GCF of 2606/337, 3800/1749
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2606/337, 3800/1749 i.e 2/589413 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2606/337, 3800/1749.
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 2606/337,3800/1749?
Given fractions are 2606/337,3800/1749
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 2606/337,3800/1749, numerators are 2606,3800
Denominators are 337,1749
The GCF of 2606,3800 is 2 .
LCM of 337,1749 is 589413.
The greatest common factor of 2606/337,3800/1749 = [GCF of 2606,3800]/[LCM of 337,1749]= 2/589413
Therefore, the GCF of 2606/337,3800/1749 is 2/589413.
To find the highest common factor of 2606,3800, we have to find the factors of both numbers and list the highest common factor.
The factors of 2606 are 1, 2, 1303, 2606
The factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800
The HCF of 2606,3800 is 2.
Lets's calculate GCF of 2606,3800
| 2 | 2606, 3800 |
| 1303, 1900 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2606,3800 By Matching Biggest Common Factor Method
Now, list down the factors of 2606
:1,2,1303,2606
Now, list down the factors of 3800
:1,2,4,5,8,10,19,20,25,38,40,50,76,95,100,152,190,200,380,475,760,950,1900,3800
Greatest Common Factor
We found the factors 2606,3800 . The biggest common factor number is the GCF number.
So the greatest common factor 2606,3800 is 2.
Lets's calculate LCM of 337,1749
Given numbers has no common factors except 1. So, there LCM is their product i.e 589413
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/589413
Therefore, the GCF of Fractions 2606/337,3800/1749 is 2/589413
Least Common Multiple of 337,1749 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 337,1749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,1749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,1749) x common factors =1 x 1 = 1
LCM(337,1749) = ( 337 × 1749 ) / 1
LCM(337,1749) = 589413 / 1
LCM(337,1749) = 589413
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FAQs on GCF of Fractions of 2606/337, 3800/1749
1. What is the HCF of 2606,3800?
The HCF of 2606,3800 is 2
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 2606/337, 3800/1749?
Answer: GCF of Numerators as per given numbers 2606/337, 3800/1749 is
GCF of Numerators i.e. for 2606,3800 is 2
LCM of denominators i.e. for 337,1749 is 589413.
Thus, GCF of Fractions is 2/589413.Finally, GCF of Fractions for 2606/337, 3800/1749 is 2/589413.