GCF of 741/485, 811/221
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 741/485, 811/221 i.e 1/107185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 741/485, 811/221.
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 741/485,811/221?
Given fractions are 741/485,811/221
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 741/485,811/221, numerators are 741,811
Denominators are 485,221
The GCF of 741,811 is 1 .
LCM of 485,221 is 107185.
The greatest common factor of 741/485,811/221 = [GCF of 741,811]/[LCM of 485,221]= 1/107185
Therefore, the GCF of 741/485,811/221 is 1/107185.
To find the highest common factor of 741,811, we have to find the factors of both numbers and list the highest common factor.
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The factors of 811 are 1, 811
The HCF of 741,811 is 1.
Lets's calculate GCF of 741,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 741,811 By Matching Biggest Common Factor Method
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Now, list down the factors of 811
:1,811
Greatest Common Factor
We found the factors 741,811 . The biggest common factor number is the GCF number.
So the greatest common factor 741,811 is 1.
Lets's calculate LCM of 485,221
Given numbers has no common factors except 1. So, there LCM is their product i.e 107185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107185
Therefore, the GCF of Fractions 741/485,811/221 is 1/107185
Least Common Multiple of 485,221 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 485,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(485,221) x common factors =1 x 1 = 1
LCM(485,221) = ( 485 × 221 ) / 1
LCM(485,221) = 107185 / 1
LCM(485,221) = 107185
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 741/485, 811/221
1. What is the HCF of 741,811?
The HCF of 741,811 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 741/485, 811/221?
Answer: GCF of Numerators as per given numbers 741/485, 811/221 is
GCF of Numerators i.e. for 741,811 is 1
LCM of denominators i.e. for 485,221 is 107185.
Thus, GCF of Fractions is 1/107185.Finally, GCF of Fractions for 741/485, 811/221 is 1/107185.