Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 470/588,6535/103
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 470,6535
Greatest Common Factor of Numerators i.e. GCF of 470,6535 is 5 .
LCM of Denominators means LCM of 588,103 as per the given fractions.
LCM of 588,103 is 60564 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 470,6535
5 | 470, 6535 |
94, 1307 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1,2,5,10,47,94,235,470
Factors of 6535
List of positive integer factors of 6535 that divides 6535 without a remainder.
1,5,1307,6535
Greatest Common Factor
We found the factors 470,6535 . The biggest common factor number is the GCF number.
So the greatest common factor 470,6535 is 5.
Lets's calculate LCM of 588,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 60564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/60564
Therefore, the GCF of Fractions 470/588,6535/103 is 5/60564
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 588,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(588,103) x common factors =1 x 1 = 1
LCM(588,103) = ( 588 × 103 ) / 1
LCM(588,103) = 60564 / 1
LCM(588,103) = 60564
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 470/588, 6535/103?
Answer: GCF of Numerators as per given numbers 470/588, 6535/103 is
GCF of Numerators i.e. for 470,6535 is 5
LCM of denominators i.e. for 588,103 is 60564.
Thus, GCF of Fractions is 5/60564.Finally, GCF of Fractions for 470/588, 6535/103 is 5/60564.