GCF of 3487/447, 2006/6585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3487/447, 2006/6585 i.e 1/981165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3487/447, 2006/6585.
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 3487/447,2006/6585?
Given fractions are 3487/447,2006/6585
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 3487/447,2006/6585, numerators are 3487,2006
Denominators are 447,6585
The GCF of 3487,2006 is 1 .
LCM of 447,6585 is 981165.
The greatest common factor of 3487/447,2006/6585 = [GCF of 3487,2006]/[LCM of 447,6585]= 1/981165
Therefore, the GCF of 3487/447,2006/6585 is 1/981165.
To find the highest common factor of 3487,2006, we have to find the factors of both numbers and list the highest common factor.
The factors of 3487 are 1, 11, 317, 3487
The factors of 2006 are 1, 2, 17, 34, 59, 118, 1003, 2006
The HCF of 3487,2006 is 1.
Lets's calculate GCF of 3487,2006
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3487,2006 By Matching Biggest Common Factor Method
Now, list down the factors of 3487
:1,11,317,3487
Now, list down the factors of 2006
:1,2,17,34,59,118,1003,2006
Greatest Common Factor
We found the factors 3487,2006 . The biggest common factor number is the GCF number.
So the greatest common factor 3487,2006 is 1.
Lets's calculate LCM of 447,6585
| 3 | 447, 6585 |
| 149, 2195 |
∴ So the LCM of the given numbers is 3 x 149 x 2195 = 981165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/981165
Therefore, the GCF of Fractions 3487/447,2006/6585 is 1/981165
Least Common Multiple of 447,6585 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 447,6585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,6585) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(447,6585) x common factors =3 x 1 = 3
LCM(447,6585) = ( 447 × 6585 ) / 3
LCM(447,6585) = 2943495 / 3
LCM(447,6585) = 981165
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FAQs on GCF of Fractions of 3487/447, 2006/6585
1. What is the HCF of 3487,2006?
The HCF of 3487,2006 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 3487/447, 2006/6585?
Answer: GCF of Numerators as per given numbers 3487/447, 2006/6585 is
GCF of Numerators i.e. for 3487,2006 is 1
LCM of denominators i.e. for 447,6585 is 981165.
Thus, GCF of Fractions is 1/981165.Finally, GCF of Fractions for 3487/447, 2006/6585 is 1/981165.