Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5404/19,8323/428
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 5404,8323
Greatest Common Factor of Numerators i.e. GCF of 5404,8323 is 7 .
LCM of Denominators means LCM of 19,428 as per the given fractions.
LCM of 19,428 is 8132 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5404,8323
7 | 5404, 8323 |
772, 1189 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 5404
List of positive integer factors of 5404 that divides 5404 without a remainder.
1,2,4,7,14,28,193,386,772,1351,2702,5404
Factors of 8323
List of positive integer factors of 8323 that divides 8323 without a remainder.
1,7,29,41,203,287,1189,8323
Greatest Common Factor
We found the factors 5404,8323 . The biggest common factor number is the GCF number.
So the greatest common factor 5404,8323 is 7.
Lets's calculate LCM of 19,428
Given numbers has no common factors except 1. So, there LCM is their product i.e 8132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/8132
Therefore, the GCF of Fractions 5404/19,8323/428 is 7/8132
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 19,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,428) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,428) x common factors =1 x 1 = 1
LCM(19,428) = ( 19 × 428 ) / 1
LCM(19,428) = 8132 / 1
LCM(19,428) = 8132
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 5404/19, 8323/428?
Answer: GCF of Numerators as per given numbers 5404/19, 8323/428 is
GCF of Numerators i.e. for 5404,8323 is 7
LCM of denominators i.e. for 19,428 is 8132.
Thus, GCF of Fractions is 7/8132.Finally, GCF of Fractions for 5404/19, 8323/428 is 7/8132.