Use our free GCF of Fractions Calculator tool to compute the GCF of 168/88, 652/1744 i.e 4/19184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 168/88, 652/1744.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 168/88,652/1744
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 168/88,652/1744, numerators are 168,652
Denominators are 88,1744
The GCF of 168,652 is 4 .
LCM of 88,1744 is 19184.
The greatest common factor of 168/88,652/1744 = [GCF of 168,652]/[LCM of 88,1744]= 4/19184
Therefore, the GCF of 168/88,652/1744 is 4/19184.
To find the highest common factor of 168,652, 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 652 are 1, 2, 4, 163, 326, 652
The HCF of 168,652 is 4.
Lets's calculate GCF of 168,652
2 | 168, 652 |
2 | 84, 326 |
42, 163 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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 652
:1,2,4,163,326,652
Greatest Common Factor
We found the factors 168,652 . The biggest common factor number is the GCF number.
So the greatest common factor 168,652 is 4.
Lets's calculate LCM of 88,1744
2 | 88, 1744 |
2 | 44, 872 |
2 | 22, 436 |
11, 218 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 218 = 19184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/19184
Therefore, the GCF of Fractions 168/88,652/1744 is 4/19184
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 88,1744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,1744) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(88,1744) x common factors =8 x 1 = 8
LCM(88,1744) = ( 88 × 1744 ) / 8
LCM(88,1744) = 153472 / 8
LCM(88,1744) = 19184
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 168,652?
The HCF of 168,652 is 4
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 168/88, 652/1744?
Answer: GCF of Numerators as per given numbers 168/88, 652/1744 is
GCF of Numerators i.e. for 168,652 is 4
LCM of denominators i.e. for 88,1744 is 19184.
Thus, GCF of Fractions is 4/19184.Finally, GCF of Fractions for 168/88, 652/1744 is 4/19184.