Use our free GCF of Fractions Calculator tool to compute the GCF of 65/605, 518/209, 946/497 i.e 1/5713015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/605, 518/209, 946/497.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/605,518/209,946/497
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 65/605,518/209,946/497, numerators are 65,518,946
Denominators are 605,209,497
The GCF of 65,518,946 is 1 .
LCM of 605,209,497 is 5713015.
The greatest common factor of 65/605,518/209,946/497 = [GCF of 65,518,946]/[LCM of 605,209,497]= 1/5713015
Therefore, the GCF of 65/605,518/209,946/497 is 1/5713015.
To find the highest common factor of 65,518,946, we have to find the factors of both numbers and list the highest common factor.
The factors of 65 are 1, 5, 13, 65
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946
The HCF of 65,518,946 is 1.
Lets's calculate GCF of 65,518,946
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Now, list down the factors of 946
:1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 65,518,946 . The biggest common factor number is the GCF number.
So the greatest common factor 65,518,946 is 1.
Lets's calculate LCM of 605,209,497
11 | 605, 209, 497 |
55, 19, 497 |
∴ So the LCM of the given numbers is 11 x 55 x 19 x 497 = 5713015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5713015
Therefore, the GCF of Fractions 65/605,518/209,946/497 is 1/5713015
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 605,209,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,209,497) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(605,209,497) x common factors =1 x 11 = 11
LCM(605,209,497) = ( 605 × 209 × 497 ) / 11
LCM(605,209,497) = 62843165 / 11
LCM(605,209,497) = 5713015
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 65,518,946?
The HCF of 65,518,946 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 65/605, 518/209, 946/497?
Answer: GCF of Numerators as per given numbers 65/605, 518/209, 946/497 is
GCF of Numerators i.e. for 65,518,946 is 1
LCM of denominators i.e. for 605,209,497 is 5713015.
Thus, GCF of Fractions is 1/5713015.Finally, GCF of Fractions for 65/605, 518/209, 946/497 is 1/5713015.