GCF of 2998/145, 4036/4109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2998/145, 4036/4109 i.e 2/595805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2998/145, 4036/4109.
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 2998/145,4036/4109?
Given fractions are 2998/145,4036/4109
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 2998/145,4036/4109, numerators are 2998,4036
Denominators are 145,4109
The GCF of 2998,4036 is 2 .
LCM of 145,4109 is 595805.
The greatest common factor of 2998/145,4036/4109 = [GCF of 2998,4036]/[LCM of 145,4109]= 2/595805
Therefore, the GCF of 2998/145,4036/4109 is 2/595805.
To find the highest common factor of 2998,4036, we have to find the factors of both numbers and list the highest common factor.
The factors of 2998 are 1, 2, 1499, 2998
The factors of 4036 are 1, 2, 4, 1009, 2018, 4036
The HCF of 2998,4036 is 2.
Lets's calculate GCF of 2998,4036
| 2 | 2998, 4036 |
| 1499, 2018 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2998,4036 By Matching Biggest Common Factor Method
Now, list down the factors of 2998
:1,2,1499,2998
Now, list down the factors of 4036
:1,2,4,1009,2018,4036
Greatest Common Factor
We found the factors 2998,4036 . The biggest common factor number is the GCF number.
So the greatest common factor 2998,4036 is 2.
Lets's calculate LCM of 145,4109
Given numbers has no common factors except 1. So, there LCM is their product i.e 595805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/595805
Therefore, the GCF of Fractions 2998/145,4036/4109 is 2/595805
Least Common Multiple of 145,4109 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 145,4109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,4109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,4109) x common factors =1 x 1 = 1
LCM(145,4109) = ( 145 × 4109 ) / 1
LCM(145,4109) = 595805 / 1
LCM(145,4109) = 595805
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FAQs on GCF of Fractions of 2998/145, 4036/4109
1. What is the HCF of 2998,4036?
The HCF of 2998,4036 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 2998/145, 4036/4109?
Answer: GCF of Numerators as per given numbers 2998/145, 4036/4109 is
GCF of Numerators i.e. for 2998,4036 is 2
LCM of denominators i.e. for 145,4109 is 595805.
Thus, GCF of Fractions is 2/595805.Finally, GCF of Fractions for 2998/145, 4036/4109 is 2/595805.