GCF of 2700/677, 6600/6562
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2700/677, 6600/6562 i.e 300/4442474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2700/677, 6600/6562.
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 2700/677,6600/6562?
Given fractions are 2700/677,6600/6562
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 2700/677,6600/6562, numerators are 2700,6600
Denominators are 677,6562
The GCF of 2700,6600 is 300 .
LCM of 677,6562 is 4442474.
The greatest common factor of 2700/677,6600/6562 = [GCF of 2700,6600]/[LCM of 677,6562]= 300/4442474
Therefore, the GCF of 2700/677,6600/6562 is 300/4442474.
To find the highest common factor of 2700,6600, we have to find the factors of both numbers and list the highest common factor.
The factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700
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 HCF of 2700,6600 is 300.
Lets's calculate GCF of 2700,6600
| 2 | 2700, 6600 |
| 2 | 1350, 3300 |
| 3 | 675, 1650 |
| 5 | 225, 550 |
| 5 | 45, 110 |
| 9, 22 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 x 5 = 300
Greatest Common Factor of 2700,6600 By Matching Biggest Common Factor Method
Now, list down the factors of 2700
:1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,90,100,108,135,150,180,225,270,300,450,540,675,900,1350,2700
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
Greatest Common Factor
We found the factors 2700,6600 . The biggest common factor number is the GCF number.
So the greatest common factor 2700,6600 is 300.
Lets's calculate LCM of 677,6562
Given numbers has no common factors except 1. So, there LCM is their product i.e 4442474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 300/4442474
Therefore, the GCF of Fractions 2700/677,6600/6562 is 300/4442474
Least Common Multiple of 677,6562 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 677,6562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,6562) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,6562) x common factors =1 x 1 = 1
LCM(677,6562) = ( 677 × 6562 ) / 1
LCM(677,6562) = 4442474 / 1
LCM(677,6562) = 4442474
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FAQs on GCF of Fractions of 2700/677, 6600/6562
1. What is the HCF of 2700,6600?
The HCF of 2700,6600 is 300
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 2700/677, 6600/6562?
Answer: GCF of Numerators as per given numbers 2700/677, 6600/6562 is
GCF of Numerators i.e. for 2700,6600 is 300
LCM of denominators i.e. for 677,6562 is 4442474.
Thus, GCF of Fractions is 300/4442474.Finally, GCF of Fractions for 2700/677, 6600/6562 is 300/4442474.