GCF of 5447/123, 6811/447
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5447/123, 6811/447 i.e 1/18327 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5447/123, 6811/447.
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 5447/123,6811/447?
Given fractions are 5447/123,6811/447
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 5447/123,6811/447, numerators are 5447,6811
Denominators are 123,447
The GCF of 5447,6811 is 1 .
LCM of 123,447 is 18327.
The greatest common factor of 5447/123,6811/447 = [GCF of 5447,6811]/[LCM of 123,447]= 1/18327
Therefore, the GCF of 5447/123,6811/447 is 1/18327.
To find the highest common factor of 5447,6811, we have to find the factors of both numbers and list the highest common factor.
The factors of 5447 are 1, 13, 419, 5447
The factors of 6811 are 1, 7, 49, 139, 973, 6811
The HCF of 5447,6811 is 1.
Lets's calculate GCF of 5447,6811
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5447,6811 By Matching Biggest Common Factor Method
Now, list down the factors of 5447
:1,13,419,5447
Now, list down the factors of 6811
:1,7,49,139,973,6811
Greatest Common Factor
We found the factors 5447,6811 . The biggest common factor number is the GCF number.
So the greatest common factor 5447,6811 is 1.
Lets's calculate LCM of 123,447
| 3 | 123, 447 |
| 41, 149 |
∴ So the LCM of the given numbers is 3 x 41 x 149 = 18327
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18327
Therefore, the GCF of Fractions 5447/123,6811/447 is 1/18327
Least Common Multiple of 123,447 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 123,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,447) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,447) x common factors =3 x 1 = 3
LCM(123,447) = ( 123 × 447 ) / 3
LCM(123,447) = 54981 / 3
LCM(123,447) = 18327
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FAQs on GCF of Fractions of 5447/123, 6811/447
1. What is the HCF of 5447,6811?
The HCF of 5447,6811 is 1
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 5447/123, 6811/447?
Answer: GCF of Numerators as per given numbers 5447/123, 6811/447 is
GCF of Numerators i.e. for 5447,6811 is 1
LCM of denominators i.e. for 123,447 is 18327.
Thus, GCF of Fractions is 1/18327.Finally, GCF of Fractions for 5447/123, 6811/447 is 1/18327.