Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7513/52,8998/408
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 7513,8998
Greatest Common Factor of Numerators i.e. GCF of 7513,8998 is 11 .
LCM of Denominators means LCM of 52,408 as per the given fractions.
LCM of 52,408 is 5304 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7513,8998
11 | 7513, 8998 |
683, 818 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 7513
List of positive integer factors of 7513 that divides 7513 without a remainder.
1,11,683,7513
Factors of 8998
List of positive integer factors of 8998 that divides 8998 without a remainder.
1,2,11,22,409,818,4499,8998
Greatest Common Factor
We found the factors 7513,8998 . The biggest common factor number is the GCF number.
So the greatest common factor 7513,8998 is 11.
Lets's calculate LCM of 52,408
2 | 52, 408 |
2 | 26, 204 |
13, 102 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 102 = 5304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/5304
Therefore, the GCF of Fractions 7513/52,8998/408 is 11/5304
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 52,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,408) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(52,408) x common factors =4 x 1 = 4
LCM(52,408) = ( 52 × 408 ) / 4
LCM(52,408) = 21216 / 4
LCM(52,408) = 5304
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 7513/52, 8998/408?
Answer: GCF of Numerators as per given numbers 7513/52, 8998/408 is
GCF of Numerators i.e. for 7513,8998 is 11
LCM of denominators i.e. for 52,408 is 5304.
Thus, GCF of Fractions is 11/5304.Finally, GCF of Fractions for 7513/52, 8998/408 is 11/5304.