Use our free GCF of Fractions Calculator tool to compute the GCF of 460/645, 668/792 i.e 4/170280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 460/645, 668/792.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 460/645,668/792
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 460/645,668/792, numerators are 460,668
Denominators are 645,792
The GCF of 460,668 is 4 .
LCM of 645,792 is 170280.
The greatest common factor of 460/645,668/792 = [GCF of 460,668]/[LCM of 645,792]= 4/170280
Therefore, the GCF of 460/645,668/792 is 4/170280.
To find the highest common factor of 460,668, we have to find the factors of both numbers and list the highest common factor.
The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
The factors of 668 are 1, 2, 4, 167, 334, 668
The HCF of 460,668 is 4.
Lets's calculate GCF of 460,668
2 | 460, 668 |
2 | 230, 334 |
115, 167 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 460
:1,2,4,5,10,20,23,46,92,115,230,460
Now, list down the factors of 668
:1,2,4,167,334,668
Greatest Common Factor
We found the factors 460,668 . The biggest common factor number is the GCF number.
So the greatest common factor 460,668 is 4.
Lets's calculate LCM of 645,792
3 | 645, 792 |
215, 264 |
∴ So the LCM of the given numbers is 3 x 215 x 264 = 170280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/170280
Therefore, the GCF of Fractions 460/645,668/792 is 4/170280
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 645,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,792) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(645,792) x common factors =3 x 1 = 3
LCM(645,792) = ( 645 × 792 ) / 3
LCM(645,792) = 510840 / 3
LCM(645,792) = 170280
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 460,668?
The HCF of 460,668 is 4
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 460/645, 668/792?
Answer: GCF of Numerators as per given numbers 460/645, 668/792 is
GCF of Numerators i.e. for 460,668 is 4
LCM of denominators i.e. for 645,792 is 170280.
Thus, GCF of Fractions is 4/170280.Finally, GCF of Fractions for 460/645, 668/792 is 4/170280.