Use our free GCF of Fractions Calculator tool to compute the GCF of 583/352, 698/544 i.e 1/5984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 583/352, 698/544.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 583/352,698/544
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 583/352,698/544, numerators are 583,698
Denominators are 352,544
The GCF of 583,698 is 1 .
LCM of 352,544 is 5984.
The greatest common factor of 583/352,698/544 = [GCF of 583,698]/[LCM of 352,544]= 1/5984
Therefore, the GCF of 583/352,698/544 is 1/5984.
To find the highest common factor of 583,698, we have to find the factors of both numbers and list the highest common factor.
The factors of 583 are 1, 11, 53, 583
The factors of 698 are 1, 2, 349, 698
The HCF of 583,698 is 1.
Lets's calculate GCF of 583,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 583
:1,11,53,583
Now, list down the factors of 698
:1,2,349,698
Greatest Common Factor
We found the factors 583,698 . The biggest common factor number is the GCF number.
So the greatest common factor 583,698 is 1.
Lets's calculate LCM of 352,544
2 | 352, 544 |
2 | 176, 272 |
2 | 88, 136 |
2 | 44, 68 |
2 | 22, 34 |
11, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 11 x 17 = 5984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5984
Therefore, the GCF of Fractions 583/352,698/544 is 1/5984
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 352,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,544) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(352,544) x common factors =32 x 1 = 32
LCM(352,544) = ( 352 × 544 ) / 32
LCM(352,544) = 191488 / 32
LCM(352,544) = 5984
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 583,698?
The HCF of 583,698 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 583/352, 698/544?
Answer: GCF of Numerators as per given numbers 583/352, 698/544 is
GCF of Numerators i.e. for 583,698 is 1
LCM of denominators i.e. for 352,544 is 5984.
Thus, GCF of Fractions is 1/5984.Finally, GCF of Fractions for 583/352, 698/544 is 1/5984.