GCF of 115/120, 590/297
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 115/120, 590/297 i.e 5/11880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 115/120, 590/297.
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 115/120,590/297?
Given fractions are 115/120,590/297
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 115/120,590/297, numerators are 115,590
Denominators are 120,297
The GCF of 115,590 is 5 .
LCM of 120,297 is 11880.
The greatest common factor of 115/120,590/297 = [GCF of 115,590]/[LCM of 120,297]= 5/11880
Therefore, the GCF of 115/120,590/297 is 5/11880.
To find the highest common factor of 115,590, we have to find the factors of both numbers and list the highest common factor.
The factors of 115 are 1, 5, 23, 115
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590
The HCF of 115,590 is 5.
Lets's calculate GCF of 115,590
| 5 | 115, 590 |
| 23, 118 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 115,590 By Matching Biggest Common Factor Method
Now, list down the factors of 115
:1,5,23,115
Now, list down the factors of 590
:1,2,5,10,59,118,295,590
Greatest Common Factor
We found the factors 115,590 . The biggest common factor number is the GCF number.
So the greatest common factor 115,590 is 5.
Lets's calculate LCM of 120,297
| 3 | 120, 297 |
| 40, 99 |
∴ So the LCM of the given numbers is 3 x 40 x 99 = 11880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/11880
Therefore, the GCF of Fractions 115/120,590/297 is 5/11880
Least Common Multiple of 120,297 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 120,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,297) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(120,297) x common factors =3 x 1 = 3
LCM(120,297) = ( 120 × 297 ) / 3
LCM(120,297) = 35640 / 3
LCM(120,297) = 11880
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FAQs on GCF of Fractions of 115/120, 590/297
1. What is the HCF of 115,590?
The HCF of 115,590 is 5
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 115/120, 590/297?
Answer: GCF of Numerators as per given numbers 115/120, 590/297 is
GCF of Numerators i.e. for 115,590 is 5
LCM of denominators i.e. for 120,297 is 11880.
Thus, GCF of Fractions is 5/11880.Finally, GCF of Fractions for 115/120, 590/297 is 5/11880.