Use our free GCF of Fractions Calculator tool to compute the GCF of 726/428, 239/628 i.e 1/67196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 726/428, 239/628.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 726/428,239/628
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 726/428,239/628, numerators are 726,239
Denominators are 428,628
The GCF of 726,239 is 1 .
LCM of 428,628 is 67196.
The greatest common factor of 726/428,239/628 = [GCF of 726,239]/[LCM of 428,628]= 1/67196
Therefore, the GCF of 726/428,239/628 is 1/67196.
To find the highest common factor of 726,239, we have to find the factors of both numbers and list the highest common factor.
The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
The factors of 239 are 1, 239
The HCF of 726,239 is 1.
Lets's calculate GCF of 726,239
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 726
:1,2,3,6,11,22,33,66,121,242,363,726
Now, list down the factors of 239
:1,239
Greatest Common Factor
We found the factors 726,239 . The biggest common factor number is the GCF number.
So the greatest common factor 726,239 is 1.
Lets's calculate LCM of 428,628
2 | 428, 628 |
2 | 214, 314 |
107, 157 |
∴ So the LCM of the given numbers is 2 x 2 x 107 x 157 = 67196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67196
Therefore, the GCF of Fractions 726/428,239/628 is 1/67196
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 428,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,628) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(428,628) x common factors =4 x 1 = 4
LCM(428,628) = ( 428 × 628 ) / 4
LCM(428,628) = 268784 / 4
LCM(428,628) = 67196
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 726,239?
The HCF of 726,239 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 726/428, 239/628?
Answer: GCF of Numerators as per given numbers 726/428, 239/628 is
GCF of Numerators i.e. for 726,239 is 1
LCM of denominators i.e. for 428,628 is 67196.
Thus, GCF of Fractions is 1/67196.Finally, GCF of Fractions for 726/428, 239/628 is 1/67196.