Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 848/913,893/826,184/171
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 848,893,184
Greatest Common Factor of Numerators i.e. GCF of 848,893,184 is 1 .
LCM of Denominators means LCM of 913,826,171 as per the given fractions.
LCM of 913,826,171 is 128957598 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 848,893,184
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1,19,47,893
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 848,893,184 . The biggest common factor number is the GCF number.
So the greatest common factor 848,893,184 is 1.
Lets's calculate LCM of 913,826,171
Given numbers has no common factors except 1. So, there LCM is their product i.e 128957598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128957598
Therefore, the GCF of Fractions 848/913,893/826,184/171 is 1/128957598
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 913,826,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,826,171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(913,826,171) x common factors =1 x 1 = 1
LCM(913,826,171) = ( 913 × 826 × 171 ) / 1
LCM(913,826,171) = 128957598 / 1
LCM(913,826,171) = 128957598
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 848/913, 893/826, 184/171?
Answer: GCF of Numerators as per given numbers 848/913, 893/826, 184/171 is
GCF of Numerators i.e. for 848,893,184 is 1
LCM of denominators i.e. for 913,826,171 is 128957598.
Thus, GCF of Fractions is 1/128957598.Finally, GCF of Fractions for 848/913, 893/826, 184/171 is 1/128957598.