Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1853/128,5887/2457
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 1853,5887
Greatest Common Factor of Numerators i.e. GCF of 1853,5887 is 1 .
LCM of Denominators means LCM of 128,2457 as per the given fractions.
LCM of 128,2457 is 314496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1853,5887
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1853
List of positive integer factors of 1853 that divides 1853 without a remainder.
1,17,109,1853
Factors of 5887
List of positive integer factors of 5887 that divides 5887 without a remainder.
1,7,29,203,841,5887
Greatest Common Factor
We found the factors 1853,5887 . The biggest common factor number is the GCF number.
So the greatest common factor 1853,5887 is 1.
Lets's calculate LCM of 128,2457
Given numbers has no common factors except 1. So, there LCM is their product i.e 314496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/314496
Therefore, the GCF of Fractions 1853/128,5887/2457 is 1/314496
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 128,2457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,2457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(128,2457) x common factors =1 x 1 = 1
LCM(128,2457) = ( 128 × 2457 ) / 1
LCM(128,2457) = 314496 / 1
LCM(128,2457) = 314496
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 1853/128, 5887/2457?
Answer: GCF of Numerators as per given numbers 1853/128, 5887/2457 is
GCF of Numerators i.e. for 1853,5887 is 1
LCM of denominators i.e. for 128,2457 is 314496.
Thus, GCF of Fractions is 1/314496.Finally, GCF of Fractions for 1853/128, 5887/2457 is 1/314496.