Use our free GCF of Fractions Calculator tool to compute the GCF of 74/359, 206/716, 464/228 i.e 2/14651508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 74/359, 206/716, 464/228.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 74/359,206/716,464/228
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 74/359,206/716,464/228, numerators are 74,206,464
Denominators are 359,716,228
The GCF of 74,206,464 is 2 .
LCM of 359,716,228 is 14651508.
The greatest common factor of 74/359,206/716,464/228 = [GCF of 74,206,464]/[LCM of 359,716,228]= 2/14651508
Therefore, the GCF of 74/359,206/716,464/228 is 2/14651508.
To find the highest common factor of 74,206,464, we have to find the factors of both numbers and list the highest common factor.
The factors of 74 are 1, 2, 37, 74
The factors of 206 are 1, 2, 103, 206
The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
The HCF of 74,206,464 is 2.
Lets's calculate GCF of 74,206,464
2 | 74, 206, 464 |
37, 103, 232 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 74
:1,2,37,74
Now, list down the factors of 206
:1,2,103,206
Now, list down the factors of 464
:1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 74,206,464 . The biggest common factor number is the GCF number.
So the greatest common factor 74,206,464 is 2.
Lets's calculate LCM of 359,716,228
2 | 359, 716, 228 |
2 | 359, 358, 114 |
359, 179, 57 |
∴ So the LCM of the given numbers is 2 x 2 x 359 x 179 x 57 = 14651508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14651508
Therefore, the GCF of Fractions 74/359,206/716,464/228 is 2/14651508
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 359,716,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,716,228) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(359,716,228) x common factors =1 x 4 = 4
LCM(359,716,228) = ( 359 × 716 × 228 ) / 4
LCM(359,716,228) = 58606032 / 4
LCM(359,716,228) = 14651508
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 74,206,464?
The HCF of 74,206,464 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 74/359, 206/716, 464/228?
Answer: GCF of Numerators as per given numbers 74/359, 206/716, 464/228 is
GCF of Numerators i.e. for 74,206,464 is 2
LCM of denominators i.e. for 359,716,228 is 14651508.
Thus, GCF of Fractions is 2/14651508.Finally, GCF of Fractions for 74/359, 206/716, 464/228 is 2/14651508.