Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/35,14/55,29/329,665/418
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 9,14,29,665
Greatest Common Factor of Numerators i.e. GCF of 9,14,29,665 is 1 .
LCM of Denominators means LCM of 35,55,329,418 as per the given fractions.
LCM of 35,55,329,418 is 687610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,14,29,665
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 9,14,29,665 . The biggest common factor number is the GCF number.
So the greatest common factor 9,14,29,665 is 1.
Lets's calculate LCM of 35,55,329,418
5 | 35, 55, 329, 418 |
7 | 7, 11, 329, 418 |
11 | 1, 11, 47, 418 |
1, 1, 47, 38 |
∴ So the LCM of the given numbers is 5 x 7 x 11 x 1 x 1 x 47 x 38 = 687610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/687610
Therefore, the GCF of Fractions 9/35,14/55,29/329,665/418 is 1/687610
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 35,55,329,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,55,329,418) = 1
common factors(in case of two or more numbers have common factors) = 385
GCF(35,55,329,418) x common factors =1 x 385 = 385
LCM(35,55,329,418) = ( 35 × 55 × 329 × 418 ) / 385
LCM(35,55,329,418) = 264729850 / 385
LCM(35,55,329,418) = 687610
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 9/35, 14/55, 29/329, 665/418?
Answer: GCF of Numerators as per given numbers 9/35, 14/55, 29/329, 665/418 is
GCF of Numerators i.e. for 9,14,29,665 is 1
LCM of denominators i.e. for 35,55,329,418 is 687610.
Thus, GCF of Fractions is 1/687610.Finally, GCF of Fractions for 9/35, 14/55, 29/329, 665/418 is 1/687610.