GCF of 8305/673, 1188/8403
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8305/673, 1188/8403 i.e 11/5655219 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8305/673, 1188/8403.
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 8305/673,1188/8403?
Given fractions are 8305/673,1188/8403
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 8305/673,1188/8403, numerators are 8305,1188
Denominators are 673,8403
The GCF of 8305,1188 is 11 .
LCM of 673,8403 is 5655219.
The greatest common factor of 8305/673,1188/8403 = [GCF of 8305,1188]/[LCM of 673,8403]= 11/5655219
Therefore, the GCF of 8305/673,1188/8403 is 11/5655219.
To find the highest common factor of 8305,1188, we have to find the factors of both numbers and list the highest common factor.
The factors of 8305 are 1, 5, 11, 55, 151, 755, 1661, 8305
The factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188
The HCF of 8305,1188 is 11.
Lets's calculate GCF of 8305,1188
| 11 | 8305, 1188 |
| 755, 108 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8305,1188 By Matching Biggest Common Factor Method
Now, list down the factors of 8305
:1,5,11,55,151,755,1661,8305
Now, list down the factors of 1188
:1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,99,108,132,198,297,396,594,1188
Greatest Common Factor
We found the factors 8305,1188 . The biggest common factor number is the GCF number.
So the greatest common factor 8305,1188 is 11.
Lets's calculate LCM of 673,8403
Given numbers has no common factors except 1. So, there LCM is their product i.e 5655219
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/5655219
Therefore, the GCF of Fractions 8305/673,1188/8403 is 11/5655219
Least Common Multiple of 673,8403 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 673,8403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,8403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,8403) x common factors =1 x 1 = 1
LCM(673,8403) = ( 673 × 8403 ) / 1
LCM(673,8403) = 5655219 / 1
LCM(673,8403) = 5655219
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FAQs on GCF of Fractions of 8305/673, 1188/8403
1. What is the HCF of 8305,1188?
The HCF of 8305,1188 is 11
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 8305/673, 1188/8403?
Answer: GCF of Numerators as per given numbers 8305/673, 1188/8403 is
GCF of Numerators i.e. for 8305,1188 is 11
LCM of denominators i.e. for 673,8403 is 5655219.
Thus, GCF of Fractions is 11/5655219.Finally, GCF of Fractions for 8305/673, 1188/8403 is 11/5655219.