Numerators as per given numbers 747/46, 500/9703 is
GCF of Numerators i.e. for 747,500 is 1
LCM of denominators i.e. for 46,9703 is 446338.
Thus, GCF of Fractions is 1/446338.Finally, GCF of Fractions for 747/46, 500/9703 is 1/446338.