GCF of 856/886, 6286/864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 856/886, 6286/864 i.e 2/382752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 856/886, 6286/864.
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 856/886,6286/864?
Given fractions are 856/886,6286/864
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 856/886,6286/864, numerators are 856,6286
Denominators are 886,864
The GCF of 856,6286 is 2 .
LCM of 886,864 is 382752.
The greatest common factor of 856/886,6286/864 = [GCF of 856,6286]/[LCM of 886,864]= 2/382752
Therefore, the GCF of 856/886,6286/864 is 2/382752.
To find the highest common factor of 856,6286, we have to find the factors of both numbers and list the highest common factor.
The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856
The factors of 6286 are 1, 2, 7, 14, 449, 898, 3143, 6286
The HCF of 856,6286 is 2.
Lets's calculate GCF of 856,6286
| 2 | 856, 6286 |
| 428, 3143 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 856,6286 By Matching Biggest Common Factor Method
Now, list down the factors of 856
:1,2,4,8,107,214,428,856
Now, list down the factors of 6286
:1,2,7,14,449,898,3143,6286
Greatest Common Factor
We found the factors 856,6286 . The biggest common factor number is the GCF number.
So the greatest common factor 856,6286 is 2.
Lets's calculate LCM of 886,864
| 2 | 886, 864 |
| 443, 432 |
∴ So the LCM of the given numbers is 2 x 443 x 432 = 382752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/382752
Therefore, the GCF of Fractions 856/886,6286/864 is 2/382752
Least Common Multiple of 886,864 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 886,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,864) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,864) x common factors =2 x 1 = 2
LCM(886,864) = ( 886 × 864 ) / 2
LCM(886,864) = 765504 / 2
LCM(886,864) = 382752
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 856/886, 6286/864
1. What is the HCF of 856,6286?
The HCF of 856,6286 is 2
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 856/886, 6286/864?
Answer: GCF of Numerators as per given numbers 856/886, 6286/864 is
GCF of Numerators i.e. for 856,6286 is 2
LCM of denominators i.e. for 886,864 is 382752.
Thus, GCF of Fractions is 2/382752.Finally, GCF of Fractions for 856/886, 6286/864 is 2/382752.