Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/547,609/273,444/984
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 47,609,444
Greatest Common Factor of Numerators i.e. GCF of 47,609,444 is 1 .
LCM of Denominators means LCM of 547,273,984 as per the given fractions.
LCM of 547,273,984 is 48980568 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 47,609,444
∴ 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 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 47,609,444 . The biggest common factor number is the GCF number.
So the greatest common factor 47,609,444 is 1.
Lets's calculate LCM of 547,273,984
3 | 547, 273, 984 |
547, 91, 328 |
∴ So the LCM of the given numbers is 3 x 547 x 91 x 328 = 48980568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48980568
Therefore, the GCF of Fractions 47/547,609/273,444/984 is 1/48980568
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 547,273,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,273,984) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(547,273,984) x common factors =1 x 3 = 3
LCM(547,273,984) = ( 547 × 273 × 984 ) / 3
LCM(547,273,984) = 146941704 / 3
LCM(547,273,984) = 48980568
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 47/547, 609/273, 444/984?
Answer: GCF of Numerators as per given numbers 47/547, 609/273, 444/984 is
GCF of Numerators i.e. for 47,609,444 is 1
LCM of denominators i.e. for 547,273,984 is 48980568.
Thus, GCF of Fractions is 1/48980568.Finally, GCF of Fractions for 47/547, 609/273, 444/984 is 1/48980568.