Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 812/66,971/73,816/464
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 812,971,816
Greatest Common Factor of Numerators i.e. GCF of 812,971,816 is 1 .
LCM of Denominators means LCM of 66,73,464 as per the given fractions.
LCM of 66,73,464 is 1117776 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 812,971,816
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Greatest Common Factor
We found the factors 812,971,816 . The biggest common factor number is the GCF number.
So the greatest common factor 812,971,816 is 1.
Lets's calculate LCM of 66,73,464
2 | 66, 73, 464 |
33, 73, 232 |
∴ So the LCM of the given numbers is 2 x 33 x 73 x 232 = 1117776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1117776
Therefore, the GCF of Fractions 812/66,971/73,816/464 is 1/1117776
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 66,73,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,73,464) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(66,73,464) x common factors =1 x 2 = 2
LCM(66,73,464) = ( 66 × 73 × 464 ) / 2
LCM(66,73,464) = 2235552 / 2
LCM(66,73,464) = 1117776
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 812/66, 971/73, 816/464?
Answer: GCF of Numerators as per given numbers 812/66, 971/73, 816/464 is
GCF of Numerators i.e. for 812,971,816 is 1
LCM of denominators i.e. for 66,73,464 is 1117776.
Thus, GCF of Fractions is 1/1117776.Finally, GCF of Fractions for 812/66, 971/73, 816/464 is 1/1117776.