Use our free GCF of Fractions Calculator tool to compute the GCF of 383/284, 155/514 i.e 1/72988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 383/284, 155/514.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 383/284,155/514
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 383/284,155/514, numerators are 383,155
Denominators are 284,514
The GCF of 383,155 is 1 .
LCM of 284,514 is 72988.
The greatest common factor of 383/284,155/514 = [GCF of 383,155]/[LCM of 284,514]= 1/72988
Therefore, the GCF of 383/284,155/514 is 1/72988.
To find the highest common factor of 383,155, we have to find the factors of both numbers and list the highest common factor.
The factors of 383 are 1, 383
The factors of 155 are 1, 5, 31, 155
The HCF of 383,155 is 1.
Lets's calculate GCF of 383,155
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 383
:1,383
Now, list down the factors of 155
:1,5,31,155
Greatest Common Factor
We found the factors 383,155 . The biggest common factor number is the GCF number.
So the greatest common factor 383,155 is 1.
Lets's calculate LCM of 284,514
2 | 284, 514 |
142, 257 |
∴ So the LCM of the given numbers is 2 x 142 x 257 = 72988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72988
Therefore, the GCF of Fractions 383/284,155/514 is 1/72988
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 284,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(284,514) x common factors =2 x 1 = 2
LCM(284,514) = ( 284 × 514 ) / 2
LCM(284,514) = 145976 / 2
LCM(284,514) = 72988
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 383,155?
The HCF of 383,155 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 383/284, 155/514?
Answer: GCF of Numerators as per given numbers 383/284, 155/514 is
GCF of Numerators i.e. for 383,155 is 1
LCM of denominators i.e. for 284,514 is 72988.
Thus, GCF of Fractions is 1/72988.Finally, GCF of Fractions for 383/284, 155/514 is 1/72988.