Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 41/973,741/342,525/747
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 41,741,525
Greatest Common Factor of Numerators i.e. GCF of 41,741,525 is 1 .
LCM of Denominators means LCM of 973,342,747 as per the given fractions.
LCM of 973,342,747 is 27619578 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 41,741,525
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 41,741,525 . The biggest common factor number is the GCF number.
So the greatest common factor 41,741,525 is 1.
Lets's calculate LCM of 973,342,747
3 | 973, 342, 747 |
3 | 973, 114, 249 |
973, 38, 83 |
∴ So the LCM of the given numbers is 3 x 3 x 973 x 38 x 83 = 27619578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27619578
Therefore, the GCF of Fractions 41/973,741/342,525/747 is 1/27619578
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 973,342,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,342,747) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(973,342,747) x common factors =1 x 9 = 9
LCM(973,342,747) = ( 973 × 342 × 747 ) / 9
LCM(973,342,747) = 248576202 / 9
LCM(973,342,747) = 27619578
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 41/973, 741/342, 525/747?
Answer: GCF of Numerators as per given numbers 41/973, 741/342, 525/747 is
GCF of Numerators i.e. for 41,741,525 is 1
LCM of denominators i.e. for 973,342,747 is 27619578.
Thus, GCF of Fractions is 1/27619578.Finally, GCF of Fractions for 41/973, 741/342, 525/747 is 1/27619578.