Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 386/854,1446/497
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 386,1446
Greatest Common Factor of Numerators i.e. GCF of 386,1446 is 2 .
LCM of Denominators means LCM of 854,497 as per the given fractions.
LCM of 854,497 is 60634 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 386,1446
2 | 386, 1446 |
193, 723 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 1446
List of positive integer factors of 1446 that divides 1446 without a remainder.
1,2,3,6,241,482,723,1446
Greatest Common Factor
We found the factors 386,1446 . The biggest common factor number is the GCF number.
So the greatest common factor 386,1446 is 2.
Lets's calculate LCM of 854,497
7 | 854, 497 |
122, 71 |
∴ So the LCM of the given numbers is 7 x 122 x 71 = 60634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60634
Therefore, the GCF of Fractions 386/854,1446/497 is 2/60634
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 854,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,497) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(854,497) x common factors =7 x 1 = 7
LCM(854,497) = ( 854 × 497 ) / 7
LCM(854,497) = 424438 / 7
LCM(854,497) = 60634
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 386/854, 1446/497?
Answer: GCF of Numerators as per given numbers 386/854, 1446/497 is
GCF of Numerators i.e. for 386,1446 is 2
LCM of denominators i.e. for 854,497 is 60634.
Thus, GCF of Fractions is 2/60634.Finally, GCF of Fractions for 386/854, 1446/497 is 2/60634.