GCF of 146/87, 590/144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 146/87, 590/144 i.e 2/4176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 146/87, 590/144.
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 146/87,590/144?
Given fractions are 146/87,590/144
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 146/87,590/144, numerators are 146,590
Denominators are 87,144
The GCF of 146,590 is 2 .
LCM of 87,144 is 4176.
The greatest common factor of 146/87,590/144 = [GCF of 146,590]/[LCM of 87,144]= 2/4176
Therefore, the GCF of 146/87,590/144 is 2/4176.
To find the highest common factor of 146,590, we have to find the factors of both numbers and list the highest common factor.
The factors of 146 are 1, 2, 73, 146
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590
The HCF of 146,590 is 2.
Lets's calculate GCF of 146,590
| 2 | 146, 590 |
| 73, 295 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 146,590 By Matching Biggest Common Factor Method
Now, list down the factors of 146
:1,2,73,146
Now, list down the factors of 590
:1,2,5,10,59,118,295,590
Greatest Common Factor
We found the factors 146,590 . The biggest common factor number is the GCF number.
So the greatest common factor 146,590 is 2.
Lets's calculate LCM of 87,144
| 3 | 87, 144 |
| 29, 48 |
∴ So the LCM of the given numbers is 3 x 29 x 48 = 4176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4176
Therefore, the GCF of Fractions 146/87,590/144 is 2/4176
Least Common Multiple of 87,144 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 87,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,144) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(87,144) x common factors =3 x 1 = 3
LCM(87,144) = ( 87 × 144 ) / 3
LCM(87,144) = 12528 / 3
LCM(87,144) = 4176
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FAQs on GCF of Fractions of 146/87, 590/144
1. What is the HCF of 146,590?
The HCF of 146,590 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 146/87, 590/144?
Answer: GCF of Numerators as per given numbers 146/87, 590/144 is
GCF of Numerators i.e. for 146,590 is 2
LCM of denominators i.e. for 87,144 is 4176.
Thus, GCF of Fractions is 2/4176.Finally, GCF of Fractions for 146/87, 590/144 is 2/4176.