Use our free GCF of Fractions Calculator tool to compute the GCF of 682/982, 428/488 i.e 2/239608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 682/982, 428/488.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 682/982,428/488
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 682/982,428/488, numerators are 682,428
Denominators are 982,488
The GCF of 682,428 is 2 .
LCM of 982,488 is 239608.
The greatest common factor of 682/982,428/488 = [GCF of 682,428]/[LCM of 982,488]= 2/239608
Therefore, the GCF of 682/982,428/488 is 2/239608.
To find the highest common factor of 682,428, we have to find the factors of both numbers and list the highest common factor.
The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682
The factors of 428 are 1, 2, 4, 107, 214, 428
The HCF of 682,428 is 2.
Lets's calculate GCF of 682,428
2 | 682, 428 |
341, 214 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 682
:1,2,11,22,31,62,341,682
Now, list down the factors of 428
:1,2,4,107,214,428
Greatest Common Factor
We found the factors 682,428 . The biggest common factor number is the GCF number.
So the greatest common factor 682,428 is 2.
Lets's calculate LCM of 982,488
2 | 982, 488 |
491, 244 |
∴ So the LCM of the given numbers is 2 x 491 x 244 = 239608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/239608
Therefore, the GCF of Fractions 682/982,428/488 is 2/239608
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 982,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,488) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,488) x common factors =2 x 1 = 2
LCM(982,488) = ( 982 × 488 ) / 2
LCM(982,488) = 479216 / 2
LCM(982,488) = 239608
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 682,428?
The HCF of 682,428 is 2
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 682/982, 428/488?
Answer: GCF of Numerators as per given numbers 682/982, 428/488 is
GCF of Numerators i.e. for 682,428 is 2
LCM of denominators i.e. for 982,488 is 239608.
Thus, GCF of Fractions is 2/239608.Finally, GCF of Fractions for 682/982, 428/488 is 2/239608.