Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 276/431,480/296
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 276,480
Greatest Common Factor of Numerators i.e. GCF of 276,480 is 12 .
LCM of Denominators means LCM of 431,296 as per the given fractions.
LCM of 431,296 is 127576 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 276,480
2 | 276, 480 |
2 | 138, 240 |
3 | 69, 120 |
23, 40 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Factors of 480
List of positive integer factors of 480 that divides 480 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Greatest Common Factor
We found the factors 276,480 . The biggest common factor number is the GCF number.
So the greatest common factor 276,480 is 12.
Lets's calculate LCM of 431,296
Given numbers has no common factors except 1. So, there LCM is their product i.e 127576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/127576
Therefore, the GCF of Fractions 276/431,480/296 is 12/127576
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 431,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,296) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,296) x common factors =1 x 1 = 1
LCM(431,296) = ( 431 × 296 ) / 1
LCM(431,296) = 127576 / 1
LCM(431,296) = 127576
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 276/431, 480/296?
Answer: GCF of Numerators as per given numbers 276/431, 480/296 is
GCF of Numerators i.e. for 276,480 is 12
LCM of denominators i.e. for 431,296 is 127576.
Thus, GCF of Fractions is 12/127576.Finally, GCF of Fractions for 276/431, 480/296 is 12/127576.