Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 502/403,7967/9007
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 502,7967
Greatest Common Factor of Numerators i.e. GCF of 502,7967 is 1 .
LCM of Denominators means LCM of 403,9007 as per the given fractions.
LCM of 403,9007 is 3629821 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 502,7967
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 7967
List of positive integer factors of 7967 that divides 7967 without a remainder.
1,31,257,7967
Greatest Common Factor
We found the factors 502,7967 . The biggest common factor number is the GCF number.
So the greatest common factor 502,7967 is 1.
Lets's calculate LCM of 403,9007
Given numbers has no common factors except 1. So, there LCM is their product i.e 3629821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3629821
Therefore, the GCF of Fractions 502/403,7967/9007 is 1/3629821
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 403,9007 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,9007) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,9007) x common factors =1 x 1 = 1
LCM(403,9007) = ( 403 × 9007 ) / 1
LCM(403,9007) = 3629821 / 1
LCM(403,9007) = 3629821
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 502/403, 7967/9007?
Answer: GCF of Numerators as per given numbers 502/403, 7967/9007 is
GCF of Numerators i.e. for 502,7967 is 1
LCM of denominators i.e. for 403,9007 is 3629821.
Thus, GCF of Fractions is 1/3629821.Finally, GCF of Fractions for 502/403, 7967/9007 is 1/3629821.