Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6153/27,8947/197
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 6153,8947
Greatest Common Factor of Numerators i.e. GCF of 6153,8947 is 1 .
LCM of Denominators means LCM of 27,197 as per the given fractions.
LCM of 27,197 is 5319 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6153,8947
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6153
List of positive integer factors of 6153 that divides 6153 without a remainder.
1,3,7,21,293,879,2051,6153
Factors of 8947
List of positive integer factors of 8947 that divides 8947 without a remainder.
1,23,389,8947
Greatest Common Factor
We found the factors 6153,8947 . The biggest common factor number is the GCF number.
So the greatest common factor 6153,8947 is 1.
Lets's calculate LCM of 27,197
Given numbers has no common factors except 1. So, there LCM is their product i.e 5319
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5319
Therefore, the GCF of Fractions 6153/27,8947/197 is 1/5319
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 27,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,197) x common factors =1 x 1 = 1
LCM(27,197) = ( 27 × 197 ) / 1
LCM(27,197) = 5319 / 1
LCM(27,197) = 5319
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 6153/27, 8947/197?
Answer: GCF of Numerators as per given numbers 6153/27, 8947/197 is
GCF of Numerators i.e. for 6153,8947 is 1
LCM of denominators i.e. for 27,197 is 5319.
Thus, GCF of Fractions is 1/5319.Finally, GCF of Fractions for 6153/27, 8947/197 is 1/5319.