Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 471/18,542/97,749/348
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 471,542,749
Greatest Common Factor of Numerators i.e. GCF of 471,542,749 is 1 .
LCM of Denominators means LCM of 18,97,348 as per the given fractions.
LCM of 18,97,348 is 101268 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 471,542,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Greatest Common Factor
We found the factors 471,542,749 . The biggest common factor number is the GCF number.
So the greatest common factor 471,542,749 is 1.
Lets's calculate LCM of 18,97,348
2 | 18, 97, 348 |
3 | 9, 97, 174 |
3, 97, 58 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 97 x 58 = 101268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101268
Therefore, the GCF of Fractions 471/18,542/97,749/348 is 1/101268
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 18,97,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,97,348) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(18,97,348) x common factors =1 x 6 = 6
LCM(18,97,348) = ( 18 × 97 × 348 ) / 6
LCM(18,97,348) = 607608 / 6
LCM(18,97,348) = 101268
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 471/18, 542/97, 749/348?
Answer: GCF of Numerators as per given numbers 471/18, 542/97, 749/348 is
GCF of Numerators i.e. for 471,542,749 is 1
LCM of denominators i.e. for 18,97,348 is 101268.
Thus, GCF of Fractions is 1/101268.Finally, GCF of Fractions for 471/18, 542/97, 749/348 is 1/101268.