Use our free GCF of Fractions Calculator tool to compute the GCF of 434/873, 162/671 i.e 2/585783 easily. The following is the detailed procedure to determine the greatest common factor of fractions 434/873, 162/671.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 434/873,162/671
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 434/873,162/671, numerators are 434,162
Denominators are 873,671
The GCF of 434,162 is 2 .
LCM of 873,671 is 585783.
The greatest common factor of 434/873,162/671 = [GCF of 434,162]/[LCM of 873,671]= 2/585783
Therefore, the GCF of 434/873,162/671 is 2/585783.
To find the highest common factor of 434,162, we have to find the factors of both numbers and list the highest common factor.
The factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434
The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
The HCF of 434,162 is 2.
Lets's calculate GCF of 434,162
2 | 434, 162 |
217, 81 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 434
:1,2,7,14,31,62,217,434
Now, list down the factors of 162
:1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 434,162 . The biggest common factor number is the GCF number.
So the greatest common factor 434,162 is 2.
Lets's calculate LCM of 873,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 585783
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/585783
Therefore, the GCF of Fractions 434/873,162/671 is 2/585783
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 873,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,671) x common factors =1 x 1 = 1
LCM(873,671) = ( 873 × 671 ) / 1
LCM(873,671) = 585783 / 1
LCM(873,671) = 585783
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 434,162?
The HCF of 434,162 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 434/873, 162/671?
Answer: GCF of Numerators as per given numbers 434/873, 162/671 is
GCF of Numerators i.e. for 434,162 is 2
LCM of denominators i.e. for 873,671 is 585783.
Thus, GCF of Fractions is 2/585783.Finally, GCF of Fractions for 434/873, 162/671 is 2/585783.