Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9813/590,5393/8324
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 9813,5393
Greatest Common Factor of Numerators i.e. GCF of 9813,5393 is 1 .
LCM of Denominators means LCM of 590,8324 as per the given fractions.
LCM of 590,8324 is 2455580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9813,5393
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9813
List of positive integer factors of 9813 that divides 9813 without a remainder.
1,3,3271,9813
Factors of 5393
List of positive integer factors of 5393 that divides 5393 without a remainder.
1,5393
Greatest Common Factor
We found the factors 9813,5393 . The biggest common factor number is the GCF number.
So the greatest common factor 9813,5393 is 1.
Lets's calculate LCM of 590,8324
2 | 590, 8324 |
295, 4162 |
∴ So the LCM of the given numbers is 2 x 295 x 4162 = 2455580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2455580
Therefore, the GCF of Fractions 9813/590,5393/8324 is 1/2455580
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 590,8324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,8324) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,8324) x common factors =2 x 1 = 2
LCM(590,8324) = ( 590 × 8324 ) / 2
LCM(590,8324) = 4911160 / 2
LCM(590,8324) = 2455580
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 9813/590, 5393/8324?
Answer: GCF of Numerators as per given numbers 9813/590, 5393/8324 is
GCF of Numerators i.e. for 9813,5393 is 1
LCM of denominators i.e. for 590,8324 is 2455580.
Thus, GCF of Fractions is 1/2455580.Finally, GCF of Fractions for 9813/590, 5393/8324 is 1/2455580.