Use our free GCF of Fractions Calculator tool to compute the GCF of 168/105, 377/160 i.e 1/3360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 168/105, 377/160.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 168/105,377/160
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 168/105,377/160, numerators are 168,377
Denominators are 105,160
The GCF of 168,377 is 1 .
LCM of 105,160 is 3360.
The greatest common factor of 168/105,377/160 = [GCF of 168,377]/[LCM of 105,160]= 1/3360
Therefore, the GCF of 168/105,377/160 is 1/3360.
To find the highest common factor of 168,377, we have to find the factors of both numbers and list the highest common factor.
The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The factors of 377 are 1, 13, 29, 377
The HCF of 168,377 is 1.
Lets's calculate GCF of 168,377
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 168
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Now, list down the factors of 377
:1,13,29,377
Greatest Common Factor
We found the factors 168,377 . The biggest common factor number is the GCF number.
So the greatest common factor 168,377 is 1.
Lets's calculate LCM of 105,160
5 | 105, 160 |
21, 32 |
∴ So the LCM of the given numbers is 5 x 21 x 32 = 3360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3360
Therefore, the GCF of Fractions 168/105,377/160 is 1/3360
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 105,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,160) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(105,160) x common factors =5 x 1 = 5
LCM(105,160) = ( 105 × 160 ) / 5
LCM(105,160) = 16800 / 5
LCM(105,160) = 3360
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 168,377?
The HCF of 168,377 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 168/105, 377/160?
Answer: GCF of Numerators as per given numbers 168/105, 377/160 is
GCF of Numerators i.e. for 168,377 is 1
LCM of denominators i.e. for 105,160 is 3360.
Thus, GCF of Fractions is 1/3360.Finally, GCF of Fractions for 168/105, 377/160 is 1/3360.