Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 54/77,12/23,811/804
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 54,12,811
Greatest Common Factor of Numerators i.e. GCF of 54,12,811 is 1 .
LCM of Denominators means LCM of 77,23,804 as per the given fractions.
LCM of 77,23,804 is 1423884 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 54,12,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Greatest Common Factor
We found the factors 54,12,811 . The biggest common factor number is the GCF number.
So the greatest common factor 54,12,811 is 1.
Lets's calculate LCM of 77,23,804
Given numbers has no common factors except 1. So, there LCM is their product i.e 1423884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1423884
Therefore, the GCF of Fractions 54/77,12/23,811/804 is 1/1423884
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 77,23,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,23,804) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,23,804) x common factors =1 x 1 = 1
LCM(77,23,804) = ( 77 × 23 × 804 ) / 1
LCM(77,23,804) = 1423884 / 1
LCM(77,23,804) = 1423884
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 54/77, 12/23, 811/804?
Answer: GCF of Numerators as per given numbers 54/77, 12/23, 811/804 is
GCF of Numerators i.e. for 54,12,811 is 1
LCM of denominators i.e. for 77,23,804 is 1423884.
Thus, GCF of Fractions is 1/1423884.Finally, GCF of Fractions for 54/77, 12/23, 811/804 is 1/1423884.