GCF of 8169/404, 3510/170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8169/404, 3510/170 i.e 3/34340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8169/404, 3510/170.
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 8169/404,3510/170?
Given fractions are 8169/404,3510/170
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 8169/404,3510/170, numerators are 8169,3510
Denominators are 404,170
The GCF of 8169,3510 is 3 .
LCM of 404,170 is 34340.
The greatest common factor of 8169/404,3510/170 = [GCF of 8169,3510]/[LCM of 404,170]= 3/34340
Therefore, the GCF of 8169/404,3510/170 is 3/34340.
To find the highest common factor of 8169,3510, we have to find the factors of both numbers and list the highest common factor.
The factors of 8169 are 1, 3, 7, 21, 389, 1167, 2723, 8169
The factors of 3510 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755, 3510
The HCF of 8169,3510 is 3.
Lets's calculate GCF of 8169,3510
| 3 | 8169, 3510 |
| 2723, 1170 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8169,3510 By Matching Biggest Common Factor Method
Now, list down the factors of 8169
:1,3,7,21,389,1167,2723,8169
Now, list down the factors of 3510
:1,2,3,5,6,9,10,13,15,18,26,27,30,39,45,54,65,78,90,117,130,135,195,234,270,351,390,585,702,1170,1755,3510
Greatest Common Factor
We found the factors 8169,3510 . The biggest common factor number is the GCF number.
So the greatest common factor 8169,3510 is 3.
Lets's calculate LCM of 404,170
| 2 | 404, 170 |
| 202, 85 |
∴ So the LCM of the given numbers is 2 x 202 x 85 = 34340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34340
Therefore, the GCF of Fractions 8169/404,3510/170 is 3/34340
Least Common Multiple of 404,170 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 404,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(404,170) x common factors =2 x 1 = 2
LCM(404,170) = ( 404 × 170 ) / 2
LCM(404,170) = 68680 / 2
LCM(404,170) = 34340
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FAQs on GCF of Fractions of 8169/404, 3510/170
1. What is the HCF of 8169,3510?
The HCF of 8169,3510 is 3
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 8169/404, 3510/170?
Answer: GCF of Numerators as per given numbers 8169/404, 3510/170 is
GCF of Numerators i.e. for 8169,3510 is 3
LCM of denominators i.e. for 404,170 is 34340.
Thus, GCF of Fractions is 3/34340.Finally, GCF of Fractions for 8169/404, 3510/170 is 3/34340.