Use our free GCF of Fractions Calculator tool to compute the GCF of 664/174, 173/154 i.e 1/13398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 664/174, 173/154.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 664/174,173/154
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 664/174,173/154, numerators are 664,173
Denominators are 174,154
The GCF of 664,173 is 1 .
LCM of 174,154 is 13398.
The greatest common factor of 664/174,173/154 = [GCF of 664,173]/[LCM of 174,154]= 1/13398
Therefore, the GCF of 664/174,173/154 is 1/13398.
To find the highest common factor of 664,173, we have to find the factors of both numbers and list the highest common factor.
The factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664
The factors of 173 are 1, 173
The HCF of 664,173 is 1.
Lets's calculate GCF of 664,173
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 664
:1,2,4,8,83,166,332,664
Now, list down the factors of 173
:1,173
Greatest Common Factor
We found the factors 664,173 . The biggest common factor number is the GCF number.
So the greatest common factor 664,173 is 1.
Lets's calculate LCM of 174,154
2 | 174, 154 |
87, 77 |
∴ So the LCM of the given numbers is 2 x 87 x 77 = 13398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13398
Therefore, the GCF of Fractions 664/174,173/154 is 1/13398
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 174,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,154) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,154) x common factors =2 x 1 = 2
LCM(174,154) = ( 174 × 154 ) / 2
LCM(174,154) = 26796 / 2
LCM(174,154) = 13398
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 664,173?
The HCF of 664,173 is 1
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 664/174, 173/154?
Answer: GCF of Numerators as per given numbers 664/174, 173/154 is
GCF of Numerators i.e. for 664,173 is 1
LCM of denominators i.e. for 174,154 is 13398.
Thus, GCF of Fractions is 1/13398.Finally, GCF of Fractions for 664/174, 173/154 is 1/13398.