Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 479/866,317/466
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 479,317
Greatest Common Factor of Numerators i.e. GCF of 479,317 is 1 .
LCM of Denominators means LCM of 866,466 as per the given fractions.
LCM of 866,466 is 201778 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 479,317
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Factors of 317
List of positive integer factors of 317 that divides 317 without a remainder.
1,317
Greatest Common Factor
We found the factors 479,317 . The biggest common factor number is the GCF number.
So the greatest common factor 479,317 is 1.
Lets's calculate LCM of 866,466
2 | 866, 466 |
433, 233 |
∴ So the LCM of the given numbers is 2 x 433 x 233 = 201778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201778
Therefore, the GCF of Fractions 479/866,317/466 is 1/201778
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 866,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(866,466) x common factors =2 x 1 = 2
LCM(866,466) = ( 866 × 466 ) / 2
LCM(866,466) = 403556 / 2
LCM(866,466) = 201778
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 479/866, 317/466?
Answer: GCF of Numerators as per given numbers 479/866, 317/466 is
GCF of Numerators i.e. for 479,317 is 1
LCM of denominators i.e. for 866,466 is 201778.
Thus, GCF of Fractions is 1/201778.Finally, GCF of Fractions for 479/866, 317/466 is 1/201778.