Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 458/827,2729/3271
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 458,2729
Greatest Common Factor of Numerators i.e. GCF of 458,2729 is 1 .
LCM of Denominators means LCM of 827,3271 as per the given fractions.
LCM of 827,3271 is 2705117 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 458,2729
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 2729
List of positive integer factors of 2729 that divides 2729 without a remainder.
1,2729
Greatest Common Factor
We found the factors 458,2729 . The biggest common factor number is the GCF number.
So the greatest common factor 458,2729 is 1.
Lets's calculate LCM of 827,3271
Given numbers has no common factors except 1. So, there LCM is their product i.e 2705117
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2705117
Therefore, the GCF of Fractions 458/827,2729/3271 is 1/2705117
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 827,3271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,3271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,3271) x common factors =1 x 1 = 1
LCM(827,3271) = ( 827 × 3271 ) / 1
LCM(827,3271) = 2705117 / 1
LCM(827,3271) = 2705117
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 458/827, 2729/3271?
Answer: GCF of Numerators as per given numbers 458/827, 2729/3271 is
GCF of Numerators i.e. for 458,2729 is 1
LCM of denominators i.e. for 827,3271 is 2705117.
Thus, GCF of Fractions is 1/2705117.Finally, GCF of Fractions for 458/827, 2729/3271 is 1/2705117.