Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/544,63/831,543/831
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 17,63,543
Greatest Common Factor of Numerators i.e. GCF of 17,63,543 is 1 .
LCM of Denominators means LCM of 544,831,831 as per the given fractions.
LCM of 544,831,831 is 452064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 17,63,543
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 543
List of positive integer factors of 543 that divides 543 without a remainder.
1,3,181,543
Greatest Common Factor
We found the factors 17,63,543 . The biggest common factor number is the GCF number.
So the greatest common factor 17,63,543 is 1.
Lets's calculate LCM of 544,831,831
3 | 544, 831, 831 |
277 | 544, 277, 277 |
544, 1, 1 |
∴ So the LCM of the given numbers is 3 x 277 x 544 x 1 x 1 = 452064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/452064
Therefore, the GCF of Fractions 17/544,63/831,543/831 is 1/452064
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 544,831,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,831,831) = 1
common factors(in case of two or more numbers have common factors) = 831
GCF(544,831,831) x common factors =1 x 831 = 831
LCM(544,831,831) = ( 544 × 831 × 831 ) / 831
LCM(544,831,831) = 375665184 / 831
LCM(544,831,831) = 452064
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 17/544, 63/831, 543/831?
Answer: GCF of Numerators as per given numbers 17/544, 63/831, 543/831 is
GCF of Numerators i.e. for 17,63,543 is 1
LCM of denominators i.e. for 544,831,831 is 452064.
Thus, GCF of Fractions is 1/452064.Finally, GCF of Fractions for 17/544, 63/831, 543/831 is 1/452064.