Use our free GCF of Fractions Calculator tool to compute the GCF of 368/560, 232/269 i.e 8/150640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 368/560, 232/269.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 368/560,232/269
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 368/560,232/269, numerators are 368,232
Denominators are 560,269
The GCF of 368,232 is 8 .
LCM of 560,269 is 150640.
The greatest common factor of 368/560,232/269 = [GCF of 368,232]/[LCM of 560,269]= 8/150640
Therefore, the GCF of 368/560,232/269 is 8/150640.
To find the highest common factor of 368,232, we have to find the factors of both numbers and list the highest common factor.
The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
The factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232
The HCF of 368,232 is 8.
Lets's calculate GCF of 368,232
2 | 368, 232 |
2 | 184, 116 |
2 | 92, 58 |
46, 29 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 368
:1,2,4,8,16,23,46,92,184,368
Now, list down the factors of 232
:1,2,4,8,29,58,116,232
Greatest Common Factor
We found the factors 368,232 . The biggest common factor number is the GCF number.
So the greatest common factor 368,232 is 8.
Lets's calculate LCM of 560,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 150640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/150640
Therefore, the GCF of Fractions 368/560,232/269 is 8/150640
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 560,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(560,269) x common factors =1 x 1 = 1
LCM(560,269) = ( 560 × 269 ) / 1
LCM(560,269) = 150640 / 1
LCM(560,269) = 150640
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 368,232?
The HCF of 368,232 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 368/560, 232/269?
Answer: GCF of Numerators as per given numbers 368/560, 232/269 is
GCF of Numerators i.e. for 368,232 is 8
LCM of denominators i.e. for 560,269 is 150640.
Thus, GCF of Fractions is 8/150640.Finally, GCF of Fractions for 368/560, 232/269 is 8/150640.