Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 477/79,408/3483
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 477,408
Greatest Common Factor of Numerators i.e. GCF of 477,408 is 3 .
LCM of Denominators means LCM of 79,3483 as per the given fractions.
LCM of 79,3483 is 275157 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 477,408
3 | 477, 408 |
159, 136 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 477,408 . The biggest common factor number is the GCF number.
So the greatest common factor 477,408 is 3.
Lets's calculate LCM of 79,3483
Given numbers has no common factors except 1. So, there LCM is their product i.e 275157
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/275157
Therefore, the GCF of Fractions 477/79,408/3483 is 3/275157
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 79,3483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,3483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,3483) x common factors =1 x 1 = 1
LCM(79,3483) = ( 79 × 3483 ) / 1
LCM(79,3483) = 275157 / 1
LCM(79,3483) = 275157
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 477/79, 408/3483?
Answer: GCF of Numerators as per given numbers 477/79, 408/3483 is
GCF of Numerators i.e. for 477,408 is 3
LCM of denominators i.e. for 79,3483 is 275157.
Thus, GCF of Fractions is 3/275157.Finally, GCF of Fractions for 477/79, 408/3483 is 3/275157.