Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9330/679,3281/838
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 9330,3281
Greatest Common Factor of Numerators i.e. GCF of 9330,3281 is 1 .
LCM of Denominators means LCM of 679,838 as per the given fractions.
LCM of 679,838 is 569002 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9330,3281
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9330
List of positive integer factors of 9330 that divides 9330 without a remainder.
1,2,3,5,6,10,15,30,311,622,933,1555,1866,3110,4665,9330
Factors of 3281
List of positive integer factors of 3281 that divides 3281 without a remainder.
1,17,193,3281
Greatest Common Factor
We found the factors 9330,3281 . The biggest common factor number is the GCF number.
So the greatest common factor 9330,3281 is 1.
Lets's calculate LCM of 679,838
Given numbers has no common factors except 1. So, there LCM is their product i.e 569002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/569002
Therefore, the GCF of Fractions 9330/679,3281/838 is 1/569002
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 679,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,838) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,838) x common factors =1 x 1 = 1
LCM(679,838) = ( 679 × 838 ) / 1
LCM(679,838) = 569002 / 1
LCM(679,838) = 569002
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 9330/679, 3281/838?
Answer: GCF of Numerators as per given numbers 9330/679, 3281/838 is
GCF of Numerators i.e. for 9330,3281 is 1
LCM of denominators i.e. for 679,838 is 569002.
Thus, GCF of Fractions is 1/569002.Finally, GCF of Fractions for 9330/679, 3281/838 is 1/569002.