Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2839/768,6071/321
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 2839,6071
Greatest Common Factor of Numerators i.e. GCF of 2839,6071 is 1 .
LCM of Denominators means LCM of 768,321 as per the given fractions.
LCM of 768,321 is 82176 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2839,6071
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2839
List of positive integer factors of 2839 that divides 2839 without a remainder.
1,17,167,2839
Factors of 6071
List of positive integer factors of 6071 that divides 6071 without a remainder.
1,13,467,6071
Greatest Common Factor
We found the factors 2839,6071 . The biggest common factor number is the GCF number.
So the greatest common factor 2839,6071 is 1.
Lets's calculate LCM of 768,321
3 | 768, 321 |
256, 107 |
∴ So the LCM of the given numbers is 3 x 256 x 107 = 82176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82176
Therefore, the GCF of Fractions 2839/768,6071/321 is 1/82176
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 768,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,321) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(768,321) x common factors =3 x 1 = 3
LCM(768,321) = ( 768 × 321 ) / 3
LCM(768,321) = 246528 / 3
LCM(768,321) = 82176
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 2839/768, 6071/321?
Answer: GCF of Numerators as per given numbers 2839/768, 6071/321 is
GCF of Numerators i.e. for 2839,6071 is 1
LCM of denominators i.e. for 768,321 is 82176.
Thus, GCF of Fractions is 1/82176.Finally, GCF of Fractions for 2839/768, 6071/321 is 1/82176.