GCF of 590/950, 4132/486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 590/950, 4132/486 i.e 2/230850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 590/950, 4132/486.
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 590/950,4132/486?
Given fractions are 590/950,4132/486
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 590/950,4132/486, numerators are 590,4132
Denominators are 950,486
The GCF of 590,4132 is 2 .
LCM of 950,486 is 230850.
The greatest common factor of 590/950,4132/486 = [GCF of 590,4132]/[LCM of 950,486]= 2/230850
Therefore, the GCF of 590/950,4132/486 is 2/230850.
To find the highest common factor of 590,4132, we have to find the factors of both numbers and list the highest common factor.
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590
The factors of 4132 are 1, 2, 4, 1033, 2066, 4132
The HCF of 590,4132 is 2.
Lets's calculate GCF of 590,4132
| 2 | 590, 4132 |
| 295, 2066 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 590,4132 By Matching Biggest Common Factor Method
Now, list down the factors of 590
:1,2,5,10,59,118,295,590
Now, list down the factors of 4132
:1,2,4,1033,2066,4132
Greatest Common Factor
We found the factors 590,4132 . The biggest common factor number is the GCF number.
So the greatest common factor 590,4132 is 2.
Lets's calculate LCM of 950,486
| 2 | 950, 486 |
| 475, 243 |
∴ So the LCM of the given numbers is 2 x 475 x 243 = 230850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/230850
Therefore, the GCF of Fractions 590/950,4132/486 is 2/230850
Least Common Multiple of 950,486 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 950,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,486) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(950,486) x common factors =2 x 1 = 2
LCM(950,486) = ( 950 × 486 ) / 2
LCM(950,486) = 461700 / 2
LCM(950,486) = 230850
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FAQs on GCF of Fractions of 590/950, 4132/486
1. What is the HCF of 590,4132?
The HCF of 590,4132 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 590/950, 4132/486?
Answer: GCF of Numerators as per given numbers 590/950, 4132/486 is
GCF of Numerators i.e. for 590,4132 is 2
LCM of denominators i.e. for 950,486 is 230850.
Thus, GCF of Fractions is 2/230850.Finally, GCF of Fractions for 590/950, 4132/486 is 2/230850.