Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8239/669,3975/392
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 8239,3975
Greatest Common Factor of Numerators i.e. GCF of 8239,3975 is 1 .
LCM of Denominators means LCM of 669,392 as per the given fractions.
LCM of 669,392 is 262248 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8239,3975
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8239
List of positive integer factors of 8239 that divides 8239 without a remainder.
1,7,11,77,107,749,1177,8239
Factors of 3975
List of positive integer factors of 3975 that divides 3975 without a remainder.
1,3,5,15,25,53,75,159,265,795,1325,3975
Greatest Common Factor
We found the factors 8239,3975 . The biggest common factor number is the GCF number.
So the greatest common factor 8239,3975 is 1.
Lets's calculate LCM of 669,392
Given numbers has no common factors except 1. So, there LCM is their product i.e 262248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262248
Therefore, the GCF of Fractions 8239/669,3975/392 is 1/262248
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 669,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,392) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,392) x common factors =1 x 1 = 1
LCM(669,392) = ( 669 × 392 ) / 1
LCM(669,392) = 262248 / 1
LCM(669,392) = 262248
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 8239/669, 3975/392?
Answer: GCF of Numerators as per given numbers 8239/669, 3975/392 is
GCF of Numerators i.e. for 8239,3975 is 1
LCM of denominators i.e. for 669,392 is 262248.
Thus, GCF of Fractions is 1/262248.Finally, GCF of Fractions for 8239/669, 3975/392 is 1/262248.