Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/897,170/542,830/947
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 27,170,830
Greatest Common Factor of Numerators i.e. GCF of 27,170,830 is 1 .
LCM of Denominators means LCM of 897,542,947 as per the given fractions.
LCM of 897,542,947 is 460406778 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,170,830
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 27,170,830 . The biggest common factor number is the GCF number.
So the greatest common factor 27,170,830 is 1.
Lets's calculate LCM of 897,542,947
Given numbers has no common factors except 1. So, there LCM is their product i.e 460406778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/460406778
Therefore, the GCF of Fractions 27/897,170/542,830/947 is 1/460406778
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 897,542,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,542,947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(897,542,947) x common factors =1 x 1 = 1
LCM(897,542,947) = ( 897 × 542 × 947 ) / 1
LCM(897,542,947) = 460406778 / 1
LCM(897,542,947) = 460406778
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 27/897, 170/542, 830/947?
Answer: GCF of Numerators as per given numbers 27/897, 170/542, 830/947 is
GCF of Numerators i.e. for 27,170,830 is 1
LCM of denominators i.e. for 897,542,947 is 460406778.
Thus, GCF of Fractions is 1/460406778.Finally, GCF of Fractions for 27/897, 170/542, 830/947 is 1/460406778.