Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 825/886,544/324,113/241
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 825,544,113
Greatest Common Factor of Numerators i.e. GCF of 825,544,113 is 1 .
LCM of Denominators means LCM of 886,324,241 as per the given fractions.
LCM of 886,324,241 is 34591212 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 825,544,113
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Greatest Common Factor
We found the factors 825,544,113 . The biggest common factor number is the GCF number.
So the greatest common factor 825,544,113 is 1.
Lets's calculate LCM of 886,324,241
2 | 886, 324, 241 |
443, 162, 241 |
∴ So the LCM of the given numbers is 2 x 443 x 162 x 241 = 34591212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34591212
Therefore, the GCF of Fractions 825/886,544/324,113/241 is 1/34591212
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 886,324,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,324,241) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(886,324,241) x common factors =1 x 2 = 2
LCM(886,324,241) = ( 886 × 324 × 241 ) / 2
LCM(886,324,241) = 69182424 / 2
LCM(886,324,241) = 34591212
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 825/886, 544/324, 113/241?
Answer: GCF of Numerators as per given numbers 825/886, 544/324, 113/241 is
GCF of Numerators i.e. for 825,544,113 is 1
LCM of denominators i.e. for 886,324,241 is 34591212.
Thus, GCF of Fractions is 1/34591212.Finally, GCF of Fractions for 825/886, 544/324, 113/241 is 1/34591212.