GCF of 4590/440, 1221/2464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4590/440, 1221/2464 i.e 3/12320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4590/440, 1221/2464.
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 4590/440,1221/2464?
Given fractions are 4590/440,1221/2464
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 4590/440,1221/2464, numerators are 4590,1221
Denominators are 440,2464
The GCF of 4590,1221 is 3 .
LCM of 440,2464 is 12320.
The greatest common factor of 4590/440,1221/2464 = [GCF of 4590,1221]/[LCM of 440,2464]= 3/12320
Therefore, the GCF of 4590/440,1221/2464 is 3/12320.
To find the highest common factor of 4590,1221, we have to find the factors of both numbers and list the highest common factor.
The factors of 4590 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295, 4590
The factors of 1221 are 1, 3, 11, 33, 37, 111, 407, 1221
The HCF of 4590,1221 is 3.
Lets's calculate GCF of 4590,1221
| 3 | 4590, 1221 |
| 1530, 407 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4590,1221 By Matching Biggest Common Factor Method
Now, list down the factors of 4590
:1,2,3,5,6,9,10,15,17,18,27,30,34,45,51,54,85,90,102,135,153,170,255,270,306,459,510,765,918,1530,2295,4590
Now, list down the factors of 1221
:1,3,11,33,37,111,407,1221
Greatest Common Factor
We found the factors 4590,1221 . The biggest common factor number is the GCF number.
So the greatest common factor 4590,1221 is 3.
Lets's calculate LCM of 440,2464
| 2 | 440, 2464 |
| 2 | 220, 1232 |
| 2 | 110, 616 |
| 11 | 55, 308 |
| 5, 28 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 5 x 28 = 12320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12320
Therefore, the GCF of Fractions 4590/440,1221/2464 is 3/12320
Least Common Multiple of 440,2464 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 440,2464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,2464) = 88
common factors(in case of two or more numbers have common factors) = 1
GCF(440,2464) x common factors =88 x 1 = 88
LCM(440,2464) = ( 440 × 2464 ) / 88
LCM(440,2464) = 1084160 / 88
LCM(440,2464) = 12320
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FAQs on GCF of Fractions of 4590/440, 1221/2464
1. What is the HCF of 4590,1221?
The HCF of 4590,1221 is 3
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 4590/440, 1221/2464?
Answer: GCF of Numerators as per given numbers 4590/440, 1221/2464 is
GCF of Numerators i.e. for 4590,1221 is 3
LCM of denominators i.e. for 440,2464 is 12320.
Thus, GCF of Fractions is 3/12320.Finally, GCF of Fractions for 4590/440, 1221/2464 is 3/12320.