GCF of 8523/404, 8052/8410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8523/404, 8052/8410 i.e 3/1698820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8523/404, 8052/8410.
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 8523/404,8052/8410?
Given fractions are 8523/404,8052/8410
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 8523/404,8052/8410, numerators are 8523,8052
Denominators are 404,8410
The GCF of 8523,8052 is 3 .
LCM of 404,8410 is 1698820.
The greatest common factor of 8523/404,8052/8410 = [GCF of 8523,8052]/[LCM of 404,8410]= 3/1698820
Therefore, the GCF of 8523/404,8052/8410 is 3/1698820.
To find the highest common factor of 8523,8052, we have to find the factors of both numbers and list the highest common factor.
The factors of 8523 are 1, 3, 9, 947, 2841, 8523
The factors of 8052 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026, 8052
The HCF of 8523,8052 is 3.
Lets's calculate GCF of 8523,8052
| 3 | 8523, 8052 |
| 2841, 2684 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8523,8052 By Matching Biggest Common Factor Method
Now, list down the factors of 8523
:1,3,9,947,2841,8523
Now, list down the factors of 8052
:1,2,3,4,6,11,12,22,33,44,61,66,122,132,183,244,366,671,732,1342,2013,2684,4026,8052
Greatest Common Factor
We found the factors 8523,8052 . The biggest common factor number is the GCF number.
So the greatest common factor 8523,8052 is 3.
Lets's calculate LCM of 404,8410
| 2 | 404, 8410 |
| 202, 4205 |
∴ So the LCM of the given numbers is 2 x 202 x 4205 = 1698820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1698820
Therefore, the GCF of Fractions 8523/404,8052/8410 is 3/1698820
Least Common Multiple of 404,8410 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 404,8410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,8410) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(404,8410) x common factors =2 x 1 = 2
LCM(404,8410) = ( 404 × 8410 ) / 2
LCM(404,8410) = 3397640 / 2
LCM(404,8410) = 1698820
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FAQs on GCF of Fractions of 8523/404, 8052/8410
1. What is the HCF of 8523,8052?
The HCF of 8523,8052 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 8523/404, 8052/8410?
Answer: GCF of Numerators as per given numbers 8523/404, 8052/8410 is
GCF of Numerators i.e. for 8523,8052 is 3
LCM of denominators i.e. for 404,8410 is 1698820.
Thus, GCF of Fractions is 3/1698820.Finally, GCF of Fractions for 8523/404, 8052/8410 is 3/1698820.