GCF of 8183/299, 1670/1844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8183/299, 1670/1844 i.e 167/551356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8183/299, 1670/1844.
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 8183/299,1670/1844?
Given fractions are 8183/299,1670/1844
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 8183/299,1670/1844, numerators are 8183,1670
Denominators are 299,1844
The GCF of 8183,1670 is 167 .
LCM of 299,1844 is 551356.
The greatest common factor of 8183/299,1670/1844 = [GCF of 8183,1670]/[LCM of 299,1844]= 167/551356
Therefore, the GCF of 8183/299,1670/1844 is 167/551356.
To find the highest common factor of 8183,1670, we have to find the factors of both numbers and list the highest common factor.
The factors of 8183 are 1, 7, 49, 167, 1169, 8183
The factors of 1670 are 1, 2, 5, 10, 167, 334, 835, 1670
The HCF of 8183,1670 is 167.
Lets's calculate GCF of 8183,1670
| 167 | 8183, 1670 |
| 49, 10 |
∴ So the GCF of the given numbers is 167 = 167
Greatest Common Factor of 8183,1670 By Matching Biggest Common Factor Method
Now, list down the factors of 8183
:1,7,49,167,1169,8183
Now, list down the factors of 1670
:1,2,5,10,167,334,835,1670
Greatest Common Factor
We found the factors 8183,1670 . The biggest common factor number is the GCF number.
So the greatest common factor 8183,1670 is 167.
Lets's calculate LCM of 299,1844
Given numbers has no common factors except 1. So, there LCM is their product i.e 551356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 167/551356
Therefore, the GCF of Fractions 8183/299,1670/1844 is 167/551356
Least Common Multiple of 299,1844 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 299,1844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,1844) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,1844) x common factors =1 x 1 = 1
LCM(299,1844) = ( 299 × 1844 ) / 1
LCM(299,1844) = 551356 / 1
LCM(299,1844) = 551356
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FAQs on GCF of Fractions of 8183/299, 1670/1844
1. What is the HCF of 8183,1670?
The HCF of 8183,1670 is 167
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 8183/299, 1670/1844?
Answer: GCF of Numerators as per given numbers 8183/299, 1670/1844 is
GCF of Numerators i.e. for 8183,1670 is 167
LCM of denominators i.e. for 299,1844 is 551356.
Thus, GCF of Fractions is 167/551356.Finally, GCF of Fractions for 8183/299, 1670/1844 is 167/551356.