Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 483/66,2744/394
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 483,2744
Greatest Common Factor of Numerators i.e. GCF of 483,2744 is 7 .
LCM of Denominators means LCM of 66,394 as per the given fractions.
LCM of 66,394 is 13002 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 483,2744
7 | 483, 2744 |
69, 392 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 2744
List of positive integer factors of 2744 that divides 2744 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,343,392,686,1372,2744
Greatest Common Factor
We found the factors 483,2744 . The biggest common factor number is the GCF number.
So the greatest common factor 483,2744 is 7.
Lets's calculate LCM of 66,394
2 | 66, 394 |
33, 197 |
∴ So the LCM of the given numbers is 2 x 33 x 197 = 13002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/13002
Therefore, the GCF of Fractions 483/66,2744/394 is 7/13002
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 66,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,394) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(66,394) x common factors =2 x 1 = 2
LCM(66,394) = ( 66 × 394 ) / 2
LCM(66,394) = 26004 / 2
LCM(66,394) = 13002
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 483/66, 2744/394?
Answer: GCF of Numerators as per given numbers 483/66, 2744/394 is
GCF of Numerators i.e. for 483,2744 is 7
LCM of denominators i.e. for 66,394 is 13002.
Thus, GCF of Fractions is 7/13002.Finally, GCF of Fractions for 483/66, 2744/394 is 7/13002.