Use our free GCF of Fractions Calculator tool to compute the GCF of 46/206, 12/961, 701/418 i.e 1/41374894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/206, 12/961, 701/418.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/206,12/961,701/418
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 46/206,12/961,701/418, numerators are 46,12,701
Denominators are 206,961,418
The GCF of 46,12,701 is 1 .
LCM of 206,961,418 is 41374894.
The greatest common factor of 46/206,12/961,701/418 = [GCF of 46,12,701]/[LCM of 206,961,418]= 1/41374894
Therefore, the GCF of 46/206,12/961,701/418 is 1/41374894.
To find the highest common factor of 46,12,701, we have to find the factors of both numbers and list the highest common factor.
The factors of 46 are 1, 2, 23, 46
The factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 701 are 1, 701
The HCF of 46,12,701 is 1.
Lets's calculate GCF of 46,12,701
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 12
:1,2,3,4,6,12
Now, list down the factors of 701
:1,701
Greatest Common Factor
We found the factors 46,12,701 . The biggest common factor number is the GCF number.
So the greatest common factor 46,12,701 is 1.
Lets's calculate LCM of 206,961,418
2 | 206, 961, 418 |
103, 961, 209 |
∴ So the LCM of the given numbers is 2 x 103 x 961 x 209 = 41374894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41374894
Therefore, the GCF of Fractions 46/206,12/961,701/418 is 1/41374894
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 206,961,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,961,418) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(206,961,418) x common factors =1 x 2 = 2
LCM(206,961,418) = ( 206 × 961 × 418 ) / 2
LCM(206,961,418) = 82749788 / 2
LCM(206,961,418) = 41374894
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 46,12,701?
The HCF of 46,12,701 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 46/206, 12/961, 701/418?
Answer: GCF of Numerators as per given numbers 46/206, 12/961, 701/418 is
GCF of Numerators i.e. for 46,12,701 is 1
LCM of denominators i.e. for 206,961,418 is 41374894.
Thus, GCF of Fractions is 1/41374894.Finally, GCF of Fractions for 46/206, 12/961, 701/418 is 1/41374894.