Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7559/17,6944/307
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 7559,6944
Greatest Common Factor of Numerators i.e. GCF of 7559,6944 is 1 .
LCM of Denominators means LCM of 17,307 as per the given fractions.
LCM of 17,307 is 5219 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7559,6944
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7559
List of positive integer factors of 7559 that divides 7559 without a remainder.
1,7559
Factors of 6944
List of positive integer factors of 6944 that divides 6944 without a remainder.
1,2,4,7,8,14,16,28,31,32,56,62,112,124,217,224,248,434,496,868,992,1736,3472,6944
Greatest Common Factor
We found the factors 7559,6944 . The biggest common factor number is the GCF number.
So the greatest common factor 7559,6944 is 1.
Lets's calculate LCM of 17,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 5219
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5219
Therefore, the GCF of Fractions 7559/17,6944/307 is 1/5219
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 17,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,307) x common factors =1 x 1 = 1
LCM(17,307) = ( 17 × 307 ) / 1
LCM(17,307) = 5219 / 1
LCM(17,307) = 5219
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 7559/17, 6944/307?
Answer: GCF of Numerators as per given numbers 7559/17, 6944/307 is
GCF of Numerators i.e. for 7559,6944 is 1
LCM of denominators i.e. for 17,307 is 5219.
Thus, GCF of Fractions is 1/5219.Finally, GCF of Fractions for 7559/17, 6944/307 is 1/5219.