Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4097/329,3250/251
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 4097,3250
Greatest Common Factor of Numerators i.e. GCF of 4097,3250 is 1 .
LCM of Denominators means LCM of 329,251 as per the given fractions.
LCM of 329,251 is 82579 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4097,3250
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4097
List of positive integer factors of 4097 that divides 4097 without a remainder.
1,17,241,4097
Factors of 3250
List of positive integer factors of 3250 that divides 3250 without a remainder.
1,2,5,10,13,25,26,50,65,125,130,250,325,650,1625,3250
Greatest Common Factor
We found the factors 4097,3250 . The biggest common factor number is the GCF number.
So the greatest common factor 4097,3250 is 1.
Lets's calculate LCM of 329,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 82579
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82579
Therefore, the GCF of Fractions 4097/329,3250/251 is 1/82579
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 329,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,251) x common factors =1 x 1 = 1
LCM(329,251) = ( 329 × 251 ) / 1
LCM(329,251) = 82579 / 1
LCM(329,251) = 82579
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 4097/329, 3250/251?
Answer: GCF of Numerators as per given numbers 4097/329, 3250/251 is
GCF of Numerators i.e. for 4097,3250 is 1
LCM of denominators i.e. for 329,251 is 82579.
Thus, GCF of Fractions is 1/82579.Finally, GCF of Fractions for 4097/329, 3250/251 is 1/82579.