Use our free GCF of Fractions Calculator tool to compute the GCF of 466/234, 828/646 i.e 2/75582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 466/234, 828/646.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 466/234,828/646
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 466/234,828/646, numerators are 466,828
Denominators are 234,646
The GCF of 466,828 is 2 .
LCM of 234,646 is 75582.
The greatest common factor of 466/234,828/646 = [GCF of 466,828]/[LCM of 234,646]= 2/75582
Therefore, the GCF of 466/234,828/646 is 2/75582.
To find the highest common factor of 466,828, we have to find the factors of both numbers and list the highest common factor.
The factors of 466 are 1, 2, 233, 466
The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
The HCF of 466,828 is 2.
Lets's calculate GCF of 466,828
2 | 466, 828 |
233, 414 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 466
:1,2,233,466
Now, list down the factors of 828
:1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 466,828 . The biggest common factor number is the GCF number.
So the greatest common factor 466,828 is 2.
Lets's calculate LCM of 234,646
2 | 234, 646 |
117, 323 |
∴ So the LCM of the given numbers is 2 x 117 x 323 = 75582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75582
Therefore, the GCF of Fractions 466/234,828/646 is 2/75582
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 234,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(234,646) x common factors =2 x 1 = 2
LCM(234,646) = ( 234 × 646 ) / 2
LCM(234,646) = 151164 / 2
LCM(234,646) = 75582
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 466,828?
The HCF of 466,828 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 466/234, 828/646?
Answer: GCF of Numerators as per given numbers 466/234, 828/646 is
GCF of Numerators i.e. for 466,828 is 2
LCM of denominators i.e. for 234,646 is 75582.
Thus, GCF of Fractions is 2/75582.Finally, GCF of Fractions for 466/234, 828/646 is 2/75582.