GCF of 8826/256, 6861/866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8826/256, 6861/866 i.e 3/110848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8826/256, 6861/866.
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 8826/256,6861/866?
Given fractions are 8826/256,6861/866
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 8826/256,6861/866, numerators are 8826,6861
Denominators are 256,866
The GCF of 8826,6861 is 3 .
LCM of 256,866 is 110848.
The greatest common factor of 8826/256,6861/866 = [GCF of 8826,6861]/[LCM of 256,866]= 3/110848
Therefore, the GCF of 8826/256,6861/866 is 3/110848.
To find the highest common factor of 8826,6861, we have to find the factors of both numbers and list the highest common factor.
The factors of 8826 are 1, 2, 3, 6, 1471, 2942, 4413, 8826
The factors of 6861 are 1, 3, 2287, 6861
The HCF of 8826,6861 is 3.
Lets's calculate GCF of 8826,6861
| 3 | 8826, 6861 |
| 2942, 2287 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8826,6861 By Matching Biggest Common Factor Method
Now, list down the factors of 8826
:1,2,3,6,1471,2942,4413,8826
Now, list down the factors of 6861
:1,3,2287,6861
Greatest Common Factor
We found the factors 8826,6861 . The biggest common factor number is the GCF number.
So the greatest common factor 8826,6861 is 3.
Lets's calculate LCM of 256,866
| 2 | 256, 866 |
| 128, 433 |
∴ So the LCM of the given numbers is 2 x 128 x 433 = 110848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/110848
Therefore, the GCF of Fractions 8826/256,6861/866 is 3/110848
Least Common Multiple of 256,866 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 256,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,866) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(256,866) x common factors =2 x 1 = 2
LCM(256,866) = ( 256 × 866 ) / 2
LCM(256,866) = 221696 / 2
LCM(256,866) = 110848
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FAQs on GCF of Fractions of 8826/256, 6861/866
1. What is the HCF of 8826,6861?
The HCF of 8826,6861 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 8826/256, 6861/866?
Answer: GCF of Numerators as per given numbers 8826/256, 6861/866 is
GCF of Numerators i.e. for 8826,6861 is 3
LCM of denominators i.e. for 256,866 is 110848.
Thus, GCF of Fractions is 3/110848.Finally, GCF of Fractions for 8826/256, 6861/866 is 3/110848.