Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 849/386,645/662,656/299
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 849,645,656
Greatest Common Factor of Numerators i.e. GCF of 849,645,656 is 1 .
LCM of Denominators means LCM of 386,662,299 as per the given fractions.
LCM of 386,662,299 is 38202034 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 849,645,656
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 849,645,656 . The biggest common factor number is the GCF number.
So the greatest common factor 849,645,656 is 1.
Lets's calculate LCM of 386,662,299
2 | 386, 662, 299 |
193, 331, 299 |
∴ So the LCM of the given numbers is 2 x 193 x 331 x 299 = 38202034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38202034
Therefore, the GCF of Fractions 849/386,645/662,656/299 is 1/38202034
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 386,662,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,662,299) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(386,662,299) x common factors =1 x 2 = 2
LCM(386,662,299) = ( 386 × 662 × 299 ) / 2
LCM(386,662,299) = 76404068 / 2
LCM(386,662,299) = 38202034
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 849/386, 645/662, 656/299?
Answer: GCF of Numerators as per given numbers 849/386, 645/662, 656/299 is
GCF of Numerators i.e. for 849,645,656 is 1
LCM of denominators i.e. for 386,662,299 is 38202034.
Thus, GCF of Fractions is 1/38202034.Finally, GCF of Fractions for 849/386, 645/662, 656/299 is 1/38202034.