Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5618/23,8870/478
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 5618,8870
Greatest Common Factor of Numerators i.e. GCF of 5618,8870 is 2 .
LCM of Denominators means LCM of 23,478 as per the given fractions.
LCM of 23,478 is 10994 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5618,8870
2 | 5618, 8870 |
2809, 4435 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5618
List of positive integer factors of 5618 that divides 5618 without a remainder.
1,2,53,106,2809,5618
Factors of 8870
List of positive integer factors of 8870 that divides 8870 without a remainder.
1,2,5,10,887,1774,4435,8870
Greatest Common Factor
We found the factors 5618,8870 . The biggest common factor number is the GCF number.
So the greatest common factor 5618,8870 is 2.
Lets's calculate LCM of 23,478
Given numbers has no common factors except 1. So, there LCM is their product i.e 10994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10994
Therefore, the GCF of Fractions 5618/23,8870/478 is 2/10994
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 23,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,478) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,478) x common factors =1 x 1 = 1
LCM(23,478) = ( 23 × 478 ) / 1
LCM(23,478) = 10994 / 1
LCM(23,478) = 10994
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 5618/23, 8870/478?
Answer: GCF of Numerators as per given numbers 5618/23, 8870/478 is
GCF of Numerators i.e. for 5618,8870 is 2
LCM of denominators i.e. for 23,478 is 10994.
Thus, GCF of Fractions is 2/10994.Finally, GCF of Fractions for 5618/23, 8870/478 is 2/10994.