Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7305/17,5353/656
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 7305,5353
Greatest Common Factor of Numerators i.e. GCF of 7305,5353 is 1 .
LCM of Denominators means LCM of 17,656 as per the given fractions.
LCM of 17,656 is 11152 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7305,5353
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7305
List of positive integer factors of 7305 that divides 7305 without a remainder.
1,3,5,15,487,1461,2435,7305
Factors of 5353
List of positive integer factors of 5353 that divides 5353 without a remainder.
1,53,101,5353
Greatest Common Factor
We found the factors 7305,5353 . The biggest common factor number is the GCF number.
So the greatest common factor 7305,5353 is 1.
Lets's calculate LCM of 17,656
Given numbers has no common factors except 1. So, there LCM is their product i.e 11152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11152
Therefore, the GCF of Fractions 7305/17,5353/656 is 1/11152
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 17,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,656) x common factors =1 x 1 = 1
LCM(17,656) = ( 17 × 656 ) / 1
LCM(17,656) = 11152 / 1
LCM(17,656) = 11152
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 7305/17, 5353/656?
Answer: GCF of Numerators as per given numbers 7305/17, 5353/656 is
GCF of Numerators i.e. for 7305,5353 is 1
LCM of denominators i.e. for 17,656 is 11152.
Thus, GCF of Fractions is 1/11152.Finally, GCF of Fractions for 7305/17, 5353/656 is 1/11152.