Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6477/567,5346/978
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 6477,5346
Greatest Common Factor of Numerators i.e. GCF of 6477,5346 is 3 .
LCM of Denominators means LCM of 567,978 as per the given fractions.
LCM of 567,978 is 184842 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6477,5346
3 | 6477, 5346 |
2159, 1782 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6477
List of positive integer factors of 6477 that divides 6477 without a remainder.
1,3,17,51,127,381,2159,6477
Factors of 5346
List of positive integer factors of 5346 that divides 5346 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,243,297,486,594,891,1782,2673,5346
Greatest Common Factor
We found the factors 6477,5346 . The biggest common factor number is the GCF number.
So the greatest common factor 6477,5346 is 3.
Lets's calculate LCM of 567,978
3 | 567, 978 |
189, 326 |
∴ So the LCM of the given numbers is 3 x 189 x 326 = 184842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/184842
Therefore, the GCF of Fractions 6477/567,5346/978 is 3/184842
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 567,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,978) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(567,978) x common factors =3 x 1 = 3
LCM(567,978) = ( 567 × 978 ) / 3
LCM(567,978) = 554526 / 3
LCM(567,978) = 184842
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 6477/567, 5346/978?
Answer: GCF of Numerators as per given numbers 6477/567, 5346/978 is
GCF of Numerators i.e. for 6477,5346 is 3
LCM of denominators i.e. for 567,978 is 184842.
Thus, GCF of Fractions is 3/184842.Finally, GCF of Fractions for 6477/567, 5346/978 is 3/184842.