GCF of 5424/143, 8096/818
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5424/143, 8096/818 i.e 16/116974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5424/143, 8096/818.
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 5424/143,8096/818?
Given fractions are 5424/143,8096/818
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 5424/143,8096/818, numerators are 5424,8096
Denominators are 143,818
The GCF of 5424,8096 is 16 .
LCM of 143,818 is 116974.
The greatest common factor of 5424/143,8096/818 = [GCF of 5424,8096]/[LCM of 143,818]= 16/116974
Therefore, the GCF of 5424/143,8096/818 is 16/116974.
To find the highest common factor of 5424,8096, we have to find the factors of both numbers and list the highest common factor.
The factors of 5424 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424
The factors of 8096 are 1, 2, 4, 8, 11, 16, 22, 23, 32, 44, 46, 88, 92, 176, 184, 253, 352, 368, 506, 736, 1012, 2024, 4048, 8096
The HCF of 5424,8096 is 16.
Lets's calculate GCF of 5424,8096
| 2 | 5424, 8096 |
| 2 | 2712, 4048 |
| 2 | 1356, 2024 |
| 2 | 678, 1012 |
| 339, 506 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 5424,8096 By Matching Biggest Common Factor Method
Now, list down the factors of 5424
:1,2,3,4,6,8,12,16,24,48,113,226,339,452,678,904,1356,1808,2712,5424
Now, list down the factors of 8096
:1,2,4,8,11,16,22,23,32,44,46,88,92,176,184,253,352,368,506,736,1012,2024,4048,8096
Greatest Common Factor
We found the factors 5424,8096 . The biggest common factor number is the GCF number.
So the greatest common factor 5424,8096 is 16.
Lets's calculate LCM of 143,818
Given numbers has no common factors except 1. So, there LCM is their product i.e 116974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/116974
Therefore, the GCF of Fractions 5424/143,8096/818 is 16/116974
Least Common Multiple of 143,818 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 143,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,818) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,818) x common factors =1 x 1 = 1
LCM(143,818) = ( 143 × 818 ) / 1
LCM(143,818) = 116974 / 1
LCM(143,818) = 116974
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FAQs on GCF of Fractions of 5424/143, 8096/818
1. What is the HCF of 5424,8096?
The HCF of 5424,8096 is 16
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 5424/143, 8096/818?
Answer: GCF of Numerators as per given numbers 5424/143, 8096/818 is
GCF of Numerators i.e. for 5424,8096 is 16
LCM of denominators i.e. for 143,818 is 116974.
Thus, GCF of Fractions is 16/116974.Finally, GCF of Fractions for 5424/143, 8096/818 is 16/116974.