Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 683/446,9584/668
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 683,9584
Greatest Common Factor of Numerators i.e. GCF of 683,9584 is 1 .
LCM of Denominators means LCM of 446,668 as per the given fractions.
LCM of 446,668 is 148964 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 683,9584
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 9584
List of positive integer factors of 9584 that divides 9584 without a remainder.
1,2,4,8,16,599,1198,2396,4792,9584
Greatest Common Factor
We found the factors 683,9584 . The biggest common factor number is the GCF number.
So the greatest common factor 683,9584 is 1.
Lets's calculate LCM of 446,668
2 | 446, 668 |
223, 334 |
∴ So the LCM of the given numbers is 2 x 223 x 334 = 148964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148964
Therefore, the GCF of Fractions 683/446,9584/668 is 1/148964
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 446,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,668) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,668) x common factors =2 x 1 = 2
LCM(446,668) = ( 446 × 668 ) / 2
LCM(446,668) = 297928 / 2
LCM(446,668) = 148964
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 683/446, 9584/668?
Answer: GCF of Numerators as per given numbers 683/446, 9584/668 is
GCF of Numerators i.e. for 683,9584 is 1
LCM of denominators i.e. for 446,668 is 148964.
Thus, GCF of Fractions is 1/148964.Finally, GCF of Fractions for 683/446, 9584/668 is 1/148964.