GCF of 9450/866, 2800/4665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9450/866, 2800/4665 i.e 350/4039890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9450/866, 2800/4665.
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 9450/866,2800/4665?
Given fractions are 9450/866,2800/4665
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 9450/866,2800/4665, numerators are 9450,2800
Denominators are 866,4665
The GCF of 9450,2800 is 350 .
LCM of 866,4665 is 4039890.
The greatest common factor of 9450/866,2800/4665 = [GCF of 9450,2800]/[LCM of 866,4665]= 350/4039890
Therefore, the GCF of 9450/866,2800/4665 is 350/4039890.
To find the highest common factor of 9450,2800, we have to find the factors of both numbers and list the highest common factor.
The factors of 9450 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, 9450
The factors of 2800 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, 2800
The HCF of 9450,2800 is 350.
Lets's calculate GCF of 9450,2800
| 2 | 9450, 2800 |
| 5 | 4725, 1400 |
| 5 | 945, 280 |
| 7 | 189, 56 |
| 27, 8 |
∴ So the GCF of the given numbers is 2 x 5 x 5 x 7 = 350
Greatest Common Factor of 9450,2800 By Matching Biggest Common Factor Method
Now, list down the factors of 9450
:1,2,3,5,6,7,9,10,14,15,18,21,25,27,30,35,42,45,50,54,63,70,75,90,105,126,135,150,175,189,210,225,270,315,350,378,450,525,630,675,945,1050,1350,1575,1890,3150,4725,9450
Now, list down the factors of 2800
:1,2,4,5,7,8,10,14,16,20,25,28,35,40,50,56,70,80,100,112,140,175,200,280,350,400,560,700,1400,2800
Greatest Common Factor
We found the factors 9450,2800 . The biggest common factor number is the GCF number.
So the greatest common factor 9450,2800 is 350.
Lets's calculate LCM of 866,4665
Given numbers has no common factors except 1. So, there LCM is their product i.e 4039890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 350/4039890
Therefore, the GCF of Fractions 9450/866,2800/4665 is 350/4039890
Least Common Multiple of 866,4665 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 866,4665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,4665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(866,4665) x common factors =1 x 1 = 1
LCM(866,4665) = ( 866 × 4665 ) / 1
LCM(866,4665) = 4039890 / 1
LCM(866,4665) = 4039890
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FAQs on GCF of Fractions of 9450/866, 2800/4665
1. What is the HCF of 9450,2800?
The HCF of 9450,2800 is 350
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 9450/866, 2800/4665?
Answer: GCF of Numerators as per given numbers 9450/866, 2800/4665 is
GCF of Numerators i.e. for 9450,2800 is 350
LCM of denominators i.e. for 866,4665 is 4039890.
Thus, GCF of Fractions is 350/4039890.Finally, GCF of Fractions for 9450/866, 2800/4665 is 350/4039890.