Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4423/54,2865/423
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 4423,2865
Greatest Common Factor of Numerators i.e. GCF of 4423,2865 is 1 .
LCM of Denominators means LCM of 54,423 as per the given fractions.
LCM of 54,423 is 2538 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4423,2865
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4423
List of positive integer factors of 4423 that divides 4423 without a remainder.
1,4423
Factors of 2865
List of positive integer factors of 2865 that divides 2865 without a remainder.
1,3,5,15,191,573,955,2865
Greatest Common Factor
We found the factors 4423,2865 . The biggest common factor number is the GCF number.
So the greatest common factor 4423,2865 is 1.
Lets's calculate LCM of 54,423
3 | 54, 423 |
3 | 18, 141 |
6, 47 |
∴ So the LCM of the given numbers is 3 x 3 x 6 x 47 = 2538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2538
Therefore, the GCF of Fractions 4423/54,2865/423 is 1/2538
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 54,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,423) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(54,423) x common factors =9 x 1 = 9
LCM(54,423) = ( 54 × 423 ) / 9
LCM(54,423) = 22842 / 9
LCM(54,423) = 2538
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 4423/54, 2865/423?
Answer: GCF of Numerators as per given numbers 4423/54, 2865/423 is
GCF of Numerators i.e. for 4423,2865 is 1
LCM of denominators i.e. for 54,423 is 2538.
Thus, GCF of Fractions is 1/2538.Finally, GCF of Fractions for 4423/54, 2865/423 is 1/2538.