GCF of 447/209, 6846/814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 447/209, 6846/814 i.e 3/15466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 447/209, 6846/814.
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 447/209,6846/814?
Given fractions are 447/209,6846/814
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 447/209,6846/814, numerators are 447,6846
Denominators are 209,814
The GCF of 447,6846 is 3 .
LCM of 209,814 is 15466.
The greatest common factor of 447/209,6846/814 = [GCF of 447,6846]/[LCM of 209,814]= 3/15466
Therefore, the GCF of 447/209,6846/814 is 3/15466.
To find the highest common factor of 447,6846, we have to find the factors of both numbers and list the highest common factor.
The factors of 447 are 1, 3, 149, 447
The factors of 6846 are 1, 2, 3, 6, 7, 14, 21, 42, 163, 326, 489, 978, 1141, 2282, 3423, 6846
The HCF of 447,6846 is 3.
Lets's calculate GCF of 447,6846
| 3 | 447, 6846 |
| 149, 2282 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 447,6846 By Matching Biggest Common Factor Method
Now, list down the factors of 447
:1,3,149,447
Now, list down the factors of 6846
:1,2,3,6,7,14,21,42,163,326,489,978,1141,2282,3423,6846
Greatest Common Factor
We found the factors 447,6846 . The biggest common factor number is the GCF number.
So the greatest common factor 447,6846 is 3.
Lets's calculate LCM of 209,814
| 11 | 209, 814 |
| 19, 74 |
∴ So the LCM of the given numbers is 11 x 19 x 74 = 15466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15466
Therefore, the GCF of Fractions 447/209,6846/814 is 3/15466
Least Common Multiple of 209,814 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 209,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,814) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(209,814) x common factors =11 x 1 = 11
LCM(209,814) = ( 209 × 814 ) / 11
LCM(209,814) = 170126 / 11
LCM(209,814) = 15466
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FAQs on GCF of Fractions of 447/209, 6846/814
1. What is the HCF of 447,6846?
The HCF of 447,6846 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 447/209, 6846/814?
Answer: GCF of Numerators as per given numbers 447/209, 6846/814 is
GCF of Numerators i.e. for 447,6846 is 3
LCM of denominators i.e. for 209,814 is 15466.
Thus, GCF of Fractions is 3/15466.Finally, GCF of Fractions for 447/209, 6846/814 is 3/15466.