GCF of 1890/705, 8666/8184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1890/705, 8666/8184 i.e 14/1923240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1890/705, 8666/8184.
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 1890/705,8666/8184?
Given fractions are 1890/705,8666/8184
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 1890/705,8666/8184, numerators are 1890,8666
Denominators are 705,8184
The GCF of 1890,8666 is 14 .
LCM of 705,8184 is 1923240.
The greatest common factor of 1890/705,8666/8184 = [GCF of 1890,8666]/[LCM of 705,8184]= 14/1923240
Therefore, the GCF of 1890/705,8666/8184 is 14/1923240.
To find the highest common factor of 1890,8666, we have to find the factors of both numbers and list the highest common factor.
The factors of 1890 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1890
The factors of 8666 are 1, 2, 7, 14, 619, 1238, 4333, 8666
The HCF of 1890,8666 is 14.
Lets's calculate GCF of 1890,8666
| 2 | 1890, 8666 |
| 7 | 945, 4333 |
| 135, 619 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 1890,8666 By Matching Biggest Common Factor Method
Now, list down the factors of 1890
:1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,90,105,126,135,189,210,270,315,378,630,945,1890
Now, list down the factors of 8666
:1,2,7,14,619,1238,4333,8666
Greatest Common Factor
We found the factors 1890,8666 . The biggest common factor number is the GCF number.
So the greatest common factor 1890,8666 is 14.
Lets's calculate LCM of 705,8184
| 3 | 705, 8184 |
| 235, 2728 |
∴ So the LCM of the given numbers is 3 x 235 x 2728 = 1923240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1923240
Therefore, the GCF of Fractions 1890/705,8666/8184 is 14/1923240
Least Common Multiple of 705,8184 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 705,8184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,8184) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(705,8184) x common factors =3 x 1 = 3
LCM(705,8184) = ( 705 × 8184 ) / 3
LCM(705,8184) = 5769720 / 3
LCM(705,8184) = 1923240
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FAQs on GCF of Fractions of 1890/705, 8666/8184
1. What is the HCF of 1890,8666?
The HCF of 1890,8666 is 14
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 1890/705, 8666/8184?
Answer: GCF of Numerators as per given numbers 1890/705, 8666/8184 is
GCF of Numerators i.e. for 1890,8666 is 14
LCM of denominators i.e. for 705,8184 is 1923240.
Thus, GCF of Fractions is 14/1923240.Finally, GCF of Fractions for 1890/705, 8666/8184 is 14/1923240.