GCF of 5559/759, 6851/6016
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5559/759, 6851/6016 i.e 17/4566144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5559/759, 6851/6016.
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 5559/759,6851/6016?
Given fractions are 5559/759,6851/6016
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 5559/759,6851/6016, numerators are 5559,6851
Denominators are 759,6016
The GCF of 5559,6851 is 17 .
LCM of 759,6016 is 4566144.
The greatest common factor of 5559/759,6851/6016 = [GCF of 5559,6851]/[LCM of 759,6016]= 17/4566144
Therefore, the GCF of 5559/759,6851/6016 is 17/4566144.
To find the highest common factor of 5559,6851, we have to find the factors of both numbers and list the highest common factor.
The factors of 5559 are 1, 3, 17, 51, 109, 327, 1853, 5559
The factors of 6851 are 1, 13, 17, 31, 221, 403, 527, 6851
The HCF of 5559,6851 is 17.
Lets's calculate GCF of 5559,6851
| 17 | 5559, 6851 |
| 327, 403 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 5559,6851 By Matching Biggest Common Factor Method
Now, list down the factors of 5559
:1,3,17,51,109,327,1853,5559
Now, list down the factors of 6851
:1,13,17,31,221,403,527,6851
Greatest Common Factor
We found the factors 5559,6851 . The biggest common factor number is the GCF number.
So the greatest common factor 5559,6851 is 17.
Lets's calculate LCM of 759,6016
Given numbers has no common factors except 1. So, there LCM is their product i.e 4566144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/4566144
Therefore, the GCF of Fractions 5559/759,6851/6016 is 17/4566144
Least Common Multiple of 759,6016 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 759,6016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,6016) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(759,6016) x common factors =1 x 1 = 1
LCM(759,6016) = ( 759 × 6016 ) / 1
LCM(759,6016) = 4566144 / 1
LCM(759,6016) = 4566144
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FAQs on GCF of Fractions of 5559/759, 6851/6016
1. What is the HCF of 5559,6851?
The HCF of 5559,6851 is 17
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 5559/759, 6851/6016?
Answer: GCF of Numerators as per given numbers 5559/759, 6851/6016 is
GCF of Numerators i.e. for 5559,6851 is 17
LCM of denominators i.e. for 759,6016 is 4566144.
Thus, GCF of Fractions is 17/4566144.Finally, GCF of Fractions for 5559/759, 6851/6016 is 17/4566144.