Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4746/604,6447/4069
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 4746,6447
Greatest Common Factor of Numerators i.e. GCF of 4746,6447 is 21 .
LCM of Denominators means LCM of 604,4069 as per the given fractions.
LCM of 604,4069 is 2457676 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4746,6447
3 | 4746, 6447 |
7 | 1582, 2149 |
226, 307 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Factors of 4746
List of positive integer factors of 4746 that divides 4746 without a remainder.
1,2,3,6,7,14,21,42,113,226,339,678,791,1582,2373,4746
Factors of 6447
List of positive integer factors of 6447 that divides 6447 without a remainder.
1,3,7,21,307,921,2149,6447
Greatest Common Factor
We found the factors 4746,6447 . The biggest common factor number is the GCF number.
So the greatest common factor 4746,6447 is 21.
Lets's calculate LCM of 604,4069
Given numbers has no common factors except 1. So, there LCM is their product i.e 2457676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/2457676
Therefore, the GCF of Fractions 4746/604,6447/4069 is 21/2457676
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 604,4069 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,4069) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(604,4069) x common factors =1 x 1 = 1
LCM(604,4069) = ( 604 × 4069 ) / 1
LCM(604,4069) = 2457676 / 1
LCM(604,4069) = 2457676
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 4746/604, 6447/4069?
Answer: GCF of Numerators as per given numbers 4746/604, 6447/4069 is
GCF of Numerators i.e. for 4746,6447 is 21
LCM of denominators i.e. for 604,4069 is 2457676.
Thus, GCF of Fractions is 21/2457676.Finally, GCF of Fractions for 4746/604, 6447/4069 is 21/2457676.