Use our free GCF of Fractions Calculator tool to compute the GCF of 583/336, 726/430 i.e 11/72240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 583/336, 726/430.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 583/336,726/430
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 583/336,726/430, numerators are 583,726
Denominators are 336,430
The GCF of 583,726 is 11 .
LCM of 336,430 is 72240.
The greatest common factor of 583/336,726/430 = [GCF of 583,726]/[LCM of 336,430]= 11/72240
Therefore, the GCF of 583/336,726/430 is 11/72240.
To find the highest common factor of 583,726, 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 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
The HCF of 583,726 is 11.
Lets's calculate GCF of 583,726
11 | 583, 726 |
53, 66 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 583
:1,11,53,583
Now, list down the factors of 726
:1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 583,726 . The biggest common factor number is the GCF number.
So the greatest common factor 583,726 is 11.
Lets's calculate LCM of 336,430
2 | 336, 430 |
168, 215 |
∴ So the LCM of the given numbers is 2 x 168 x 215 = 72240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/72240
Therefore, the GCF of Fractions 583/336,726/430 is 11/72240
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 336,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,430) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(336,430) x common factors =2 x 1 = 2
LCM(336,430) = ( 336 × 430 ) / 2
LCM(336,430) = 144480 / 2
LCM(336,430) = 72240
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 583,726?
The HCF of 583,726 is 11
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 583/336, 726/430?
Answer: GCF of Numerators as per given numbers 583/336, 726/430 is
GCF of Numerators i.e. for 583,726 is 11
LCM of denominators i.e. for 336,430 is 72240.
Thus, GCF of Fractions is 11/72240.Finally, GCF of Fractions for 583/336, 726/430 is 11/72240.