Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9945/231,1024/9043
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 9945,1024
Greatest Common Factor of Numerators i.e. GCF of 9945,1024 is 1 .
LCM of Denominators means LCM of 231,9043 as per the given fractions.
LCM of 231,9043 is 2088933 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9945,1024
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9945
List of positive integer factors of 9945 that divides 9945 without a remainder.
1,3,5,9,13,15,17,39,45,51,65,85,117,153,195,221,255,585,663,765,1105,1989,3315,9945
Factors of 1024
List of positive integer factors of 1024 that divides 1024 without a remainder.
1,2,4,8,16,32,64,128,256,512,1024
Greatest Common Factor
We found the factors 9945,1024 . The biggest common factor number is the GCF number.
So the greatest common factor 9945,1024 is 1.
Lets's calculate LCM of 231,9043
Given numbers has no common factors except 1. So, there LCM is their product i.e 2088933
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2088933
Therefore, the GCF of Fractions 9945/231,1024/9043 is 1/2088933
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 231,9043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,9043) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(231,9043) x common factors =1 x 1 = 1
LCM(231,9043) = ( 231 × 9043 ) / 1
LCM(231,9043) = 2088933 / 1
LCM(231,9043) = 2088933
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 9945/231, 1024/9043?
Answer: GCF of Numerators as per given numbers 9945/231, 1024/9043 is
GCF of Numerators i.e. for 9945,1024 is 1
LCM of denominators i.e. for 231,9043 is 2088933.
Thus, GCF of Fractions is 1/2088933.Finally, GCF of Fractions for 9945/231, 1024/9043 is 1/2088933.