Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 898/54,8693/519
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 898,8693
Greatest Common Factor of Numerators i.e. GCF of 898,8693 is 1 .
LCM of Denominators means LCM of 54,519 as per the given fractions.
LCM of 54,519 is 9342 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 898,8693
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 8693
List of positive integer factors of 8693 that divides 8693 without a remainder.
1,8693
Greatest Common Factor
We found the factors 898,8693 . The biggest common factor number is the GCF number.
So the greatest common factor 898,8693 is 1.
Lets's calculate LCM of 54,519
3 | 54, 519 |
18, 173 |
∴ So the LCM of the given numbers is 3 x 18 x 173 = 9342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9342
Therefore, the GCF of Fractions 898/54,8693/519 is 1/9342
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 54,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,519) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(54,519) x common factors =3 x 1 = 3
LCM(54,519) = ( 54 × 519 ) / 3
LCM(54,519) = 28026 / 3
LCM(54,519) = 9342
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 898/54, 8693/519?
Answer: GCF of Numerators as per given numbers 898/54, 8693/519 is
GCF of Numerators i.e. for 898,8693 is 1
LCM of denominators i.e. for 54,519 is 9342.
Thus, GCF of Fractions is 1/9342.Finally, GCF of Fractions for 898/54, 8693/519 is 1/9342.