Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/802,849/464,215/815
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 29,849,215
Greatest Common Factor of Numerators i.e. GCF of 29,849,215 is 1 .
LCM of Denominators means LCM of 802,464,815 as per the given fractions.
LCM of 802,464,815 is 151642160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,849,215
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Greatest Common Factor
We found the factors 29,849,215 . The biggest common factor number is the GCF number.
So the greatest common factor 29,849,215 is 1.
Lets's calculate LCM of 802,464,815
2 | 802, 464, 815 |
401, 232, 815 |
∴ So the LCM of the given numbers is 2 x 401 x 232 x 815 = 151642160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151642160
Therefore, the GCF of Fractions 29/802,849/464,215/815 is 1/151642160
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 802,464,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,464,815) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(802,464,815) x common factors =1 x 2 = 2
LCM(802,464,815) = ( 802 × 464 × 815 ) / 2
LCM(802,464,815) = 303284320 / 2
LCM(802,464,815) = 151642160
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 29/802, 849/464, 215/815?
Answer: GCF of Numerators as per given numbers 29/802, 849/464, 215/815 is
GCF of Numerators i.e. for 29,849,215 is 1
LCM of denominators i.e. for 802,464,815 is 151642160.
Thus, GCF of Fractions is 1/151642160.Finally, GCF of Fractions for 29/802, 849/464, 215/815 is 1/151642160.