Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 993/647,928/512
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 993,928
Greatest Common Factor of Numerators i.e. GCF of 993,928 is 1 .
LCM of Denominators means LCM of 647,512 as per the given fractions.
LCM of 647,512 is 331264 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 993,928
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Greatest Common Factor
We found the factors 993,928 . The biggest common factor number is the GCF number.
So the greatest common factor 993,928 is 1.
Lets's calculate LCM of 647,512
Given numbers has no common factors except 1. So, there LCM is their product i.e 331264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/331264
Therefore, the GCF of Fractions 993/647,928/512 is 1/331264
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 647,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,512) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,512) x common factors =1 x 1 = 1
LCM(647,512) = ( 647 × 512 ) / 1
LCM(647,512) = 331264 / 1
LCM(647,512) = 331264
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 993/647, 928/512?
Answer: GCF of Numerators as per given numbers 993/647, 928/512 is
GCF of Numerators i.e. for 993,928 is 1
LCM of denominators i.e. for 647,512 is 331264.
Thus, GCF of Fractions is 1/331264.Finally, GCF of Fractions for 993/647, 928/512 is 1/331264.