Use our free GCF of Fractions Calculator tool to compute the GCF of 184/701, 168/349 i.e 8/244649 easily. The following is the detailed procedure to determine the greatest common factor of fractions 184/701, 168/349.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 184/701,168/349
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 184/701,168/349, numerators are 184,168
Denominators are 701,349
The GCF of 184,168 is 8 .
LCM of 701,349 is 244649.
The greatest common factor of 184/701,168/349 = [GCF of 184,168]/[LCM of 701,349]= 8/244649
Therefore, the GCF of 184/701,168/349 is 8/244649.
To find the highest common factor of 184,168, we have to find the factors of both numbers and list the highest common factor.
The factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184
The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The HCF of 184,168 is 8.
Lets's calculate GCF of 184,168
2 | 184, 168 |
2 | 92, 84 |
2 | 46, 42 |
23, 21 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 184
:1,2,4,8,23,46,92,184
Now, list down the factors of 168
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 184,168 . The biggest common factor number is the GCF number.
So the greatest common factor 184,168 is 8.
Lets's calculate LCM of 701,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 244649
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/244649
Therefore, the GCF of Fractions 184/701,168/349 is 8/244649
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 701,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,349) x common factors =1 x 1 = 1
LCM(701,349) = ( 701 × 349 ) / 1
LCM(701,349) = 244649 / 1
LCM(701,349) = 244649
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 184,168?
The HCF of 184,168 is 8
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 184/701, 168/349?
Answer: GCF of Numerators as per given numbers 184/701, 168/349 is
GCF of Numerators i.e. for 184,168 is 8
LCM of denominators i.e. for 701,349 is 244649.
Thus, GCF of Fractions is 8/244649.Finally, GCF of Fractions for 184/701, 168/349 is 8/244649.