Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3143/54,5721/842
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 3143,5721
Greatest Common Factor of Numerators i.e. GCF of 3143,5721 is 1 .
LCM of Denominators means LCM of 54,842 as per the given fractions.
LCM of 54,842 is 22734 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3143,5721
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3143
List of positive integer factors of 3143 that divides 3143 without a remainder.
1,7,449,3143
Factors of 5721
List of positive integer factors of 5721 that divides 5721 without a remainder.
1,3,1907,5721
Greatest Common Factor
We found the factors 3143,5721 . The biggest common factor number is the GCF number.
So the greatest common factor 3143,5721 is 1.
Lets's calculate LCM of 54,842
2 | 54, 842 |
27, 421 |
∴ So the LCM of the given numbers is 2 x 27 x 421 = 22734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22734
Therefore, the GCF of Fractions 3143/54,5721/842 is 1/22734
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 54,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,842) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(54,842) x common factors =2 x 1 = 2
LCM(54,842) = ( 54 × 842 ) / 2
LCM(54,842) = 45468 / 2
LCM(54,842) = 22734
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 3143/54, 5721/842?
Answer: GCF of Numerators as per given numbers 3143/54, 5721/842 is
GCF of Numerators i.e. for 3143,5721 is 1
LCM of denominators i.e. for 54,842 is 22734.
Thus, GCF of Fractions is 1/22734.Finally, GCF of Fractions for 3143/54, 5721/842 is 1/22734.