GCF of 4006/302, 1814/1613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4006/302, 1814/1613 i.e 2/487126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4006/302, 1814/1613.
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 4006/302,1814/1613?
Given fractions are 4006/302,1814/1613
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 4006/302,1814/1613, numerators are 4006,1814
Denominators are 302,1613
The GCF of 4006,1814 is 2 .
LCM of 302,1613 is 487126.
The greatest common factor of 4006/302,1814/1613 = [GCF of 4006,1814]/[LCM of 302,1613]= 2/487126
Therefore, the GCF of 4006/302,1814/1613 is 2/487126.
To find the highest common factor of 4006,1814, we have to find the factors of both numbers and list the highest common factor.
The factors of 4006 are 1, 2, 2003, 4006
The factors of 1814 are 1, 2, 907, 1814
The HCF of 4006,1814 is 2.
Lets's calculate GCF of 4006,1814
| 2 | 4006, 1814 |
| 2003, 907 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4006,1814 By Matching Biggest Common Factor Method
Now, list down the factors of 4006
:1,2,2003,4006
Now, list down the factors of 1814
:1,2,907,1814
Greatest Common Factor
We found the factors 4006,1814 . The biggest common factor number is the GCF number.
So the greatest common factor 4006,1814 is 2.
Lets's calculate LCM of 302,1613
Given numbers has no common factors except 1. So, there LCM is their product i.e 487126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/487126
Therefore, the GCF of Fractions 4006/302,1814/1613 is 2/487126
Least Common Multiple of 302,1613 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 302,1613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,1613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,1613) x common factors =1 x 1 = 1
LCM(302,1613) = ( 302 × 1613 ) / 1
LCM(302,1613) = 487126 / 1
LCM(302,1613) = 487126
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FAQs on GCF of Fractions of 4006/302, 1814/1613
1. What is the HCF of 4006,1814?
The HCF of 4006,1814 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 4006/302, 1814/1613?
Answer: GCF of Numerators as per given numbers 4006/302, 1814/1613 is
GCF of Numerators i.e. for 4006,1814 is 2
LCM of denominators i.e. for 302,1613 is 487126.
Thus, GCF of Fractions is 2/487126.Finally, GCF of Fractions for 4006/302, 1814/1613 is 2/487126.