GCF of 8027/704, 8256/6766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8027/704, 8256/6766 i.e 1/2381632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8027/704, 8256/6766.
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 8027/704,8256/6766?
Given fractions are 8027/704,8256/6766
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 8027/704,8256/6766, numerators are 8027,8256
Denominators are 704,6766
The GCF of 8027,8256 is 1 .
LCM of 704,6766 is 2381632.
The greatest common factor of 8027/704,8256/6766 = [GCF of 8027,8256]/[LCM of 704,6766]= 1/2381632
Therefore, the GCF of 8027/704,8256/6766 is 1/2381632.
To find the highest common factor of 8027,8256, we have to find the factors of both numbers and list the highest common factor.
The factors of 8027 are 1, 23, 349, 8027
The factors of 8256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256
The HCF of 8027,8256 is 1.
Lets's calculate GCF of 8027,8256
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8027,8256 By Matching Biggest Common Factor Method
Now, list down the factors of 8027
:1,23,349,8027
Now, list down the factors of 8256
:1,2,3,4,6,8,12,16,24,32,43,48,64,86,96,129,172,192,258,344,516,688,1032,1376,2064,2752,4128,8256
Greatest Common Factor
We found the factors 8027,8256 . The biggest common factor number is the GCF number.
So the greatest common factor 8027,8256 is 1.
Lets's calculate LCM of 704,6766
| 2 | 704, 6766 |
| 352, 3383 |
∴ So the LCM of the given numbers is 2 x 352 x 3383 = 2381632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2381632
Therefore, the GCF of Fractions 8027/704,8256/6766 is 1/2381632
Least Common Multiple of 704,6766 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 704,6766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,6766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(704,6766) x common factors =2 x 1 = 2
LCM(704,6766) = ( 704 × 6766 ) / 2
LCM(704,6766) = 4763264 / 2
LCM(704,6766) = 2381632
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8027/704, 8256/6766
1. What is the HCF of 8027,8256?
The HCF of 8027,8256 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 8027/704, 8256/6766?
Answer: GCF of Numerators as per given numbers 8027/704, 8256/6766 is
GCF of Numerators i.e. for 8027,8256 is 1
LCM of denominators i.e. for 704,6766 is 2381632.
Thus, GCF of Fractions is 1/2381632.Finally, GCF of Fractions for 8027/704, 8256/6766 is 1/2381632.