GCF of 8449/170, 5508/7638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8449/170, 5508/7638 i.e 17/649230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8449/170, 5508/7638.
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 8449/170,5508/7638?
Given fractions are 8449/170,5508/7638
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 8449/170,5508/7638, numerators are 8449,5508
Denominators are 170,7638
The GCF of 8449,5508 is 17 .
LCM of 170,7638 is 649230.
The greatest common factor of 8449/170,5508/7638 = [GCF of 8449,5508]/[LCM of 170,7638]= 17/649230
Therefore, the GCF of 8449/170,5508/7638 is 17/649230.
To find the highest common factor of 8449,5508, we have to find the factors of both numbers and list the highest common factor.
The factors of 8449 are 1, 7, 17, 71, 119, 497, 1207, 8449
The factors of 5508 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81, 102, 108, 153, 162, 204, 306, 324, 459, 612, 918, 1377, 1836, 2754, 5508
The HCF of 8449,5508 is 17.
Lets's calculate GCF of 8449,5508
| 17 | 8449, 5508 |
| 497, 324 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 8449,5508 By Matching Biggest Common Factor Method
Now, list down the factors of 8449
:1,7,17,71,119,497,1207,8449
Now, list down the factors of 5508
:1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,81,102,108,153,162,204,306,324,459,612,918,1377,1836,2754,5508
Greatest Common Factor
We found the factors 8449,5508 . The biggest common factor number is the GCF number.
So the greatest common factor 8449,5508 is 17.
Lets's calculate LCM of 170,7638
| 2 | 170, 7638 |
| 85, 3819 |
∴ So the LCM of the given numbers is 2 x 85 x 3819 = 649230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/649230
Therefore, the GCF of Fractions 8449/170,5508/7638 is 17/649230
Least Common Multiple of 170,7638 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 170,7638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,7638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,7638) x common factors =2 x 1 = 2
LCM(170,7638) = ( 170 × 7638 ) / 2
LCM(170,7638) = 1298460 / 2
LCM(170,7638) = 649230
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FAQs on GCF of Fractions of 8449/170, 5508/7638
1. What is the HCF of 8449,5508?
The HCF of 8449,5508 is 17
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 8449/170, 5508/7638?
Answer: GCF of Numerators as per given numbers 8449/170, 5508/7638 is
GCF of Numerators i.e. for 8449,5508 is 17
LCM of denominators i.e. for 170,7638 is 649230.
Thus, GCF of Fractions is 17/649230.Finally, GCF of Fractions for 8449/170, 5508/7638 is 17/649230.