GCF of 9000/886, 2189/210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9000/886, 2189/210 i.e 1/93030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9000/886, 2189/210.
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 9000/886,2189/210?
Given fractions are 9000/886,2189/210
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 9000/886,2189/210, numerators are 9000,2189
Denominators are 886,210
The GCF of 9000,2189 is 1 .
LCM of 886,210 is 93030.
The greatest common factor of 9000/886,2189/210 = [GCF of 9000,2189]/[LCM of 886,210]= 1/93030
Therefore, the GCF of 9000/886,2189/210 is 1/93030.
To find the highest common factor of 9000,2189, we have to find the factors of both numbers and list the highest common factor.
The factors of 9000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000
The factors of 2189 are 1, 11, 199, 2189
The HCF of 9000,2189 is 1.
Lets's calculate GCF of 9000,2189
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9000,2189 By Matching Biggest Common Factor Method
Now, list down the factors of 9000
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,125,150,180,200,225,250,300,360,375,450,500,600,750,900,1000,1125,1500,1800,2250,3000,4500,9000
Now, list down the factors of 2189
:1,11,199,2189
Greatest Common Factor
We found the factors 9000,2189 . The biggest common factor number is the GCF number.
So the greatest common factor 9000,2189 is 1.
Lets's calculate LCM of 886,210
| 2 | 886, 210 |
| 443, 105 |
∴ So the LCM of the given numbers is 2 x 443 x 105 = 93030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93030
Therefore, the GCF of Fractions 9000/886,2189/210 is 1/93030
Least Common Multiple of 886,210 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 886,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,210) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,210) x common factors =2 x 1 = 2
LCM(886,210) = ( 886 × 210 ) / 2
LCM(886,210) = 186060 / 2
LCM(886,210) = 93030
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FAQs on GCF of Fractions of 9000/886, 2189/210
1. What is the HCF of 9000,2189?
The HCF of 9000,2189 is 1
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 9000/886, 2189/210?
Answer: GCF of Numerators as per given numbers 9000/886, 2189/210 is
GCF of Numerators i.e. for 9000,2189 is 1
LCM of denominators i.e. for 886,210 is 93030.
Thus, GCF of Fractions is 1/93030.Finally, GCF of Fractions for 9000/886, 2189/210 is 1/93030.