Use our free GCF of Fractions Calculator tool to compute the GCF of 8182/606, 9658/7240 i.e 2/2193720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8182/606, 9658/7240.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8182/606,9658/7240
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 8182/606,9658/7240, numerators are 8182,9658
Denominators are 606,7240
The GCF of 8182,9658 is 2 .
LCM of 606,7240 is 2193720.
The greatest common factor of 8182/606,9658/7240 = [GCF of 8182,9658]/[LCM of 606,7240]= 2/2193720
Therefore, the GCF of 8182/606,9658/7240 is 2/2193720.
To find the highest common factor of 8182,9658, we have to find the factors of both numbers and list the highest common factor.
The factors of 8182 are 1, 2, 4091, 8182
The factors of 9658 are 1, 2, 11, 22, 439, 878, 4829, 9658
The HCF of 8182,9658 is 2.
Lets's calculate GCF of 8182,9658
2 | 8182, 9658 |
4091, 4829 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 8182
:1,2,4091,8182
Now, list down the factors of 9658
:1,2,11,22,439,878,4829,9658
Greatest Common Factor
We found the factors 8182,9658 . The biggest common factor number is the GCF number.
So the greatest common factor 8182,9658 is 2.
Lets's calculate LCM of 606,7240
2 | 606, 7240 |
303, 3620 |
∴ So the LCM of the given numbers is 2 x 303 x 3620 = 2193720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2193720
Therefore, the GCF of Fractions 8182/606,9658/7240 is 2/2193720
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 606,7240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,7240) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(606,7240) x common factors =2 x 1 = 2
LCM(606,7240) = ( 606 × 7240 ) / 2
LCM(606,7240) = 4387440 / 2
LCM(606,7240) = 2193720
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8182,9658?
The HCF of 8182,9658 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 8182/606, 9658/7240?
Answer: GCF of Numerators as per given numbers 8182/606, 9658/7240 is
GCF of Numerators i.e. for 8182,9658 is 2
LCM of denominators i.e. for 606,7240 is 2193720.
Thus, GCF of Fractions is 2/2193720.Finally, GCF of Fractions for 8182/606, 9658/7240 is 2/2193720.