Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6937/13,9547/461
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 6937,9547
Greatest Common Factor of Numerators i.e. GCF of 6937,9547 is 1 .
LCM of Denominators means LCM of 13,461 as per the given fractions.
LCM of 13,461 is 5993 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6937,9547
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6937
List of positive integer factors of 6937 that divides 6937 without a remainder.
1,7,991,6937
Factors of 9547
List of positive integer factors of 9547 that divides 9547 without a remainder.
1,9547
Greatest Common Factor
We found the factors 6937,9547 . The biggest common factor number is the GCF number.
So the greatest common factor 6937,9547 is 1.
Lets's calculate LCM of 13,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 5993
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5993
Therefore, the GCF of Fractions 6937/13,9547/461 is 1/5993
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 13,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,461) x common factors =1 x 1 = 1
LCM(13,461) = ( 13 × 461 ) / 1
LCM(13,461) = 5993 / 1
LCM(13,461) = 5993
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 6937/13, 9547/461?
Answer: GCF of Numerators as per given numbers 6937/13, 9547/461 is
GCF of Numerators i.e. for 6937,9547 is 1
LCM of denominators i.e. for 13,461 is 5993.
Thus, GCF of Fractions is 1/5993.Finally, GCF of Fractions for 6937/13, 9547/461 is 1/5993.