GCF of 8633/170, 8448/242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8633/170, 8448/242 i.e 1/20570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8633/170, 8448/242.
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 8633/170,8448/242?
Given fractions are 8633/170,8448/242
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 8633/170,8448/242, numerators are 8633,8448
Denominators are 170,242
The GCF of 8633,8448 is 1 .
LCM of 170,242 is 20570.
The greatest common factor of 8633/170,8448/242 = [GCF of 8633,8448]/[LCM of 170,242]= 1/20570
Therefore, the GCF of 8633/170,8448/242 is 1/20570.
To find the highest common factor of 8633,8448, we have to find the factors of both numbers and list the highest common factor.
The factors of 8633 are 1, 89, 97, 8633
The factors of 8448 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 528, 704, 768, 1056, 1408, 2112, 2816, 4224, 8448
The HCF of 8633,8448 is 1.
Lets's calculate GCF of 8633,8448
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8633,8448 By Matching Biggest Common Factor Method
Now, list down the factors of 8633
:1,89,97,8633
Now, list down the factors of 8448
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,256,264,352,384,528,704,768,1056,1408,2112,2816,4224,8448
Greatest Common Factor
We found the factors 8633,8448 . The biggest common factor number is the GCF number.
So the greatest common factor 8633,8448 is 1.
Lets's calculate LCM of 170,242
| 2 | 170, 242 |
| 85, 121 |
∴ So the LCM of the given numbers is 2 x 85 x 121 = 20570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20570
Therefore, the GCF of Fractions 8633/170,8448/242 is 1/20570
Least Common Multiple of 170,242 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 170,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,242) x common factors =2 x 1 = 2
LCM(170,242) = ( 170 × 242 ) / 2
LCM(170,242) = 41140 / 2
LCM(170,242) = 20570
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FAQs on GCF of Fractions of 8633/170, 8448/242
1. What is the HCF of 8633,8448?
The HCF of 8633,8448 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 8633/170, 8448/242?
Answer: GCF of Numerators as per given numbers 8633/170, 8448/242 is
GCF of Numerators i.e. for 8633,8448 is 1
LCM of denominators i.e. for 170,242 is 20570.
Thus, GCF of Fractions is 1/20570.Finally, GCF of Fractions for 8633/170, 8448/242 is 1/20570.