Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 193/54,542/940
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 193,542
Greatest Common Factor of Numerators i.e. GCF of 193,542 is 1 .
LCM of Denominators means LCM of 54,940 as per the given fractions.
LCM of 54,940 is 25380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 193,542
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Greatest Common Factor
We found the factors 193,542 . The biggest common factor number is the GCF number.
So the greatest common factor 193,542 is 1.
Lets's calculate LCM of 54,940
2 | 54, 940 |
27, 470 |
∴ So the LCM of the given numbers is 2 x 27 x 470 = 25380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25380
Therefore, the GCF of Fractions 193/54,542/940 is 1/25380
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 54,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,940) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(54,940) x common factors =2 x 1 = 2
LCM(54,940) = ( 54 × 940 ) / 2
LCM(54,940) = 50760 / 2
LCM(54,940) = 25380
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 193/54, 542/940?
Answer: GCF of Numerators as per given numbers 193/54, 542/940 is
GCF of Numerators i.e. for 193,542 is 1
LCM of denominators i.e. for 54,940 is 25380.
Thus, GCF of Fractions is 1/25380.Finally, GCF of Fractions for 193/54, 542/940 is 1/25380.