Use our free GCF of Fractions Calculator tool to compute the GCF of 69/606, 3350/2410 i.e 1/730230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/606, 3350/2410.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/606,3350/2410
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 69/606,3350/2410, numerators are 69,3350
Denominators are 606,2410
The GCF of 69,3350 is 1 .
LCM of 606,2410 is 730230.
The greatest common factor of 69/606,3350/2410 = [GCF of 69,3350]/[LCM of 606,2410]= 1/730230
Therefore, the GCF of 69/606,3350/2410 is 1/730230.
To find the highest common factor of 69,3350, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 3350 are 1, 2, 5, 10, 25, 50, 67, 134, 335, 670, 1675, 3350
The HCF of 69,3350 is 1.
Lets's calculate GCF of 69,3350
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 3350
:1,2,5,10,25,50,67,134,335,670,1675,3350
Greatest Common Factor
We found the factors 69,3350 . The biggest common factor number is the GCF number.
So the greatest common factor 69,3350 is 1.
Lets's calculate LCM of 606,2410
2 | 606, 2410 |
303, 1205 |
∴ So the LCM of the given numbers is 2 x 303 x 1205 = 730230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/730230
Therefore, the GCF of Fractions 69/606,3350/2410 is 1/730230
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 606,2410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,2410) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(606,2410) x common factors =2 x 1 = 2
LCM(606,2410) = ( 606 × 2410 ) / 2
LCM(606,2410) = 1460460 / 2
LCM(606,2410) = 730230
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,3350?
The HCF of 69,3350 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 69/606, 3350/2410?
Answer: GCF of Numerators as per given numbers 69/606, 3350/2410 is
GCF of Numerators i.e. for 69,3350 is 1
LCM of denominators i.e. for 606,2410 is 730230.
Thus, GCF of Fractions is 1/730230.Finally, GCF of Fractions for 69/606, 3350/2410 is 1/730230.