Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4469/51,5484/682
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 4469,5484
Greatest Common Factor of Numerators i.e. GCF of 4469,5484 is 1 .
LCM of Denominators means LCM of 51,682 as per the given fractions.
LCM of 51,682 is 34782 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4469,5484
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4469
List of positive integer factors of 4469 that divides 4469 without a remainder.
1,41,109,4469
Factors of 5484
List of positive integer factors of 5484 that divides 5484 without a remainder.
1,2,3,4,6,12,457,914,1371,1828,2742,5484
Greatest Common Factor
We found the factors 4469,5484 . The biggest common factor number is the GCF number.
So the greatest common factor 4469,5484 is 1.
Lets's calculate LCM of 51,682
Given numbers has no common factors except 1. So, there LCM is their product i.e 34782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34782
Therefore, the GCF of Fractions 4469/51,5484/682 is 1/34782
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 51,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,682) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,682) x common factors =1 x 1 = 1
LCM(51,682) = ( 51 × 682 ) / 1
LCM(51,682) = 34782 / 1
LCM(51,682) = 34782
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 4469/51, 5484/682?
Answer: GCF of Numerators as per given numbers 4469/51, 5484/682 is
GCF of Numerators i.e. for 4469,5484 is 1
LCM of denominators i.e. for 51,682 is 34782.
Thus, GCF of Fractions is 1/34782.Finally, GCF of Fractions for 4469/51, 5484/682 is 1/34782.