GCF of 8048/539, 5816/264
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8048/539, 5816/264 i.e 8/12936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8048/539, 5816/264.
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 8048/539,5816/264?
Given fractions are 8048/539,5816/264
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 8048/539,5816/264, numerators are 8048,5816
Denominators are 539,264
The GCF of 8048,5816 is 8 .
LCM of 539,264 is 12936.
The greatest common factor of 8048/539,5816/264 = [GCF of 8048,5816]/[LCM of 539,264]= 8/12936
Therefore, the GCF of 8048/539,5816/264 is 8/12936.
To find the highest common factor of 8048,5816, we have to find the factors of both numbers and list the highest common factor.
The factors of 8048 are 1, 2, 4, 8, 16, 503, 1006, 2012, 4024, 8048
The factors of 5816 are 1, 2, 4, 8, 727, 1454, 2908, 5816
The HCF of 8048,5816 is 8.
Lets's calculate GCF of 8048,5816
| 2 | 8048, 5816 |
| 2 | 4024, 2908 |
| 2 | 2012, 1454 |
| 1006, 727 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8048,5816 By Matching Biggest Common Factor Method
Now, list down the factors of 8048
:1,2,4,8,16,503,1006,2012,4024,8048
Now, list down the factors of 5816
:1,2,4,8,727,1454,2908,5816
Greatest Common Factor
We found the factors 8048,5816 . The biggest common factor number is the GCF number.
So the greatest common factor 8048,5816 is 8.
Lets's calculate LCM of 539,264
| 11 | 539, 264 |
| 49, 24 |
∴ So the LCM of the given numbers is 11 x 49 x 24 = 12936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/12936
Therefore, the GCF of Fractions 8048/539,5816/264 is 8/12936
Least Common Multiple of 539,264 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 539,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,264) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(539,264) x common factors =11 x 1 = 11
LCM(539,264) = ( 539 × 264 ) / 11
LCM(539,264) = 142296 / 11
LCM(539,264) = 12936
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FAQs on GCF of Fractions of 8048/539, 5816/264
1. What is the HCF of 8048,5816?
The HCF of 8048,5816 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 8048/539, 5816/264?
Answer: GCF of Numerators as per given numbers 8048/539, 5816/264 is
GCF of Numerators i.e. for 8048,5816 is 8
LCM of denominators i.e. for 539,264 is 12936.
Thus, GCF of Fractions is 8/12936.Finally, GCF of Fractions for 8048/539, 5816/264 is 8/12936.