GCF of 8250/899, 6670/2355
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8250/899, 6670/2355 i.e 10/2117145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8250/899, 6670/2355.
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 8250/899,6670/2355?
Given fractions are 8250/899,6670/2355
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 8250/899,6670/2355, numerators are 8250,6670
Denominators are 899,2355
The GCF of 8250,6670 is 10 .
LCM of 899,2355 is 2117145.
The greatest common factor of 8250/899,6670/2355 = [GCF of 8250,6670]/[LCM of 899,2355]= 10/2117145
Therefore, the GCF of 8250/899,6670/2355 is 10/2117145.
To find the highest common factor of 8250,6670, we have to find the factors of both numbers and list the highest common factor.
The factors of 8250 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250
The factors of 6670 are 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670
The HCF of 8250,6670 is 10.
Lets's calculate GCF of 8250,6670
| 2 | 8250, 6670 |
| 5 | 4125, 3335 |
| 825, 667 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8250,6670 By Matching Biggest Common Factor Method
Now, list down the factors of 8250
:1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,125,150,165,250,275,330,375,550,750,825,1375,1650,2750,4125,8250
Now, list down the factors of 6670
:1,2,5,10,23,29,46,58,115,145,230,290,667,1334,3335,6670
Greatest Common Factor
We found the factors 8250,6670 . The biggest common factor number is the GCF number.
So the greatest common factor 8250,6670 is 10.
Lets's calculate LCM of 899,2355
Given numbers has no common factors except 1. So, there LCM is their product i.e 2117145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2117145
Therefore, the GCF of Fractions 8250/899,6670/2355 is 10/2117145
Least Common Multiple of 899,2355 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 899,2355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,2355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,2355) x common factors =1 x 1 = 1
LCM(899,2355) = ( 899 × 2355 ) / 1
LCM(899,2355) = 2117145 / 1
LCM(899,2355) = 2117145
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FAQs on GCF of Fractions of 8250/899, 6670/2355
1. What is the HCF of 8250,6670?
The HCF of 8250,6670 is 10
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 8250/899, 6670/2355?
Answer: GCF of Numerators as per given numbers 8250/899, 6670/2355 is
GCF of Numerators i.e. for 8250,6670 is 10
LCM of denominators i.e. for 899,2355 is 2117145.
Thus, GCF of Fractions is 10/2117145.Finally, GCF of Fractions for 8250/899, 6670/2355 is 10/2117145.