Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 54/103,462/892
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 54,462
Greatest Common Factor of Numerators i.e. GCF of 54,462 is 6 .
LCM of Denominators means LCM of 103,892 as per the given fractions.
LCM of 103,892 is 91876 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 54,462
2 | 54, 462 |
3 | 27, 231 |
9, 77 |
∴ So the GCF of the given numbers is 2 x 3 = 6
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 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 54,462 . The biggest common factor number is the GCF number.
So the greatest common factor 54,462 is 6.
Lets's calculate LCM of 103,892
Given numbers has no common factors except 1. So, there LCM is their product i.e 91876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/91876
Therefore, the GCF of Fractions 54/103,462/892 is 6/91876
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 103,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,892) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,892) x common factors =1 x 1 = 1
LCM(103,892) = ( 103 × 892 ) / 1
LCM(103,892) = 91876 / 1
LCM(103,892) = 91876
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 54/103, 462/892?
Answer: GCF of Numerators as per given numbers 54/103, 462/892 is
GCF of Numerators i.e. for 54,462 is 6
LCM of denominators i.e. for 103,892 is 91876.
Thus, GCF of Fractions is 6/91876.Finally, GCF of Fractions for 54/103, 462/892 is 6/91876.