Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8375/638,8002/615
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 8375,8002
Greatest Common Factor of Numerators i.e. GCF of 8375,8002 is 1 .
LCM of Denominators means LCM of 638,615 as per the given fractions.
LCM of 638,615 is 392370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8375,8002
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8375
List of positive integer factors of 8375 that divides 8375 without a remainder.
1,5,25,67,125,335,1675,8375
Factors of 8002
List of positive integer factors of 8002 that divides 8002 without a remainder.
1,2,4001,8002
Greatest Common Factor
We found the factors 8375,8002 . The biggest common factor number is the GCF number.
So the greatest common factor 8375,8002 is 1.
Lets's calculate LCM of 638,615
Given numbers has no common factors except 1. So, there LCM is their product i.e 392370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392370
Therefore, the GCF of Fractions 8375/638,8002/615 is 1/392370
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 638,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,615) x common factors =1 x 1 = 1
LCM(638,615) = ( 638 × 615 ) / 1
LCM(638,615) = 392370 / 1
LCM(638,615) = 392370
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 8375/638, 8002/615?
Answer: GCF of Numerators as per given numbers 8375/638, 8002/615 is
GCF of Numerators i.e. for 8375,8002 is 1
LCM of denominators i.e. for 638,615 is 392370.
Thus, GCF of Fractions is 1/392370.Finally, GCF of Fractions for 8375/638, 8002/615 is 1/392370.