Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 343/6180,181/9740
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 343,181
Greatest Common Factor of Numerators i.e. GCF of 343,181 is 1 .
LCM of Denominators means LCM of 6180,9740 as per the given fractions.
LCM of 6180,9740 is 3009660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 343,181
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 343
List of positive integer factors of 343 that divides 343 without a remainder.
1,7,49,343
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Greatest Common Factor
We found the factors 343,181 . The biggest common factor number is the GCF number.
So the greatest common factor 343,181 is 1.
Lets's calculate LCM of 6180,9740
2 | 6180, 9740 |
2 | 3090, 4870 |
5 | 1545, 2435 |
309, 487 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 309 x 487 = 3009660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3009660
Therefore, the GCF of Fractions 343/6180,181/9740 is 1/3009660
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 6180,9740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6180,9740) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(6180,9740) x common factors =20 x 1 = 20
LCM(6180,9740) = ( 6180 × 9740 ) / 20
LCM(6180,9740) = 60193200 / 20
LCM(6180,9740) = 3009660
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 343/6180, 181/9740?
Answer: GCF of Numerators as per given numbers 343/6180, 181/9740 is
GCF of Numerators i.e. for 343,181 is 1
LCM of denominators i.e. for 6180,9740 is 3009660.
Thus, GCF of Fractions is 1/3009660.Finally, GCF of Fractions for 343/6180, 181/9740 is 1/3009660.