GCF of 6600/592, 6618/9790
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6600/592, 6618/9790 i.e 6/2897840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6600/592, 6618/9790.
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 6600/592,6618/9790?
Given fractions are 6600/592,6618/9790
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 6600/592,6618/9790, numerators are 6600,6618
Denominators are 592,9790
The GCF of 6600,6618 is 6 .
LCM of 592,9790 is 2897840.
The greatest common factor of 6600/592,6618/9790 = [GCF of 6600,6618]/[LCM of 592,9790]= 6/2897840
Therefore, the GCF of 6600/592,6618/9790 is 6/2897840.
To find the highest common factor of 6600,6618, we have to find the factors of both numbers and list the highest common factor.
The factors of 6600 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, 6600
The factors of 6618 are 1, 2, 3, 6, 1103, 2206, 3309, 6618
The HCF of 6600,6618 is 6.
Lets's calculate GCF of 6600,6618
| 2 | 6600, 6618 |
| 3 | 3300, 3309 |
| 1100, 1103 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6600,6618 By Matching Biggest Common Factor Method
Now, list down the factors of 6600
:1,2,3,4,5,6,8,10,11,12,15,20,22,24,25,30,33,40,44,50,55,60,66,75,88,100,110,120,132,150,165,200,220,264,275,300,330,440,550,600,660,825,1100,1320,1650,2200,3300,6600
Now, list down the factors of 6618
:1,2,3,6,1103,2206,3309,6618
Greatest Common Factor
We found the factors 6600,6618 . The biggest common factor number is the GCF number.
So the greatest common factor 6600,6618 is 6.
Lets's calculate LCM of 592,9790
| 2 | 592, 9790 |
| 296, 4895 |
∴ So the LCM of the given numbers is 2 x 296 x 4895 = 2897840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2897840
Therefore, the GCF of Fractions 6600/592,6618/9790 is 6/2897840
Least Common Multiple of 592,9790 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 592,9790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,9790) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(592,9790) x common factors =2 x 1 = 2
LCM(592,9790) = ( 592 × 9790 ) / 2
LCM(592,9790) = 5795680 / 2
LCM(592,9790) = 2897840
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6600/592, 6618/9790
1. What is the HCF of 6600,6618?
The HCF of 6600,6618 is 6
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 6600/592, 6618/9790?
Answer: GCF of Numerators as per given numbers 6600/592, 6618/9790 is
GCF of Numerators i.e. for 6600,6618 is 6
LCM of denominators i.e. for 592,9790 is 2897840.
Thus, GCF of Fractions is 6/2897840.Finally, GCF of Fractions for 6600/592, 6618/9790 is 6/2897840.