Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 886/792,310/464,805/658
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 886,310,805
Greatest Common Factor of Numerators i.e. GCF of 886,310,805 is 1 .
LCM of Denominators means LCM of 792,464,658 as per the given fractions.
LCM of 792,464,658 is 15112944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 886,310,805
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 886,310,805 . The biggest common factor number is the GCF number.
So the greatest common factor 886,310,805 is 1.
Lets's calculate LCM of 792,464,658
2 | 792, 464, 658 |
2 | 396, 232, 329 |
2 | 198, 116, 329 |
99, 58, 329 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 99 x 58 x 329 = 15112944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15112944
Therefore, the GCF of Fractions 886/792,310/464,805/658 is 1/15112944
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 792,464,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,464,658) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(792,464,658) x common factors =2 x 8 = 16
LCM(792,464,658) = ( 792 × 464 × 658 ) / 16
LCM(792,464,658) = 241807104 / 16
LCM(792,464,658) = 15112944
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 886/792, 310/464, 805/658?
Answer: GCF of Numerators as per given numbers 886/792, 310/464, 805/658 is
GCF of Numerators i.e. for 886,310,805 is 1
LCM of denominators i.e. for 792,464,658 is 15112944.
Thus, GCF of Fractions is 1/15112944.Finally, GCF of Fractions for 886/792, 310/464, 805/658 is 1/15112944.