Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4566/592,6775/6800
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 4566,6775
Greatest Common Factor of Numerators i.e. GCF of 4566,6775 is 1 .
LCM of Denominators means LCM of 592,6800 as per the given fractions.
LCM of 592,6800 is 251600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4566,6775
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4566
List of positive integer factors of 4566 that divides 4566 without a remainder.
1,2,3,6,761,1522,2283,4566
Factors of 6775
List of positive integer factors of 6775 that divides 6775 without a remainder.
1,5,25,271,1355,6775
Greatest Common Factor
We found the factors 4566,6775 . The biggest common factor number is the GCF number.
So the greatest common factor 4566,6775 is 1.
Lets's calculate LCM of 592,6800
2 | 592, 6800 |
2 | 296, 3400 |
2 | 148, 1700 |
2 | 74, 850 |
37, 425 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 37 x 425 = 251600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251600
Therefore, the GCF of Fractions 4566/592,6775/6800 is 1/251600
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 592,6800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,6800) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(592,6800) x common factors =16 x 1 = 16
LCM(592,6800) = ( 592 × 6800 ) / 16
LCM(592,6800) = 4025600 / 16
LCM(592,6800) = 251600
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 4566/592, 6775/6800?
Answer: GCF of Numerators as per given numbers 4566/592, 6775/6800 is
GCF of Numerators i.e. for 4566,6775 is 1
LCM of denominators i.e. for 592,6800 is 251600.
Thus, GCF of Fractions is 1/251600.Finally, GCF of Fractions for 4566/592, 6775/6800 is 1/251600.