GCF of 411/92, 663/6439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 411/92, 663/6439 i.e 3/592388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 411/92, 663/6439.
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 411/92,663/6439?
Given fractions are 411/92,663/6439
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 411/92,663/6439, numerators are 411,663
Denominators are 92,6439
The GCF of 411,663 is 3 .
LCM of 92,6439 is 592388.
The greatest common factor of 411/92,663/6439 = [GCF of 411,663]/[LCM of 92,6439]= 3/592388
Therefore, the GCF of 411/92,663/6439 is 3/592388.
To find the highest common factor of 411,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 411 are 1, 3, 137, 411
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 411,663 is 3.
Lets's calculate GCF of 411,663
| 3 | 411, 663 |
| 137, 221 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 411,663 By Matching Biggest Common Factor Method
Now, list down the factors of 411
:1,3,137,411
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 411,663 . The biggest common factor number is the GCF number.
So the greatest common factor 411,663 is 3.
Lets's calculate LCM of 92,6439
Given numbers has no common factors except 1. So, there LCM is their product i.e 592388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/592388
Therefore, the GCF of Fractions 411/92,663/6439 is 3/592388
Least Common Multiple of 92,6439 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 92,6439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,6439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,6439) x common factors =1 x 1 = 1
LCM(92,6439) = ( 92 × 6439 ) / 1
LCM(92,6439) = 592388 / 1
LCM(92,6439) = 592388
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 411/92, 663/6439
1. What is the HCF of 411,663?
The HCF of 411,663 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 411/92, 663/6439?
Answer: GCF of Numerators as per given numbers 411/92, 663/6439 is
GCF of Numerators i.e. for 411,663 is 3
LCM of denominators i.e. for 92,6439 is 592388.
Thus, GCF of Fractions is 3/592388.Finally, GCF of Fractions for 411/92, 663/6439 is 3/592388.