GCF of 887/512, 8241/866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 887/512, 8241/866 i.e 1/221696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 887/512, 8241/866.
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 887/512,8241/866?
Given fractions are 887/512,8241/866
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 887/512,8241/866, numerators are 887,8241
Denominators are 512,866
The GCF of 887,8241 is 1 .
LCM of 512,866 is 221696.
The greatest common factor of 887/512,8241/866 = [GCF of 887,8241]/[LCM of 512,866]= 1/221696
Therefore, the GCF of 887/512,8241/866 is 1/221696.
To find the highest common factor of 887,8241, we have to find the factors of both numbers and list the highest common factor.
The factors of 887 are 1, 887
The factors of 8241 are 1, 3, 41, 67, 123, 201, 2747, 8241
The HCF of 887,8241 is 1.
Lets's calculate GCF of 887,8241
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 887,8241 By Matching Biggest Common Factor Method
Now, list down the factors of 887
:1,887
Now, list down the factors of 8241
:1,3,41,67,123,201,2747,8241
Greatest Common Factor
We found the factors 887,8241 . The biggest common factor number is the GCF number.
So the greatest common factor 887,8241 is 1.
Lets's calculate LCM of 512,866
| 2 | 512, 866 |
| 256, 433 |
∴ So the LCM of the given numbers is 2 x 256 x 433 = 221696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221696
Therefore, the GCF of Fractions 887/512,8241/866 is 1/221696
Least Common Multiple of 512,866 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 512,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,866) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(512,866) x common factors =2 x 1 = 2
LCM(512,866) = ( 512 × 866 ) / 2
LCM(512,866) = 443392 / 2
LCM(512,866) = 221696
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FAQs on GCF of Fractions of 887/512, 8241/866
1. What is the HCF of 887,8241?
The HCF of 887,8241 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 887/512, 8241/866?
Answer: GCF of Numerators as per given numbers 887/512, 8241/866 is
GCF of Numerators i.e. for 887,8241 is 1
LCM of denominators i.e. for 512,866 is 221696.
Thus, GCF of Fractions is 1/221696.Finally, GCF of Fractions for 887/512, 8241/866 is 1/221696.