Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6514/16,2492/922
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 6514,2492
Greatest Common Factor of Numerators i.e. GCF of 6514,2492 is 2 .
LCM of Denominators means LCM of 16,922 as per the given fractions.
LCM of 16,922 is 7376 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6514,2492
2 | 6514, 2492 |
3257, 1246 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6514
List of positive integer factors of 6514 that divides 6514 without a remainder.
1,2,3257,6514
Factors of 2492
List of positive integer factors of 2492 that divides 2492 without a remainder.
1,2,4,7,14,28,89,178,356,623,1246,2492
Greatest Common Factor
We found the factors 6514,2492 . The biggest common factor number is the GCF number.
So the greatest common factor 6514,2492 is 2.
Lets's calculate LCM of 16,922
2 | 16, 922 |
8, 461 |
∴ So the LCM of the given numbers is 2 x 8 x 461 = 7376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7376
Therefore, the GCF of Fractions 6514/16,2492/922 is 2/7376
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 16,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(16,922) x common factors =2 x 1 = 2
LCM(16,922) = ( 16 × 922 ) / 2
LCM(16,922) = 14752 / 2
LCM(16,922) = 7376
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 6514/16, 2492/922?
Answer: GCF of Numerators as per given numbers 6514/16, 2492/922 is
GCF of Numerators i.e. for 6514,2492 is 2
LCM of denominators i.e. for 16,922 is 7376.
Thus, GCF of Fractions is 2/7376.Finally, GCF of Fractions for 6514/16, 2492/922 is 2/7376.