Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9577/699,6230/455
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 9577,6230
Greatest Common Factor of Numerators i.e. GCF of 9577,6230 is 1 .
LCM of Denominators means LCM of 699,455 as per the given fractions.
LCM of 699,455 is 318045 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9577,6230
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9577
List of positive integer factors of 9577 that divides 9577 without a remainder.
1,61,157,9577
Factors of 6230
List of positive integer factors of 6230 that divides 6230 without a remainder.
1,2,5,7,10,14,35,70,89,178,445,623,890,1246,3115,6230
Greatest Common Factor
We found the factors 9577,6230 . The biggest common factor number is the GCF number.
So the greatest common factor 9577,6230 is 1.
Lets's calculate LCM of 699,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 318045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318045
Therefore, the GCF of Fractions 9577/699,6230/455 is 1/318045
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 699,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(699,455) x common factors =1 x 1 = 1
LCM(699,455) = ( 699 × 455 ) / 1
LCM(699,455) = 318045 / 1
LCM(699,455) = 318045
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 9577/699, 6230/455?
Answer: GCF of Numerators as per given numbers 9577/699, 6230/455 is
GCF of Numerators i.e. for 9577,6230 is 1
LCM of denominators i.e. for 699,455 is 318045.
Thus, GCF of Fractions is 1/318045.Finally, GCF of Fractions for 9577/699, 6230/455 is 1/318045.