GCF of 4026/188, 3137/5355
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4026/188, 3137/5355 i.e 1/1006740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4026/188, 3137/5355.
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 4026/188,3137/5355?
Given fractions are 4026/188,3137/5355
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 4026/188,3137/5355, numerators are 4026,3137
Denominators are 188,5355
The GCF of 4026,3137 is 1 .
LCM of 188,5355 is 1006740.
The greatest common factor of 4026/188,3137/5355 = [GCF of 4026,3137]/[LCM of 188,5355]= 1/1006740
Therefore, the GCF of 4026/188,3137/5355 is 1/1006740.
To find the highest common factor of 4026,3137, we have to find the factors of both numbers and list the highest common factor.
The factors of 4026 are 1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026
The factors of 3137 are 1, 3137
The HCF of 4026,3137 is 1.
Lets's calculate GCF of 4026,3137
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4026,3137 By Matching Biggest Common Factor Method
Now, list down the factors of 4026
:1,2,3,6,11,22,33,61,66,122,183,366,671,1342,2013,4026
Now, list down the factors of 3137
:1,3137
Greatest Common Factor
We found the factors 4026,3137 . The biggest common factor number is the GCF number.
So the greatest common factor 4026,3137 is 1.
Lets's calculate LCM of 188,5355
Given numbers has no common factors except 1. So, there LCM is their product i.e 1006740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1006740
Therefore, the GCF of Fractions 4026/188,3137/5355 is 1/1006740
Least Common Multiple of 188,5355 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 188,5355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,5355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(188,5355) x common factors =1 x 1 = 1
LCM(188,5355) = ( 188 × 5355 ) / 1
LCM(188,5355) = 1006740 / 1
LCM(188,5355) = 1006740
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FAQs on GCF of Fractions of 4026/188, 3137/5355
1. What is the HCF of 4026,3137?
The HCF of 4026,3137 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 4026/188, 3137/5355?
Answer: GCF of Numerators as per given numbers 4026/188, 3137/5355 is
GCF of Numerators i.e. for 4026,3137 is 1
LCM of denominators i.e. for 188,5355 is 1006740.
Thus, GCF of Fractions is 1/1006740.Finally, GCF of Fractions for 4026/188, 3137/5355 is 1/1006740.