Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8443/95,9054/182
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 8443,9054
Greatest Common Factor of Numerators i.e. GCF of 8443,9054 is 1 .
LCM of Denominators means LCM of 95,182 as per the given fractions.
LCM of 95,182 is 17290 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8443,9054
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8443
List of positive integer factors of 8443 that divides 8443 without a remainder.
1,8443
Factors of 9054
List of positive integer factors of 9054 that divides 9054 without a remainder.
1,2,3,6,9,18,503,1006,1509,3018,4527,9054
Greatest Common Factor
We found the factors 8443,9054 . The biggest common factor number is the GCF number.
So the greatest common factor 8443,9054 is 1.
Lets's calculate LCM of 95,182
Given numbers has no common factors except 1. So, there LCM is their product i.e 17290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17290
Therefore, the GCF of Fractions 8443/95,9054/182 is 1/17290
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 95,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,182) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,182) x common factors =1 x 1 = 1
LCM(95,182) = ( 95 × 182 ) / 1
LCM(95,182) = 17290 / 1
LCM(95,182) = 17290
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 8443/95, 9054/182?
Answer: GCF of Numerators as per given numbers 8443/95, 9054/182 is
GCF of Numerators i.e. for 8443,9054 is 1
LCM of denominators i.e. for 95,182 is 17290.
Thus, GCF of Fractions is 1/17290.Finally, GCF of Fractions for 8443/95, 9054/182 is 1/17290.