Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 416/38,473/8084
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 416,473
Greatest Common Factor of Numerators i.e. GCF of 416,473 is 1 .
LCM of Denominators means LCM of 38,8084 as per the given fractions.
LCM of 38,8084 is 153596 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 416,473
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Greatest Common Factor
We found the factors 416,473 . The biggest common factor number is the GCF number.
So the greatest common factor 416,473 is 1.
Lets's calculate LCM of 38,8084
2 | 38, 8084 |
19, 4042 |
∴ So the LCM of the given numbers is 2 x 19 x 4042 = 153596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153596
Therefore, the GCF of Fractions 416/38,473/8084 is 1/153596
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 38,8084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,8084) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,8084) x common factors =2 x 1 = 2
LCM(38,8084) = ( 38 × 8084 ) / 2
LCM(38,8084) = 307192 / 2
LCM(38,8084) = 153596
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 416/38, 473/8084?
Answer: GCF of Numerators as per given numbers 416/38, 473/8084 is
GCF of Numerators i.e. for 416,473 is 1
LCM of denominators i.e. for 38,8084 is 153596.
Thus, GCF of Fractions is 1/153596.Finally, GCF of Fractions for 416/38, 473/8084 is 1/153596.