Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 410/35,488/84,518/192
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 410,488,518
Greatest Common Factor of Numerators i.e. GCF of 410,488,518 is 2 .
LCM of Denominators means LCM of 35,84,192 as per the given fractions.
LCM of 35,84,192 is 6720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 410,488,518
2 | 410, 488, 518 |
205, 244, 259 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Factors of 518
List of positive integer factors of 518 that divides 518 without a remainder.
1,2,7,14,37,74,259,518
Greatest Common Factor
We found the factors 410,488,518 . The biggest common factor number is the GCF number.
So the greatest common factor 410,488,518 is 2.
Lets's calculate LCM of 35,84,192
2 | 35, 84, 192 |
2 | 35, 42, 96 |
3 | 35, 21, 48 |
7 | 35, 7, 16 |
5, 1, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 5 x 1 x 16 = 6720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6720
Therefore, the GCF of Fractions 410/35,488/84,518/192 is 2/6720
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 35,84,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,84,192) = 1
common factors(in case of two or more numbers have common factors) = 84
GCF(35,84,192) x common factors =1 x 84 = 84
LCM(35,84,192) = ( 35 × 84 × 192 ) / 84
LCM(35,84,192) = 564480 / 84
LCM(35,84,192) = 6720
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 410/35, 488/84, 518/192?
Answer: GCF of Numerators as per given numbers 410/35, 488/84, 518/192 is
GCF of Numerators i.e. for 410,488,518 is 2
LCM of denominators i.e. for 35,84,192 is 6720.
Thus, GCF of Fractions is 2/6720.Finally, GCF of Fractions for 410/35, 488/84, 518/192 is 2/6720.