Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9547/637,9900/9309
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 9547,9900
Greatest Common Factor of Numerators i.e. GCF of 9547,9900 is 1 .
LCM of Denominators means LCM of 637,9309 as per the given fractions.
LCM of 637,9309 is 5929833 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9547,9900
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9547
List of positive integer factors of 9547 that divides 9547 without a remainder.
1,9547
Factors of 9900
List of positive integer factors of 9900 that divides 9900 without a remainder.
1,2,3,4,5,6,9,10,11,12,15,18,20,22,25,30,33,36,44,45,50,55,60,66,75,90,99,100,110,132,150,165,180,198,220,225,275,300,330,396,450,495,550,660,825,900,990,1100,1650,1980,2475,3300,4950,9900
Greatest Common Factor
We found the factors 9547,9900 . The biggest common factor number is the GCF number.
So the greatest common factor 9547,9900 is 1.
Lets's calculate LCM of 637,9309
Given numbers has no common factors except 1. So, there LCM is their product i.e 5929833
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5929833
Therefore, the GCF of Fractions 9547/637,9900/9309 is 1/5929833
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 637,9309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,9309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,9309) x common factors =1 x 1 = 1
LCM(637,9309) = ( 637 × 9309 ) / 1
LCM(637,9309) = 5929833 / 1
LCM(637,9309) = 5929833
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 9547/637, 9900/9309?
Answer: GCF of Numerators as per given numbers 9547/637, 9900/9309 is
GCF of Numerators i.e. for 9547,9900 is 1
LCM of denominators i.e. for 637,9309 is 5929833.
Thus, GCF of Fractions is 1/5929833.Finally, GCF of Fractions for 9547/637, 9900/9309 is 1/5929833.