Use our free GCF of Fractions Calculator tool to compute the GCF of 706/442, 682/701 i.e 2/309842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 706/442, 682/701.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 706/442,682/701
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 706/442,682/701, numerators are 706,682
Denominators are 442,701
The GCF of 706,682 is 2 .
LCM of 442,701 is 309842.
The greatest common factor of 706/442,682/701 = [GCF of 706,682]/[LCM of 442,701]= 2/309842
Therefore, the GCF of 706/442,682/701 is 2/309842.
To find the highest common factor of 706,682, we have to find the factors of both numbers and list the highest common factor.
The factors of 706 are 1, 2, 353, 706
The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682
The HCF of 706,682 is 2.
Lets's calculate GCF of 706,682
2 | 706, 682 |
353, 341 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 706
:1,2,353,706
Now, list down the factors of 682
:1,2,11,22,31,62,341,682
Greatest Common Factor
We found the factors 706,682 . The biggest common factor number is the GCF number.
So the greatest common factor 706,682 is 2.
Lets's calculate LCM of 442,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 309842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/309842
Therefore, the GCF of Fractions 706/442,682/701 is 2/309842
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 442,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(442,701) x common factors =1 x 1 = 1
LCM(442,701) = ( 442 × 701 ) / 1
LCM(442,701) = 309842 / 1
LCM(442,701) = 309842
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 706,682?
The HCF of 706,682 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 706/442, 682/701?
Answer: GCF of Numerators as per given numbers 706/442, 682/701 is
GCF of Numerators i.e. for 706,682 is 2
LCM of denominators i.e. for 442,701 is 309842.
Thus, GCF of Fractions is 2/309842.Finally, GCF of Fractions for 706/442, 682/701 is 2/309842.