Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 536/681,723/848,268/949
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 536,723,268
Greatest Common Factor of Numerators i.e. GCF of 536,723,268 is 1 .
LCM of Denominators means LCM of 681,848,949 as per the given fractions.
LCM of 681,848,949 is 548036112 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 536,723,268
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Greatest Common Factor
We found the factors 536,723,268 . The biggest common factor number is the GCF number.
So the greatest common factor 536,723,268 is 1.
Lets's calculate LCM of 681,848,949
Given numbers has no common factors except 1. So, there LCM is their product i.e 548036112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/548036112
Therefore, the GCF of Fractions 536/681,723/848,268/949 is 1/548036112
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 681,848,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,848,949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(681,848,949) x common factors =1 x 1 = 1
LCM(681,848,949) = ( 681 × 848 × 949 ) / 1
LCM(681,848,949) = 548036112 / 1
LCM(681,848,949) = 548036112
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 536/681, 723/848, 268/949?
Answer: GCF of Numerators as per given numbers 536/681, 723/848, 268/949 is
GCF of Numerators i.e. for 536,723,268 is 1
LCM of denominators i.e. for 681,848,949 is 548036112.
Thus, GCF of Fractions is 1/548036112.Finally, GCF of Fractions for 536/681, 723/848, 268/949 is 1/548036112.