GCF of 5816/512, 8432/9364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5816/512, 8432/9364 i.e 8/1198592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5816/512, 8432/9364.
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 5816/512,8432/9364?
Given fractions are 5816/512,8432/9364
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 5816/512,8432/9364, numerators are 5816,8432
Denominators are 512,9364
The GCF of 5816,8432 is 8 .
LCM of 512,9364 is 1198592.
The greatest common factor of 5816/512,8432/9364 = [GCF of 5816,8432]/[LCM of 512,9364]= 8/1198592
Therefore, the GCF of 5816/512,8432/9364 is 8/1198592.
To find the highest common factor of 5816,8432, we have to find the factors of both numbers and list the highest common factor.
The factors of 5816 are 1, 2, 4, 8, 727, 1454, 2908, 5816
The factors of 8432 are 1, 2, 4, 8, 16, 17, 31, 34, 62, 68, 124, 136, 248, 272, 496, 527, 1054, 2108, 4216, 8432
The HCF of 5816,8432 is 8.
Lets's calculate GCF of 5816,8432
| 2 | 5816, 8432 |
| 2 | 2908, 4216 |
| 2 | 1454, 2108 |
| 727, 1054 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5816,8432 By Matching Biggest Common Factor Method
Now, list down the factors of 5816
:1,2,4,8,727,1454,2908,5816
Now, list down the factors of 8432
:1,2,4,8,16,17,31,34,62,68,124,136,248,272,496,527,1054,2108,4216,8432
Greatest Common Factor
We found the factors 5816,8432 . The biggest common factor number is the GCF number.
So the greatest common factor 5816,8432 is 8.
Lets's calculate LCM of 512,9364
| 2 | 512, 9364 |
| 2 | 256, 4682 |
| 128, 2341 |
∴ So the LCM of the given numbers is 2 x 2 x 128 x 2341 = 1198592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1198592
Therefore, the GCF of Fractions 5816/512,8432/9364 is 8/1198592
Least Common Multiple of 512,9364 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 512,9364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,9364) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(512,9364) x common factors =4 x 1 = 4
LCM(512,9364) = ( 512 × 9364 ) / 4
LCM(512,9364) = 4794368 / 4
LCM(512,9364) = 1198592
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FAQs on GCF of Fractions of 5816/512, 8432/9364
1. What is the HCF of 5816,8432?
The HCF of 5816,8432 is 8
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 5816/512, 8432/9364?
Answer: GCF of Numerators as per given numbers 5816/512, 8432/9364 is
GCF of Numerators i.e. for 5816,8432 is 8
LCM of denominators i.e. for 512,9364 is 1198592.
Thus, GCF of Fractions is 8/1198592.Finally, GCF of Fractions for 5816/512, 8432/9364 is 8/1198592.