Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 907/48,329/19,670/408
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 907,329,670
Greatest Common Factor of Numerators i.e. GCF of 907,329,670 is 1 .
LCM of Denominators means LCM of 48,19,408 as per the given fractions.
LCM of 48,19,408 is 15504 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 907,329,670
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 907
List of positive integer factors of 907 that divides 907 without a remainder.
1,907
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 907,329,670 . The biggest common factor number is the GCF number.
So the greatest common factor 907,329,670 is 1.
Lets's calculate LCM of 48,19,408
2 | 48, 19, 408 |
2 | 24, 19, 204 |
2 | 12, 19, 102 |
3 | 6, 19, 51 |
2, 19, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 19 x 17 = 15504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15504
Therefore, the GCF of Fractions 907/48,329/19,670/408 is 1/15504
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 48,19,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,19,408) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(48,19,408) x common factors =1 x 24 = 24
LCM(48,19,408) = ( 48 × 19 × 408 ) / 24
LCM(48,19,408) = 372096 / 24
LCM(48,19,408) = 15504
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 907/48, 329/19, 670/408?
Answer: GCF of Numerators as per given numbers 907/48, 329/19, 670/408 is
GCF of Numerators i.e. for 907,329,670 is 1
LCM of denominators i.e. for 48,19,408 is 15504.
Thus, GCF of Fractions is 1/15504.Finally, GCF of Fractions for 907/48, 329/19, 670/408 is 1/15504.