Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7818/412,5311/5521
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 7818,5311
Greatest Common Factor of Numerators i.e. GCF of 7818,5311 is 1 .
LCM of Denominators means LCM of 412,5521 as per the given fractions.
LCM of 412,5521 is 2274652 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7818,5311
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7818
List of positive integer factors of 7818 that divides 7818 without a remainder.
1,2,3,6,1303,2606,3909,7818
Factors of 5311
List of positive integer factors of 5311 that divides 5311 without a remainder.
1,47,113,5311
Greatest Common Factor
We found the factors 7818,5311 . The biggest common factor number is the GCF number.
So the greatest common factor 7818,5311 is 1.
Lets's calculate LCM of 412,5521
Given numbers has no common factors except 1. So, there LCM is their product i.e 2274652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2274652
Therefore, the GCF of Fractions 7818/412,5311/5521 is 1/2274652
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 412,5521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,5521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(412,5521) x common factors =1 x 1 = 1
LCM(412,5521) = ( 412 × 5521 ) / 1
LCM(412,5521) = 2274652 / 1
LCM(412,5521) = 2274652
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 7818/412, 5311/5521?
Answer: GCF of Numerators as per given numbers 7818/412, 5311/5521 is
GCF of Numerators i.e. for 7818,5311 is 1
LCM of denominators i.e. for 412,5521 is 2274652.
Thus, GCF of Fractions is 1/2274652.Finally, GCF of Fractions for 7818/412, 5311/5521 is 1/2274652.