GCF of 8022/976, 8448/5864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8022/976, 8448/5864 i.e 6/715408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8022/976, 8448/5864.
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 8022/976,8448/5864?
Given fractions are 8022/976,8448/5864
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 8022/976,8448/5864, numerators are 8022,8448
Denominators are 976,5864
The GCF of 8022,8448 is 6 .
LCM of 976,5864 is 715408.
The greatest common factor of 8022/976,8448/5864 = [GCF of 8022,8448]/[LCM of 976,5864]= 6/715408
Therefore, the GCF of 8022/976,8448/5864 is 6/715408.
To find the highest common factor of 8022,8448, we have to find the factors of both numbers and list the highest common factor.
The factors of 8022 are 1, 2, 3, 6, 7, 14, 21, 42, 191, 382, 573, 1146, 1337, 2674, 4011, 8022
The factors of 8448 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 528, 704, 768, 1056, 1408, 2112, 2816, 4224, 8448
The HCF of 8022,8448 is 6.
Lets's calculate GCF of 8022,8448
| 2 | 8022, 8448 |
| 3 | 4011, 4224 |
| 1337, 1408 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8022,8448 By Matching Biggest Common Factor Method
Now, list down the factors of 8022
:1,2,3,6,7,14,21,42,191,382,573,1146,1337,2674,4011,8022
Now, list down the factors of 8448
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,256,264,352,384,528,704,768,1056,1408,2112,2816,4224,8448
Greatest Common Factor
We found the factors 8022,8448 . The biggest common factor number is the GCF number.
So the greatest common factor 8022,8448 is 6.
Lets's calculate LCM of 976,5864
| 2 | 976, 5864 |
| 2 | 488, 2932 |
| 2 | 244, 1466 |
| 122, 733 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 122 x 733 = 715408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/715408
Therefore, the GCF of Fractions 8022/976,8448/5864 is 6/715408
Least Common Multiple of 976,5864 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 976,5864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,5864) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(976,5864) x common factors =8 x 1 = 8
LCM(976,5864) = ( 976 × 5864 ) / 8
LCM(976,5864) = 5723264 / 8
LCM(976,5864) = 715408
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8022/976, 8448/5864
1. What is the HCF of 8022,8448?
The HCF of 8022,8448 is 6
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 8022/976, 8448/5864?
Answer: GCF of Numerators as per given numbers 8022/976, 8448/5864 is
GCF of Numerators i.e. for 8022,8448 is 6
LCM of denominators i.e. for 976,5864 is 715408.
Thus, GCF of Fractions is 6/715408.Finally, GCF of Fractions for 8022/976, 8448/5864 is 6/715408.