Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 592/22,4483/566
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 592,4483
Greatest Common Factor of Numerators i.e. GCF of 592,4483 is 1 .
LCM of Denominators means LCM of 22,566 as per the given fractions.
LCM of 22,566 is 6226 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 592,4483
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 4483
List of positive integer factors of 4483 that divides 4483 without a remainder.
1,4483
Greatest Common Factor
We found the factors 592,4483 . The biggest common factor number is the GCF number.
So the greatest common factor 592,4483 is 1.
Lets's calculate LCM of 22,566
2 | 22, 566 |
11, 283 |
∴ So the LCM of the given numbers is 2 x 11 x 283 = 6226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6226
Therefore, the GCF of Fractions 592/22,4483/566 is 1/6226
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 22,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,566) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(22,566) x common factors =2 x 1 = 2
LCM(22,566) = ( 22 × 566 ) / 2
LCM(22,566) = 12452 / 2
LCM(22,566) = 6226
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 592/22, 4483/566?
Answer: GCF of Numerators as per given numbers 592/22, 4483/566 is
GCF of Numerators i.e. for 592,4483 is 1
LCM of denominators i.e. for 22,566 is 6226.
Thus, GCF of Fractions is 1/6226.Finally, GCF of Fractions for 592/22, 4483/566 is 1/6226.