Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8275/541,9126/117
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 8275,9126
Greatest Common Factor of Numerators i.e. GCF of 8275,9126 is 1 .
LCM of Denominators means LCM of 541,117 as per the given fractions.
LCM of 541,117 is 63297 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8275,9126
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8275
List of positive integer factors of 8275 that divides 8275 without a remainder.
1,5,25,331,1655,8275
Factors of 9126
List of positive integer factors of 9126 that divides 9126 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,169,234,338,351,507,702,1014,1521,3042,4563,9126
Greatest Common Factor
We found the factors 8275,9126 . The biggest common factor number is the GCF number.
So the greatest common factor 8275,9126 is 1.
Lets's calculate LCM of 541,117
Given numbers has no common factors except 1. So, there LCM is their product i.e 63297
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63297
Therefore, the GCF of Fractions 8275/541,9126/117 is 1/63297
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 541,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,117) x common factors =1 x 1 = 1
LCM(541,117) = ( 541 × 117 ) / 1
LCM(541,117) = 63297 / 1
LCM(541,117) = 63297
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 8275/541, 9126/117?
Answer: GCF of Numerators as per given numbers 8275/541, 9126/117 is
GCF of Numerators i.e. for 8275,9126 is 1
LCM of denominators i.e. for 541,117 is 63297.
Thus, GCF of Fractions is 1/63297.Finally, GCF of Fractions for 8275/541, 9126/117 is 1/63297.