GCF of 9826/873, 8192/6072
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9826/873, 8192/6072 i.e 2/1766952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9826/873, 8192/6072.
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 9826/873,8192/6072?
Given fractions are 9826/873,8192/6072
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 9826/873,8192/6072, numerators are 9826,8192
Denominators are 873,6072
The GCF of 9826,8192 is 2 .
LCM of 873,6072 is 1766952.
The greatest common factor of 9826/873,8192/6072 = [GCF of 9826,8192]/[LCM of 873,6072]= 2/1766952
Therefore, the GCF of 9826/873,8192/6072 is 2/1766952.
To find the highest common factor of 9826,8192, we have to find the factors of both numbers and list the highest common factor.
The factors of 9826 are 1, 2, 17, 34, 289, 578, 4913, 9826
The factors of 8192 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192
The HCF of 9826,8192 is 2.
Lets's calculate GCF of 9826,8192
| 2 | 9826, 8192 |
| 4913, 4096 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9826,8192 By Matching Biggest Common Factor Method
Now, list down the factors of 9826
:1,2,17,34,289,578,4913,9826
Now, list down the factors of 8192
:1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192
Greatest Common Factor
We found the factors 9826,8192 . The biggest common factor number is the GCF number.
So the greatest common factor 9826,8192 is 2.
Lets's calculate LCM of 873,6072
| 3 | 873, 6072 |
| 291, 2024 |
∴ So the LCM of the given numbers is 3 x 291 x 2024 = 1766952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1766952
Therefore, the GCF of Fractions 9826/873,8192/6072 is 2/1766952
Least Common Multiple of 873,6072 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 873,6072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,6072) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(873,6072) x common factors =3 x 1 = 3
LCM(873,6072) = ( 873 × 6072 ) / 3
LCM(873,6072) = 5300856 / 3
LCM(873,6072) = 1766952
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FAQs on GCF of Fractions of 9826/873, 8192/6072
1. What is the HCF of 9826,8192?
The HCF of 9826,8192 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 9826/873, 8192/6072?
Answer: GCF of Numerators as per given numbers 9826/873, 8192/6072 is
GCF of Numerators i.e. for 9826,8192 is 2
LCM of denominators i.e. for 873,6072 is 1766952.
Thus, GCF of Fractions is 2/1766952.Finally, GCF of Fractions for 9826/873, 8192/6072 is 2/1766952.