Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9473/862,3727/3824
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 9473,3727
Greatest Common Factor of Numerators i.e. GCF of 9473,3727 is 1 .
LCM of Denominators means LCM of 862,3824 as per the given fractions.
LCM of 862,3824 is 1648144 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9473,3727
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9473
List of positive integer factors of 9473 that divides 9473 without a remainder.
1,9473
Factors of 3727
List of positive integer factors of 3727 that divides 3727 without a remainder.
1,3727
Greatest Common Factor
We found the factors 9473,3727 . The biggest common factor number is the GCF number.
So the greatest common factor 9473,3727 is 1.
Lets's calculate LCM of 862,3824
2 | 862, 3824 |
431, 1912 |
∴ So the LCM of the given numbers is 2 x 431 x 1912 = 1648144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1648144
Therefore, the GCF of Fractions 9473/862,3727/3824 is 1/1648144
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 862,3824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,3824) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,3824) x common factors =2 x 1 = 2
LCM(862,3824) = ( 862 × 3824 ) / 2
LCM(862,3824) = 3296288 / 2
LCM(862,3824) = 1648144
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 9473/862, 3727/3824?
Answer: GCF of Numerators as per given numbers 9473/862, 3727/3824 is
GCF of Numerators i.e. for 9473,3727 is 1
LCM of denominators i.e. for 862,3824 is 1648144.
Thus, GCF of Fractions is 1/1648144.Finally, GCF of Fractions for 9473/862, 3727/3824 is 1/1648144.