GCF of 6600/822, 8493/7458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6600/822, 8493/7458 i.e 3/1021746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6600/822, 8493/7458.
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 6600/822,8493/7458?
Given fractions are 6600/822,8493/7458
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 6600/822,8493/7458, numerators are 6600,8493
Denominators are 822,7458
The GCF of 6600,8493 is 3 .
LCM of 822,7458 is 1021746.
The greatest common factor of 6600/822,8493/7458 = [GCF of 6600,8493]/[LCM of 822,7458]= 3/1021746
Therefore, the GCF of 6600/822,8493/7458 is 3/1021746.
To find the highest common factor of 6600,8493, 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 8493 are 1, 3, 19, 57, 149, 447, 2831, 8493
The HCF of 6600,8493 is 3.
Lets's calculate GCF of 6600,8493
| 3 | 6600, 8493 |
| 2200, 2831 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6600,8493 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 8493
:1,3,19,57,149,447,2831,8493
Greatest Common Factor
We found the factors 6600,8493 . The biggest common factor number is the GCF number.
So the greatest common factor 6600,8493 is 3.
Lets's calculate LCM of 822,7458
| 2 | 822, 7458 |
| 3 | 411, 3729 |
| 137, 1243 |
∴ So the LCM of the given numbers is 2 x 3 x 137 x 1243 = 1021746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1021746
Therefore, the GCF of Fractions 6600/822,8493/7458 is 3/1021746
Least Common Multiple of 822,7458 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 822,7458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,7458) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(822,7458) x common factors =6 x 1 = 6
LCM(822,7458) = ( 822 × 7458 ) / 6
LCM(822,7458) = 6130476 / 6
LCM(822,7458) = 1021746
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6600/822, 8493/7458
1. What is the HCF of 6600,8493?
The HCF of 6600,8493 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 6600/822, 8493/7458?
Answer: GCF of Numerators as per given numbers 6600/822, 8493/7458 is
GCF of Numerators i.e. for 6600,8493 is 3
LCM of denominators i.e. for 822,7458 is 1021746.
Thus, GCF of Fractions is 3/1021746.Finally, GCF of Fractions for 6600/822, 8493/7458 is 3/1021746.