Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 316/29,418/71,290/649
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 316,418,290
Greatest Common Factor of Numerators i.e. GCF of 316,418,290 is 2 .
LCM of Denominators means LCM of 29,71,649 as per the given fractions.
LCM of 29,71,649 is 1336291 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 316,418,290
2 | 316, 418, 290 |
158, 209, 145 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 316,418,290 . The biggest common factor number is the GCF number.
So the greatest common factor 316,418,290 is 2.
Lets's calculate LCM of 29,71,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 1336291
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1336291
Therefore, the GCF of Fractions 316/29,418/71,290/649 is 2/1336291
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 29,71,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,71,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,71,649) x common factors =1 x 1 = 1
LCM(29,71,649) = ( 29 × 71 × 649 ) / 1
LCM(29,71,649) = 1336291 / 1
LCM(29,71,649) = 1336291
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 316/29, 418/71, 290/649?
Answer: GCF of Numerators as per given numbers 316/29, 418/71, 290/649 is
GCF of Numerators i.e. for 316,418,290 is 2
LCM of denominators i.e. for 29,71,649 is 1336291.
Thus, GCF of Fractions is 2/1336291.Finally, GCF of Fractions for 316/29, 418/71, 290/649 is 2/1336291.