Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/803,588/404,418/741
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 47,588,418
Greatest Common Factor of Numerators i.e. GCF of 47,588,418 is 1 .
LCM of Denominators means LCM of 803,404,741 as per the given fractions.
LCM of 803,404,741 is 240389292 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 47,588,418
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Greatest Common Factor
We found the factors 47,588,418 . The biggest common factor number is the GCF number.
So the greatest common factor 47,588,418 is 1.
Lets's calculate LCM of 803,404,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 240389292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240389292
Therefore, the GCF of Fractions 47/803,588/404,418/741 is 1/240389292
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 803,404,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,404,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,404,741) x common factors =1 x 1 = 1
LCM(803,404,741) = ( 803 × 404 × 741 ) / 1
LCM(803,404,741) = 240389292 / 1
LCM(803,404,741) = 240389292
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 47/803, 588/404, 418/741?
Answer: GCF of Numerators as per given numbers 47/803, 588/404, 418/741 is
GCF of Numerators i.e. for 47,588,418 is 1
LCM of denominators i.e. for 803,404,741 is 240389292.
Thus, GCF of Fractions is 1/240389292.Finally, GCF of Fractions for 47/803, 588/404, 418/741 is 1/240389292.