Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 478/81,169/4120
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 478,169
Greatest Common Factor of Numerators i.e. GCF of 478,169 is 1 .
LCM of Denominators means LCM of 81,4120 as per the given fractions.
LCM of 81,4120 is 333720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 478,169
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Greatest Common Factor
We found the factors 478,169 . The biggest common factor number is the GCF number.
So the greatest common factor 478,169 is 1.
Lets's calculate LCM of 81,4120
Given numbers has no common factors except 1. So, there LCM is their product i.e 333720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/333720
Therefore, the GCF of Fractions 478/81,169/4120 is 1/333720
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 81,4120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,4120) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,4120) x common factors =1 x 1 = 1
LCM(81,4120) = ( 81 × 4120 ) / 1
LCM(81,4120) = 333720 / 1
LCM(81,4120) = 333720
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 478/81, 169/4120?
Answer: GCF of Numerators as per given numbers 478/81, 169/4120 is
GCF of Numerators i.e. for 478,169 is 1
LCM of denominators i.e. for 81,4120 is 333720.
Thus, GCF of Fractions is 1/333720.Finally, GCF of Fractions for 478/81, 169/4120 is 1/333720.