GCF of 6511/798, 5796/7536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6511/798, 5796/7536 i.e 1/1002288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6511/798, 5796/7536.
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 6511/798,5796/7536?
Given fractions are 6511/798,5796/7536
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 6511/798,5796/7536, numerators are 6511,5796
Denominators are 798,7536
The GCF of 6511,5796 is 1 .
LCM of 798,7536 is 1002288.
The greatest common factor of 6511/798,5796/7536 = [GCF of 6511,5796]/[LCM of 798,7536]= 1/1002288
Therefore, the GCF of 6511/798,5796/7536 is 1/1002288.
To find the highest common factor of 6511,5796, we have to find the factors of both numbers and list the highest common factor.
The factors of 6511 are 1, 17, 383, 6511
The factors of 5796 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 23, 28, 36, 42, 46, 63, 69, 84, 92, 126, 138, 161, 207, 252, 276, 322, 414, 483, 644, 828, 966, 1449, 1932, 2898, 5796
The HCF of 6511,5796 is 1.
Lets's calculate GCF of 6511,5796
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6511,5796 By Matching Biggest Common Factor Method
Now, list down the factors of 6511
:1,17,383,6511
Now, list down the factors of 5796
:1,2,3,4,6,7,9,12,14,18,21,23,28,36,42,46,63,69,84,92,126,138,161,207,252,276,322,414,483,644,828,966,1449,1932,2898,5796
Greatest Common Factor
We found the factors 6511,5796 . The biggest common factor number is the GCF number.
So the greatest common factor 6511,5796 is 1.
Lets's calculate LCM of 798,7536
| 2 | 798, 7536 |
| 3 | 399, 3768 |
| 133, 1256 |
∴ So the LCM of the given numbers is 2 x 3 x 133 x 1256 = 1002288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1002288
Therefore, the GCF of Fractions 6511/798,5796/7536 is 1/1002288
Least Common Multiple of 798,7536 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 798,7536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,7536) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(798,7536) x common factors =6 x 1 = 6
LCM(798,7536) = ( 798 × 7536 ) / 6
LCM(798,7536) = 6013728 / 6
LCM(798,7536) = 1002288
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FAQs on GCF of Fractions of 6511/798, 5796/7536
1. What is the HCF of 6511,5796?
The HCF of 6511,5796 is 1
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 6511/798, 5796/7536?
Answer: GCF of Numerators as per given numbers 6511/798, 5796/7536 is
GCF of Numerators i.e. for 6511,5796 is 1
LCM of denominators i.e. for 798,7536 is 1002288.
Thus, GCF of Fractions is 1/1002288.Finally, GCF of Fractions for 6511/798, 5796/7536 is 1/1002288.