Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9443/952,7716/2917
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 9443,7716
Greatest Common Factor of Numerators i.e. GCF of 9443,7716 is 1 .
LCM of Denominators means LCM of 952,2917 as per the given fractions.
LCM of 952,2917 is 2776984 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9443,7716
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9443
List of positive integer factors of 9443 that divides 9443 without a remainder.
1,7,19,71,133,497,1349,9443
Factors of 7716
List of positive integer factors of 7716 that divides 7716 without a remainder.
1,2,3,4,6,12,643,1286,1929,2572,3858,7716
Greatest Common Factor
We found the factors 9443,7716 . The biggest common factor number is the GCF number.
So the greatest common factor 9443,7716 is 1.
Lets's calculate LCM of 952,2917
Given numbers has no common factors except 1. So, there LCM is their product i.e 2776984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2776984
Therefore, the GCF of Fractions 9443/952,7716/2917 is 1/2776984
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 952,2917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,2917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(952,2917) x common factors =1 x 1 = 1
LCM(952,2917) = ( 952 × 2917 ) / 1
LCM(952,2917) = 2776984 / 1
LCM(952,2917) = 2776984
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 9443/952, 7716/2917?
Answer: GCF of Numerators as per given numbers 9443/952, 7716/2917 is
GCF of Numerators i.e. for 9443,7716 is 1
LCM of denominators i.e. for 952,2917 is 2776984.
Thus, GCF of Fractions is 1/2776984.Finally, GCF of Fractions for 9443/952, 7716/2917 is 1/2776984.