Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 54/79,98/55,93/18,41/139
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 54,98,93,41
Greatest Common Factor of Numerators i.e. GCF of 54,98,93,41 is 1 .
LCM of Denominators means LCM of 79,55,18,139 as per the given fractions.
LCM of 79,55,18,139 is 10871190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 54,98,93,41
∴ 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 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Greatest Common Factor
We found the factors 54,98,93,41 . The biggest common factor number is the GCF number.
So the greatest common factor 54,98,93,41 is 1.
Lets's calculate LCM of 79,55,18,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 10871190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10871190
Therefore, the GCF of Fractions 54/79,98/55,93/18,41/139 is 1/10871190
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 79,55,18,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,55,18,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,55,18,139) x common factors =1 x 1 = 1
LCM(79,55,18,139) = ( 79 × 55 × 18 × 139 ) / 1
LCM(79,55,18,139) = 10871190 / 1
LCM(79,55,18,139) = 10871190
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 54/79, 98/55, 93/18, 41/139?
Answer: GCF of Numerators as per given numbers 54/79, 98/55, 93/18, 41/139 is
GCF of Numerators i.e. for 54,98,93,41 is 1
LCM of denominators i.e. for 79,55,18,139 is 10871190.
Thus, GCF of Fractions is 1/10871190.Finally, GCF of Fractions for 54/79, 98/55, 93/18, 41/139 is 1/10871190.