Use our free GCF of Fractions Calculator tool to compute the GCF of 464/996, 142/685 i.e 2/682260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 464/996, 142/685.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 464/996,142/685
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 464/996,142/685, numerators are 464,142
Denominators are 996,685
The GCF of 464,142 is 2 .
LCM of 996,685 is 682260.
The greatest common factor of 464/996,142/685 = [GCF of 464,142]/[LCM of 996,685]= 2/682260
Therefore, the GCF of 464/996,142/685 is 2/682260.
To find the highest common factor of 464,142, we have to find the factors of both numbers and list the highest common factor.
The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
The factors of 142 are 1, 2, 71, 142
The HCF of 464,142 is 2.
Lets's calculate GCF of 464,142
2 | 464, 142 |
232, 71 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 464
:1,2,4,8,16,29,58,116,232,464
Now, list down the factors of 142
:1,2,71,142
Greatest Common Factor
We found the factors 464,142 . The biggest common factor number is the GCF number.
So the greatest common factor 464,142 is 2.
Lets's calculate LCM of 996,685
Given numbers has no common factors except 1. So, there LCM is their product i.e 682260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/682260
Therefore, the GCF of Fractions 464/996,142/685 is 2/682260
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 996,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(996,685) x common factors =1 x 1 = 1
LCM(996,685) = ( 996 × 685 ) / 1
LCM(996,685) = 682260 / 1
LCM(996,685) = 682260
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 464,142?
The HCF of 464,142 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 464/996, 142/685?
Answer: GCF of Numerators as per given numbers 464/996, 142/685 is
GCF of Numerators i.e. for 464,142 is 2
LCM of denominators i.e. for 996,685 is 682260.
Thus, GCF of Fractions is 2/682260.Finally, GCF of Fractions for 464/996, 142/685 is 2/682260.