Use our free GCF of Fractions Calculator tool to compute the GCF of 364/160, 247/233 i.e 13/37280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 364/160, 247/233.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 364/160,247/233
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 364/160,247/233, numerators are 364,247
Denominators are 160,233
The GCF of 364,247 is 13 .
LCM of 160,233 is 37280.
The greatest common factor of 364/160,247/233 = [GCF of 364,247]/[LCM of 160,233]= 13/37280
Therefore, the GCF of 364/160,247/233 is 13/37280.
To find the highest common factor of 364,247, we have to find the factors of both numbers and list the highest common factor.
The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
The factors of 247 are 1, 13, 19, 247
The HCF of 364,247 is 13.
Lets's calculate GCF of 364,247
13 | 364, 247 |
28, 19 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 364
:1,2,4,7,13,14,26,28,52,91,182,364
Now, list down the factors of 247
:1,13,19,247
Greatest Common Factor
We found the factors 364,247 . The biggest common factor number is the GCF number.
So the greatest common factor 364,247 is 13.
Lets's calculate LCM of 160,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 37280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/37280
Therefore, the GCF of Fractions 364/160,247/233 is 13/37280
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 160,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(160,233) x common factors =1 x 1 = 1
LCM(160,233) = ( 160 × 233 ) / 1
LCM(160,233) = 37280 / 1
LCM(160,233) = 37280
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 364,247?
The HCF of 364,247 is 13
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 364/160, 247/233?
Answer: GCF of Numerators as per given numbers 364/160, 247/233 is
GCF of Numerators i.e. for 364,247 is 13
LCM of denominators i.e. for 160,233 is 37280.
Thus, GCF of Fractions is 13/37280.Finally, GCF of Fractions for 364/160, 247/233 is 13/37280.