Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2467/136,2095/919
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 2467,2095
Greatest Common Factor of Numerators i.e. GCF of 2467,2095 is 1 .
LCM of Denominators means LCM of 136,919 as per the given fractions.
LCM of 136,919 is 124984 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2467,2095
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2467
List of positive integer factors of 2467 that divides 2467 without a remainder.
1,2467
Factors of 2095
List of positive integer factors of 2095 that divides 2095 without a remainder.
1,5,419,2095
Greatest Common Factor
We found the factors 2467,2095 . The biggest common factor number is the GCF number.
So the greatest common factor 2467,2095 is 1.
Lets's calculate LCM of 136,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 124984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124984
Therefore, the GCF of Fractions 2467/136,2095/919 is 1/124984
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 136,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(136,919) x common factors =1 x 1 = 1
LCM(136,919) = ( 136 × 919 ) / 1
LCM(136,919) = 124984 / 1
LCM(136,919) = 124984
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 2467/136, 2095/919?
Answer: GCF of Numerators as per given numbers 2467/136, 2095/919 is
GCF of Numerators i.e. for 2467,2095 is 1
LCM of denominators i.e. for 136,919 is 124984.
Thus, GCF of Fractions is 1/124984.Finally, GCF of Fractions for 2467/136, 2095/919 is 1/124984.