Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5513/40,7940/276
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 5513,7940
Greatest Common Factor of Numerators i.e. GCF of 5513,7940 is 1 .
LCM of Denominators means LCM of 40,276 as per the given fractions.
LCM of 40,276 is 2760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5513,7940
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5513
List of positive integer factors of 5513 that divides 5513 without a remainder.
1,37,149,5513
Factors of 7940
List of positive integer factors of 7940 that divides 7940 without a remainder.
1,2,4,5,10,20,397,794,1588,1985,3970,7940
Greatest Common Factor
We found the factors 5513,7940 . The biggest common factor number is the GCF number.
So the greatest common factor 5513,7940 is 1.
Lets's calculate LCM of 40,276
2 | 40, 276 |
2 | 20, 138 |
10, 69 |
∴ So the LCM of the given numbers is 2 x 2 x 10 x 69 = 2760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2760
Therefore, the GCF of Fractions 5513/40,7940/276 is 1/2760
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 40,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,276) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(40,276) x common factors =4 x 1 = 4
LCM(40,276) = ( 40 × 276 ) / 4
LCM(40,276) = 11040 / 4
LCM(40,276) = 2760
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 5513/40, 7940/276?
Answer: GCF of Numerators as per given numbers 5513/40, 7940/276 is
GCF of Numerators i.e. for 5513,7940 is 1
LCM of denominators i.e. for 40,276 is 2760.
Thus, GCF of Fractions is 1/2760.Finally, GCF of Fractions for 5513/40, 7940/276 is 1/2760.