Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1649/65,2384/878
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 1649,2384
Greatest Common Factor of Numerators i.e. GCF of 1649,2384 is 1 .
LCM of Denominators means LCM of 65,878 as per the given fractions.
LCM of 65,878 is 57070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1649,2384
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1649
List of positive integer factors of 1649 that divides 1649 without a remainder.
1,17,97,1649
Factors of 2384
List of positive integer factors of 2384 that divides 2384 without a remainder.
1,2,4,8,16,149,298,596,1192,2384
Greatest Common Factor
We found the factors 1649,2384 . The biggest common factor number is the GCF number.
So the greatest common factor 1649,2384 is 1.
Lets's calculate LCM of 65,878
Given numbers has no common factors except 1. So, there LCM is their product i.e 57070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57070
Therefore, the GCF of Fractions 1649/65,2384/878 is 1/57070
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 65,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,878) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,878) x common factors =1 x 1 = 1
LCM(65,878) = ( 65 × 878 ) / 1
LCM(65,878) = 57070 / 1
LCM(65,878) = 57070
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 1649/65, 2384/878?
Answer: GCF of Numerators as per given numbers 1649/65, 2384/878 is
GCF of Numerators i.e. for 1649,2384 is 1
LCM of denominators i.e. for 65,878 is 57070.
Thus, GCF of Fractions is 1/57070.Finally, GCF of Fractions for 1649/65, 2384/878 is 1/57070.