Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 883/36,825/51,945/241
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 883,825,945
Greatest Common Factor of Numerators i.e. GCF of 883,825,945 is 1 .
LCM of Denominators means LCM of 36,51,241 as per the given fractions.
LCM of 36,51,241 is 147492 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 883,825,945
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
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 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 883,825,945 . The biggest common factor number is the GCF number.
So the greatest common factor 883,825,945 is 1.
Lets's calculate LCM of 36,51,241
3 | 36, 51, 241 |
12, 17, 241 |
∴ So the LCM of the given numbers is 3 x 12 x 17 x 241 = 147492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147492
Therefore, the GCF of Fractions 883/36,825/51,945/241 is 1/147492
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 36,51,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,51,241) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(36,51,241) x common factors =1 x 3 = 3
LCM(36,51,241) = ( 36 × 51 × 241 ) / 3
LCM(36,51,241) = 442476 / 3
LCM(36,51,241) = 147492
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 883/36, 825/51, 945/241?
Answer: GCF of Numerators as per given numbers 883/36, 825/51, 945/241 is
GCF of Numerators i.e. for 883,825,945 is 1
LCM of denominators i.e. for 36,51,241 is 147492.
Thus, GCF of Fractions is 1/147492.Finally, GCF of Fractions for 883/36, 825/51, 945/241 is 1/147492.