Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 54/630,3174/9594
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 54,3174
Greatest Common Factor of Numerators i.e. GCF of 54,3174 is 6 .
LCM of Denominators means LCM of 630,9594 as per the given fractions.
LCM of 630,9594 is 335790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 54,3174
2 | 54, 3174 |
3 | 27, 1587 |
9, 529 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 3174
List of positive integer factors of 3174 that divides 3174 without a remainder.
1,2,3,6,23,46,69,138,529,1058,1587,3174
Greatest Common Factor
We found the factors 54,3174 . The biggest common factor number is the GCF number.
So the greatest common factor 54,3174 is 6.
Lets's calculate LCM of 630,9594
2 | 630, 9594 |
3 | 315, 4797 |
3 | 105, 1599 |
35, 533 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 35 x 533 = 335790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/335790
Therefore, the GCF of Fractions 54/630,3174/9594 is 6/335790
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 630,9594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,9594) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(630,9594) x common factors =18 x 1 = 18
LCM(630,9594) = ( 630 × 9594 ) / 18
LCM(630,9594) = 6044220 / 18
LCM(630,9594) = 335790
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 54/630, 3174/9594?
Answer: GCF of Numerators as per given numbers 54/630, 3174/9594 is
GCF of Numerators i.e. for 54,3174 is 6
LCM of denominators i.e. for 630,9594 is 335790.
Thus, GCF of Fractions is 6/335790.Finally, GCF of Fractions for 54/630, 3174/9594 is 6/335790.