GCF of 1656/414, 5559/6576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1656/414, 5559/6576 i.e 3/453744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1656/414, 5559/6576.
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 1656/414,5559/6576?
Given fractions are 1656/414,5559/6576
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 1656/414,5559/6576, numerators are 1656,5559
Denominators are 414,6576
The GCF of 1656,5559 is 3 .
LCM of 414,6576 is 453744.
The greatest common factor of 1656/414,5559/6576 = [GCF of 1656,5559]/[LCM of 414,6576]= 3/453744
Therefore, the GCF of 1656/414,5559/6576 is 3/453744.
To find the highest common factor of 1656,5559, we have to find the factors of both numbers and list the highest common factor.
The factors of 1656 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 69, 72, 92, 138, 184, 207, 276, 414, 552, 828, 1656
The factors of 5559 are 1, 3, 17, 51, 109, 327, 1853, 5559
The HCF of 1656,5559 is 3.
Lets's calculate GCF of 1656,5559
| 3 | 1656, 5559 |
| 552, 1853 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1656,5559 By Matching Biggest Common Factor Method
Now, list down the factors of 1656
:1,2,3,4,6,8,9,12,18,23,24,36,46,69,72,92,138,184,207,276,414,552,828,1656
Now, list down the factors of 5559
:1,3,17,51,109,327,1853,5559
Greatest Common Factor
We found the factors 1656,5559 . The biggest common factor number is the GCF number.
So the greatest common factor 1656,5559 is 3.
Lets's calculate LCM of 414,6576
| 2 | 414, 6576 |
| 3 | 207, 3288 |
| 69, 1096 |
∴ So the LCM of the given numbers is 2 x 3 x 69 x 1096 = 453744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/453744
Therefore, the GCF of Fractions 1656/414,5559/6576 is 3/453744
Least Common Multiple of 414,6576 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 414,6576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,6576) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(414,6576) x common factors =6 x 1 = 6
LCM(414,6576) = ( 414 × 6576 ) / 6
LCM(414,6576) = 2722464 / 6
LCM(414,6576) = 453744
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FAQs on GCF of Fractions of 1656/414, 5559/6576
1. What is the HCF of 1656,5559?
The HCF of 1656,5559 is 3
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 1656/414, 5559/6576?
Answer: GCF of Numerators as per given numbers 1656/414, 5559/6576 is
GCF of Numerators i.e. for 1656,5559 is 3
LCM of denominators i.e. for 414,6576 is 453744.
Thus, GCF of Fractions is 3/453744.Finally, GCF of Fractions for 1656/414, 5559/6576 is 3/453744.