GCF of 1686/617, 6336/4429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1686/617, 6336/4429 i.e 6/2732693 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1686/617, 6336/4429.
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 1686/617,6336/4429?
Given fractions are 1686/617,6336/4429
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 1686/617,6336/4429, numerators are 1686,6336
Denominators are 617,4429
The GCF of 1686,6336 is 6 .
LCM of 617,4429 is 2732693.
The greatest common factor of 1686/617,6336/4429 = [GCF of 1686,6336]/[LCM of 617,4429]= 6/2732693
Therefore, the GCF of 1686/617,6336/4429 is 6/2732693.
To find the highest common factor of 1686,6336, we have to find the factors of both numbers and list the highest common factor.
The factors of 1686 are 1, 2, 3, 6, 281, 562, 843, 1686
The factors of 6336 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 132, 144, 176, 192, 198, 264, 288, 352, 396, 528, 576, 704, 792, 1056, 1584, 2112, 3168, 6336
The HCF of 1686,6336 is 6.
Lets's calculate GCF of 1686,6336
| 2 | 1686, 6336 |
| 3 | 843, 3168 |
| 281, 1056 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1686,6336 By Matching Biggest Common Factor Method
Now, list down the factors of 1686
:1,2,3,6,281,562,843,1686
Now, list down the factors of 6336
:1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,64,66,72,88,96,99,132,144,176,192,198,264,288,352,396,528,576,704,792,1056,1584,2112,3168,6336
Greatest Common Factor
We found the factors 1686,6336 . The biggest common factor number is the GCF number.
So the greatest common factor 1686,6336 is 6.
Lets's calculate LCM of 617,4429
Given numbers has no common factors except 1. So, there LCM is their product i.e 2732693
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2732693
Therefore, the GCF of Fractions 1686/617,6336/4429 is 6/2732693
Least Common Multiple of 617,4429 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 617,4429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,4429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,4429) x common factors =1 x 1 = 1
LCM(617,4429) = ( 617 × 4429 ) / 1
LCM(617,4429) = 2732693 / 1
LCM(617,4429) = 2732693
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FAQs on GCF of Fractions of 1686/617, 6336/4429
1. What is the HCF of 1686,6336?
The HCF of 1686,6336 is 6
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 1686/617, 6336/4429?
Answer: GCF of Numerators as per given numbers 1686/617, 6336/4429 is
GCF of Numerators i.e. for 1686,6336 is 6
LCM of denominators i.e. for 617,4429 is 2732693.
Thus, GCF of Fractions is 6/2732693.Finally, GCF of Fractions for 1686/617, 6336/4429 is 6/2732693.