Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9549/342,8146/862
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 9549,8146
Greatest Common Factor of Numerators i.e. GCF of 9549,8146 is 1 .
LCM of Denominators means LCM of 342,862 as per the given fractions.
LCM of 342,862 is 147402 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9549,8146
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9549
List of positive integer factors of 9549 that divides 9549 without a remainder.
1,3,9,1061,3183,9549
Factors of 8146
List of positive integer factors of 8146 that divides 8146 without a remainder.
1,2,4073,8146
Greatest Common Factor
We found the factors 9549,8146 . The biggest common factor number is the GCF number.
So the greatest common factor 9549,8146 is 1.
Lets's calculate LCM of 342,862
2 | 342, 862 |
171, 431 |
∴ So the LCM of the given numbers is 2 x 171 x 431 = 147402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147402
Therefore, the GCF of Fractions 9549/342,8146/862 is 1/147402
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 342,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(342,862) x common factors =2 x 1 = 2
LCM(342,862) = ( 342 × 862 ) / 2
LCM(342,862) = 294804 / 2
LCM(342,862) = 147402
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 9549/342, 8146/862?
Answer: GCF of Numerators as per given numbers 9549/342, 8146/862 is
GCF of Numerators i.e. for 9549,8146 is 1
LCM of denominators i.e. for 342,862 is 147402.
Thus, GCF of Fractions is 1/147402.Finally, GCF of Fractions for 9549/342, 8146/862 is 1/147402.