Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5603/384,2918/3476
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 5603,2918
Greatest Common Factor of Numerators i.e. GCF of 5603,2918 is 1 .
LCM of Denominators means LCM of 384,3476 as per the given fractions.
LCM of 384,3476 is 333696 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5603,2918
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5603
List of positive integer factors of 5603 that divides 5603 without a remainder.
1,13,431,5603
Factors of 2918
List of positive integer factors of 2918 that divides 2918 without a remainder.
1,2,1459,2918
Greatest Common Factor
We found the factors 5603,2918 . The biggest common factor number is the GCF number.
So the greatest common factor 5603,2918 is 1.
Lets's calculate LCM of 384,3476
2 | 384, 3476 |
2 | 192, 1738 |
96, 869 |
∴ So the LCM of the given numbers is 2 x 2 x 96 x 869 = 333696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/333696
Therefore, the GCF of Fractions 5603/384,2918/3476 is 1/333696
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 384,3476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,3476) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(384,3476) x common factors =4 x 1 = 4
LCM(384,3476) = ( 384 × 3476 ) / 4
LCM(384,3476) = 1334784 / 4
LCM(384,3476) = 333696
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 5603/384, 2918/3476?
Answer: GCF of Numerators as per given numbers 5603/384, 2918/3476 is
GCF of Numerators i.e. for 5603,2918 is 1
LCM of denominators i.e. for 384,3476 is 333696.
Thus, GCF of Fractions is 1/333696.Finally, GCF of Fractions for 5603/384, 2918/3476 is 1/333696.