Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5853/88,4816/521
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 5853,4816
Greatest Common Factor of Numerators i.e. GCF of 5853,4816 is 1 .
LCM of Denominators means LCM of 88,521 as per the given fractions.
LCM of 88,521 is 45848 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5853,4816
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5853
List of positive integer factors of 5853 that divides 5853 without a remainder.
1,3,1951,5853
Factors of 4816
List of positive integer factors of 4816 that divides 4816 without a remainder.
1,2,4,7,8,14,16,28,43,56,86,112,172,301,344,602,688,1204,2408,4816
Greatest Common Factor
We found the factors 5853,4816 . The biggest common factor number is the GCF number.
So the greatest common factor 5853,4816 is 1.
Lets's calculate LCM of 88,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 45848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45848
Therefore, the GCF of Fractions 5853/88,4816/521 is 1/45848
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 88,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,521) x common factors =1 x 1 = 1
LCM(88,521) = ( 88 × 521 ) / 1
LCM(88,521) = 45848 / 1
LCM(88,521) = 45848
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 5853/88, 4816/521?
Answer: GCF of Numerators as per given numbers 5853/88, 4816/521 is
GCF of Numerators i.e. for 5853,4816 is 1
LCM of denominators i.e. for 88,521 is 45848.
Thus, GCF of Fractions is 1/45848.Finally, GCF of Fractions for 5853/88, 4816/521 is 1/45848.