GCF of 388/72, 598/249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 388/72, 598/249 i.e 2/5976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 388/72, 598/249.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 388/72,598/249?
Given fractions are 388/72,598/249
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 388/72,598/249, numerators are 388,598
Denominators are 72,249
The GCF of 388,598 is 2 .
LCM of 72,249 is 5976.
The greatest common factor of 388/72,598/249 = [GCF of 388,598]/[LCM of 72,249]= 2/5976
Therefore, the GCF of 388/72,598/249 is 2/5976.
To find the highest common factor of 388,598, we have to find the factors of both numbers and list the highest common factor.
The factors of 388 are 1, 2, 4, 97, 194, 388
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The HCF of 388,598 is 2.
Lets's calculate GCF of 388,598
| 2 | 388, 598 |
| 194, 299 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 388,598 By Matching Biggest Common Factor Method
Now, list down the factors of 388
:1,2,4,97,194,388
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 388,598 . The biggest common factor number is the GCF number.
So the greatest common factor 388,598 is 2.
Lets's calculate LCM of 72,249
| 3 | 72, 249 |
| 24, 83 |
∴ So the LCM of the given numbers is 3 x 24 x 83 = 5976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5976
Therefore, the GCF of Fractions 388/72,598/249 is 2/5976
Least Common Multiple of 72,249 with GCF Formula
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 72,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,249) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(72,249) x common factors =3 x 1 = 3
LCM(72,249) = ( 72 × 249 ) / 3
LCM(72,249) = 17928 / 3
LCM(72,249) = 5976
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FAQs on GCF of Fractions of 388/72, 598/249
1. What is the HCF of 388,598?
The HCF of 388,598 is 2
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 388/72, 598/249?
Answer: GCF of Numerators as per given numbers 388/72, 598/249 is
GCF of Numerators i.e. for 388,598 is 2
LCM of denominators i.e. for 72,249 is 5976.
Thus, GCF of Fractions is 2/5976.Finally, GCF of Fractions for 388/72, 598/249 is 2/5976.