GCF of 6699/253, 8427/6486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6699/253, 8427/6486 i.e 3/71346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6699/253, 8427/6486.
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 6699/253,8427/6486?
Given fractions are 6699/253,8427/6486
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 6699/253,8427/6486, numerators are 6699,8427
Denominators are 253,6486
The GCF of 6699,8427 is 3 .
LCM of 253,6486 is 71346.
The greatest common factor of 6699/253,8427/6486 = [GCF of 6699,8427]/[LCM of 253,6486]= 3/71346
Therefore, the GCF of 6699/253,8427/6486 is 3/71346.
To find the highest common factor of 6699,8427, we have to find the factors of both numbers and list the highest common factor.
The factors of 6699 are 1, 3, 7, 11, 21, 29, 33, 77, 87, 203, 231, 319, 609, 957, 2233, 6699
The factors of 8427 are 1, 3, 53, 159, 2809, 8427
The HCF of 6699,8427 is 3.
Lets's calculate GCF of 6699,8427
| 3 | 6699, 8427 |
| 2233, 2809 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6699,8427 By Matching Biggest Common Factor Method
Now, list down the factors of 6699
:1,3,7,11,21,29,33,77,87,203,231,319,609,957,2233,6699
Now, list down the factors of 8427
:1,3,53,159,2809,8427
Greatest Common Factor
We found the factors 6699,8427 . The biggest common factor number is the GCF number.
So the greatest common factor 6699,8427 is 3.
Lets's calculate LCM of 253,6486
| 23 | 253, 6486 |
| 11, 282 |
∴ So the LCM of the given numbers is 23 x 11 x 282 = 71346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/71346
Therefore, the GCF of Fractions 6699/253,8427/6486 is 3/71346
Least Common Multiple of 253,6486 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 253,6486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,6486) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(253,6486) x common factors =23 x 1 = 23
LCM(253,6486) = ( 253 × 6486 ) / 23
LCM(253,6486) = 1640958 / 23
LCM(253,6486) = 71346
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FAQs on GCF of Fractions of 6699/253, 8427/6486
1. What is the HCF of 6699,8427?
The HCF of 6699,8427 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 6699/253, 8427/6486?
Answer: GCF of Numerators as per given numbers 6699/253, 8427/6486 is
GCF of Numerators i.e. for 6699,8427 is 3
LCM of denominators i.e. for 253,6486 is 71346.
Thus, GCF of Fractions is 3/71346.Finally, GCF of Fractions for 6699/253, 8427/6486 is 3/71346.