Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 821/21,168/10,810/853
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 821,168,810
Greatest Common Factor of Numerators i.e. GCF of 821,168,810 is 1 .
LCM of Denominators means LCM of 21,10,853 as per the given fractions.
LCM of 21,10,853 is 179130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 821,168,810
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 821,168,810 . The biggest common factor number is the GCF number.
So the greatest common factor 821,168,810 is 1.
Lets's calculate LCM of 21,10,853
Given numbers has no common factors except 1. So, there LCM is their product i.e 179130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179130
Therefore, the GCF of Fractions 821/21,168/10,810/853 is 1/179130
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 21,10,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,10,853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,10,853) x common factors =1 x 1 = 1
LCM(21,10,853) = ( 21 × 10 × 853 ) / 1
LCM(21,10,853) = 179130 / 1
LCM(21,10,853) = 179130
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 821/21, 168/10, 810/853?
Answer: GCF of Numerators as per given numbers 821/21, 168/10, 810/853 is
GCF of Numerators i.e. for 821,168,810 is 1
LCM of denominators i.e. for 21,10,853 is 179130.
Thus, GCF of Fractions is 1/179130.Finally, GCF of Fractions for 821/21, 168/10, 810/853 is 1/179130.