Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/91,54/23,34/189,892/231
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 2,54,34,892
Greatest Common Factor of Numerators i.e. GCF of 2,54,34,892 is 2 .
LCM of Denominators means LCM of 91,23,189,231 as per the given fractions.
LCM of 91,23,189,231 is 621621 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,54,34,892
2 | 2, 54, 34, 892 |
1, 27, 17, 446 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
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 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Greatest Common Factor
We found the factors 2,54,34,892 . The biggest common factor number is the GCF number.
So the greatest common factor 2,54,34,892 is 2.
Lets's calculate LCM of 91,23,189,231
3 | 91, 23, 189, 231 |
7 | 91, 23, 63, 77 |
13, 23, 9, 11 |
∴ So the LCM of the given numbers is 3 x 7 x 13 x 23 x 9 x 11 = 621621
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/621621
Therefore, the GCF of Fractions 2/91,54/23,34/189,892/231 is 2/621621
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 91,23,189,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,23,189,231) = 1
common factors(in case of two or more numbers have common factors) = 147
GCF(91,23,189,231) x common factors =1 x 147 = 147
LCM(91,23,189,231) = ( 91 × 23 × 189 × 231 ) / 147
LCM(91,23,189,231) = 91378287 / 147
LCM(91,23,189,231) = 621621
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 2/91, 54/23, 34/189, 892/231?
Answer: GCF of Numerators as per given numbers 2/91, 54/23, 34/189, 892/231 is
GCF of Numerators i.e. for 2,54,34,892 is 2
LCM of denominators i.e. for 91,23,189,231 is 621621.
Thus, GCF of Fractions is 2/621621.Finally, GCF of Fractions for 2/91, 54/23, 34/189, 892/231 is 2/621621.