GCF of 1628/436, 3393/1707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1628/436, 3393/1707 i.e 1/744252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1628/436, 3393/1707.
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 1628/436,3393/1707?
Given fractions are 1628/436,3393/1707
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 1628/436,3393/1707, numerators are 1628,3393
Denominators are 436,1707
The GCF of 1628,3393 is 1 .
LCM of 436,1707 is 744252.
The greatest common factor of 1628/436,3393/1707 = [GCF of 1628,3393]/[LCM of 436,1707]= 1/744252
Therefore, the GCF of 1628/436,3393/1707 is 1/744252.
To find the highest common factor of 1628,3393, we have to find the factors of both numbers and list the highest common factor.
The factors of 1628 are 1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814, 1628
The factors of 3393 are 1, 3, 9, 13, 29, 39, 87, 117, 261, 377, 1131, 3393
The HCF of 1628,3393 is 1.
Lets's calculate GCF of 1628,3393
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1628,3393 By Matching Biggest Common Factor Method
Now, list down the factors of 1628
:1,2,4,11,22,37,44,74,148,407,814,1628
Now, list down the factors of 3393
:1,3,9,13,29,39,87,117,261,377,1131,3393
Greatest Common Factor
We found the factors 1628,3393 . The biggest common factor number is the GCF number.
So the greatest common factor 1628,3393 is 1.
Lets's calculate LCM of 436,1707
Given numbers has no common factors except 1. So, there LCM is their product i.e 744252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/744252
Therefore, the GCF of Fractions 1628/436,3393/1707 is 1/744252
Least Common Multiple of 436,1707 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 436,1707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,1707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(436,1707) x common factors =1 x 1 = 1
LCM(436,1707) = ( 436 × 1707 ) / 1
LCM(436,1707) = 744252 / 1
LCM(436,1707) = 744252
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FAQs on GCF of Fractions of 1628/436, 3393/1707
1. What is the HCF of 1628,3393?
The HCF of 1628,3393 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 1628/436, 3393/1707?
Answer: GCF of Numerators as per given numbers 1628/436, 3393/1707 is
GCF of Numerators i.e. for 1628,3393 is 1
LCM of denominators i.e. for 436,1707 is 744252.
Thus, GCF of Fractions is 1/744252.Finally, GCF of Fractions for 1628/436, 3393/1707 is 1/744252.