GCF of 3066/809, 6538/251
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3066/809, 6538/251 i.e 14/203059 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3066/809, 6538/251.
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 3066/809,6538/251?
Given fractions are 3066/809,6538/251
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 3066/809,6538/251, numerators are 3066,6538
Denominators are 809,251
The GCF of 3066,6538 is 14 .
LCM of 809,251 is 203059.
The greatest common factor of 3066/809,6538/251 = [GCF of 3066,6538]/[LCM of 809,251]= 14/203059
Therefore, the GCF of 3066/809,6538/251 is 14/203059.
To find the highest common factor of 3066,6538, we have to find the factors of both numbers and list the highest common factor.
The factors of 3066 are 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533, 3066
The factors of 6538 are 1, 2, 7, 14, 467, 934, 3269, 6538
The HCF of 3066,6538 is 14.
Lets's calculate GCF of 3066,6538
| 2 | 3066, 6538 |
| 7 | 1533, 3269 |
| 219, 467 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 3066,6538 By Matching Biggest Common Factor Method
Now, list down the factors of 3066
:1,2,3,6,7,14,21,42,73,146,219,438,511,1022,1533,3066
Now, list down the factors of 6538
:1,2,7,14,467,934,3269,6538
Greatest Common Factor
We found the factors 3066,6538 . The biggest common factor number is the GCF number.
So the greatest common factor 3066,6538 is 14.
Lets's calculate LCM of 809,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 203059
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/203059
Therefore, the GCF of Fractions 3066/809,6538/251 is 14/203059
Least Common Multiple of 809,251 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 809,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,251) x common factors =1 x 1 = 1
LCM(809,251) = ( 809 × 251 ) / 1
LCM(809,251) = 203059 / 1
LCM(809,251) = 203059
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FAQs on GCF of Fractions of 3066/809, 6538/251
1. What is the HCF of 3066,6538?
The HCF of 3066,6538 is 14
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 3066/809, 6538/251?
Answer: GCF of Numerators as per given numbers 3066/809, 6538/251 is
GCF of Numerators i.e. for 3066,6538 is 14
LCM of denominators i.e. for 809,251 is 203059.
Thus, GCF of Fractions is 14/203059.Finally, GCF of Fractions for 3066/809, 6538/251 is 14/203059.