Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/61,92/27,184/34
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 46,92,184
Greatest Common Factor of Numerators i.e. GCF of 46,92,184 is 46 .
LCM of Denominators means LCM of 61,27,34 as per the given fractions.
LCM of 61,27,34 is 55998 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 46,92,184
2 | 46, 92, 184 |
23 | 23, 46, 92 |
1, 2, 4 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
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 46,92,184 . The biggest common factor number is the GCF number.
So the greatest common factor 46,92,184 is 46.
Lets's calculate LCM of 61,27,34
Given numbers has no common factors except 1. So, there LCM is their product i.e 55998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/55998
Therefore, the GCF of Fractions 46/61,92/27,184/34 is 46/55998
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 61,27,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,27,34) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,27,34) x common factors =1 x 1 = 1
LCM(61,27,34) = ( 61 × 27 × 34 ) / 1
LCM(61,27,34) = 55998 / 1
LCM(61,27,34) = 55998
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 46/61, 92/27, 184/34?
Answer: GCF of Numerators as per given numbers 46/61, 92/27, 184/34 is
GCF of Numerators i.e. for 46,92,184 is 46
LCM of denominators i.e. for 61,27,34 is 55998.
Thus, GCF of Fractions is 46/55998.Finally, GCF of Fractions for 46/61, 92/27, 184/34 is 46/55998.