Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6537/169,4880/511
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 6537,4880
Greatest Common Factor of Numerators i.e. GCF of 6537,4880 is 1 .
LCM of Denominators means LCM of 169,511 as per the given fractions.
LCM of 169,511 is 86359 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6537,4880
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6537
List of positive integer factors of 6537 that divides 6537 without a remainder.
1,3,2179,6537
Factors of 4880
List of positive integer factors of 4880 that divides 4880 without a remainder.
1,2,4,5,8,10,16,20,40,61,80,122,244,305,488,610,976,1220,2440,4880
Greatest Common Factor
We found the factors 6537,4880 . The biggest common factor number is the GCF number.
So the greatest common factor 6537,4880 is 1.
Lets's calculate LCM of 169,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 86359
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86359
Therefore, the GCF of Fractions 6537/169,4880/511 is 1/86359
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 169,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,511) x common factors =1 x 1 = 1
LCM(169,511) = ( 169 × 511 ) / 1
LCM(169,511) = 86359 / 1
LCM(169,511) = 86359
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 6537/169, 4880/511?
Answer: GCF of Numerators as per given numbers 6537/169, 4880/511 is
GCF of Numerators i.e. for 6537,4880 is 1
LCM of denominators i.e. for 169,511 is 86359.
Thus, GCF of Fractions is 1/86359.Finally, GCF of Fractions for 6537/169, 4880/511 is 1/86359.