Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1621/217,9857/472
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 1621,9857
Greatest Common Factor of Numerators i.e. GCF of 1621,9857 is 1 .
LCM of Denominators means LCM of 217,472 as per the given fractions.
LCM of 217,472 is 102424 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1621,9857
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1621
List of positive integer factors of 1621 that divides 1621 without a remainder.
1,1621
Factors of 9857
List of positive integer factors of 9857 that divides 9857 without a remainder.
1,9857
Greatest Common Factor
We found the factors 1621,9857 . The biggest common factor number is the GCF number.
So the greatest common factor 1621,9857 is 1.
Lets's calculate LCM of 217,472
Given numbers has no common factors except 1. So, there LCM is their product i.e 102424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102424
Therefore, the GCF of Fractions 1621/217,9857/472 is 1/102424
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 217,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,472) x common factors =1 x 1 = 1
LCM(217,472) = ( 217 × 472 ) / 1
LCM(217,472) = 102424 / 1
LCM(217,472) = 102424
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 1621/217, 9857/472?
Answer: GCF of Numerators as per given numbers 1621/217, 9857/472 is
GCF of Numerators i.e. for 1621,9857 is 1
LCM of denominators i.e. for 217,472 is 102424.
Thus, GCF of Fractions is 1/102424.Finally, GCF of Fractions for 1621/217, 9857/472 is 1/102424.