Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9108/235,7175/267
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 9108,7175
Greatest Common Factor of Numerators i.e. GCF of 9108,7175 is 1 .
LCM of Denominators means LCM of 235,267 as per the given fractions.
LCM of 235,267 is 62745 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9108,7175
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9108
List of positive integer factors of 9108 that divides 9108 without a remainder.
1,2,3,4,6,9,11,12,18,22,23,33,36,44,46,66,69,92,99,132,138,198,207,253,276,396,414,506,759,828,1012,1518,2277,3036,4554,9108
Factors of 7175
List of positive integer factors of 7175 that divides 7175 without a remainder.
1,5,7,25,35,41,175,205,287,1025,1435,7175
Greatest Common Factor
We found the factors 9108,7175 . The biggest common factor number is the GCF number.
So the greatest common factor 9108,7175 is 1.
Lets's calculate LCM of 235,267
Given numbers has no common factors except 1. So, there LCM is their product i.e 62745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62745
Therefore, the GCF of Fractions 9108/235,7175/267 is 1/62745
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 235,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,267) x common factors =1 x 1 = 1
LCM(235,267) = ( 235 × 267 ) / 1
LCM(235,267) = 62745 / 1
LCM(235,267) = 62745
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 9108/235, 7175/267?
Answer: GCF of Numerators as per given numbers 9108/235, 7175/267 is
GCF of Numerators i.e. for 9108,7175 is 1
LCM of denominators i.e. for 235,267 is 62745.
Thus, GCF of Fractions is 1/62745.Finally, GCF of Fractions for 9108/235, 7175/267 is 1/62745.