GCF of 1840/906, 1633/8001
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1840/906, 1633/8001 i.e 23/2416302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1840/906, 1633/8001.
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 1840/906,1633/8001?
Given fractions are 1840/906,1633/8001
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 1840/906,1633/8001, numerators are 1840,1633
Denominators are 906,8001
The GCF of 1840,1633 is 23 .
LCM of 906,8001 is 2416302.
The greatest common factor of 1840/906,1633/8001 = [GCF of 1840,1633]/[LCM of 906,8001]= 23/2416302
Therefore, the GCF of 1840/906,1633/8001 is 23/2416302.
To find the highest common factor of 1840,1633, we have to find the factors of both numbers and list the highest common factor.
The factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840
The factors of 1633 are 1, 23, 71, 1633
The HCF of 1840,1633 is 23.
Lets's calculate GCF of 1840,1633
| 23 | 1840, 1633 |
| 80, 71 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 1840,1633 By Matching Biggest Common Factor Method
Now, list down the factors of 1840
:1,2,4,5,8,10,16,20,23,40,46,80,92,115,184,230,368,460,920,1840
Now, list down the factors of 1633
:1,23,71,1633
Greatest Common Factor
We found the factors 1840,1633 . The biggest common factor number is the GCF number.
So the greatest common factor 1840,1633 is 23.
Lets's calculate LCM of 906,8001
| 3 | 906, 8001 |
| 302, 2667 |
∴ So the LCM of the given numbers is 3 x 302 x 2667 = 2416302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/2416302
Therefore, the GCF of Fractions 1840/906,1633/8001 is 23/2416302
Least Common Multiple of 906,8001 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 906,8001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,8001) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(906,8001) x common factors =3 x 1 = 3
LCM(906,8001) = ( 906 × 8001 ) / 3
LCM(906,8001) = 7248906 / 3
LCM(906,8001) = 2416302
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FAQs on GCF of Fractions of 1840/906, 1633/8001
1. What is the HCF of 1840,1633?
The HCF of 1840,1633 is 23
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 1840/906, 1633/8001?
Answer: GCF of Numerators as per given numbers 1840/906, 1633/8001 is
GCF of Numerators i.e. for 1840,1633 is 23
LCM of denominators i.e. for 906,8001 is 2416302.
Thus, GCF of Fractions is 23/2416302.Finally, GCF of Fractions for 1840/906, 1633/8001 is 23/2416302.