Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 439/161,6302/813
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 439,6302
Greatest Common Factor of Numerators i.e. GCF of 439,6302 is 1 .
LCM of Denominators means LCM of 161,813 as per the given fractions.
LCM of 161,813 is 130893 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 439,6302
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Factors of 6302
List of positive integer factors of 6302 that divides 6302 without a remainder.
1,2,23,46,137,274,3151,6302
Greatest Common Factor
We found the factors 439,6302 . The biggest common factor number is the GCF number.
So the greatest common factor 439,6302 is 1.
Lets's calculate LCM of 161,813
Given numbers has no common factors except 1. So, there LCM is their product i.e 130893
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130893
Therefore, the GCF of Fractions 439/161,6302/813 is 1/130893
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 161,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,813) x common factors =1 x 1 = 1
LCM(161,813) = ( 161 × 813 ) / 1
LCM(161,813) = 130893 / 1
LCM(161,813) = 130893
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 439/161, 6302/813?
Answer: GCF of Numerators as per given numbers 439/161, 6302/813 is
GCF of Numerators i.e. for 439,6302 is 1
LCM of denominators i.e. for 161,813 is 130893.
Thus, GCF of Fractions is 1/130893.Finally, GCF of Fractions for 439/161, 6302/813 is 1/130893.