Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/122,12/628,994/517
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 26,12,994
Greatest Common Factor of Numerators i.e. GCF of 26,12,994 is 2 .
LCM of Denominators means LCM of 122,628,517 as per the given fractions.
LCM of 122,628,517 is 19805236 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 26,12,994
2 | 26, 12, 994 |
13, 6, 497 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 26,12,994 . The biggest common factor number is the GCF number.
So the greatest common factor 26,12,994 is 2.
Lets's calculate LCM of 122,628,517
2 | 122, 628, 517 |
61, 314, 517 |
∴ So the LCM of the given numbers is 2 x 61 x 314 x 517 = 19805236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19805236
Therefore, the GCF of Fractions 26/122,12/628,994/517 is 2/19805236
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 122,628,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,628,517) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(122,628,517) x common factors =1 x 2 = 2
LCM(122,628,517) = ( 122 × 628 × 517 ) / 2
LCM(122,628,517) = 39610472 / 2
LCM(122,628,517) = 19805236
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 26/122, 12/628, 994/517?
Answer: GCF of Numerators as per given numbers 26/122, 12/628, 994/517 is
GCF of Numerators i.e. for 26,12,994 is 2
LCM of denominators i.e. for 122,628,517 is 19805236.
Thus, GCF of Fractions is 2/19805236.Finally, GCF of Fractions for 26/122, 12/628, 994/517 is 2/19805236.