Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3109/701,2529/2619
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 3109,2529
Greatest Common Factor of Numerators i.e. GCF of 3109,2529 is 1 .
LCM of Denominators means LCM of 701,2619 as per the given fractions.
LCM of 701,2619 is 1835919 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3109,2529
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3109
List of positive integer factors of 3109 that divides 3109 without a remainder.
1,3109
Factors of 2529
List of positive integer factors of 2529 that divides 2529 without a remainder.
1,3,9,281,843,2529
Greatest Common Factor
We found the factors 3109,2529 . The biggest common factor number is the GCF number.
So the greatest common factor 3109,2529 is 1.
Lets's calculate LCM of 701,2619
Given numbers has no common factors except 1. So, there LCM is their product i.e 1835919
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1835919
Therefore, the GCF of Fractions 3109/701,2529/2619 is 1/1835919
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 701,2619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,2619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,2619) x common factors =1 x 1 = 1
LCM(701,2619) = ( 701 × 2619 ) / 1
LCM(701,2619) = 1835919 / 1
LCM(701,2619) = 1835919
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 3109/701, 2529/2619?
Answer: GCF of Numerators as per given numbers 3109/701, 2529/2619 is
GCF of Numerators i.e. for 3109,2529 is 1
LCM of denominators i.e. for 701,2619 is 1835919.
Thus, GCF of Fractions is 1/1835919.Finally, GCF of Fractions for 3109/701, 2529/2619 is 1/1835919.