GCF of 4002/43, 3149/825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4002/43, 3149/825 i.e 1/35475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4002/43, 3149/825.
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 4002/43,3149/825?
Given fractions are 4002/43,3149/825
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 4002/43,3149/825, numerators are 4002,3149
Denominators are 43,825
The GCF of 4002,3149 is 1 .
LCM of 43,825 is 35475.
The greatest common factor of 4002/43,3149/825 = [GCF of 4002,3149]/[LCM of 43,825]= 1/35475
Therefore, the GCF of 4002/43,3149/825 is 1/35475.
To find the highest common factor of 4002,3149, we have to find the factors of both numbers and list the highest common factor.
The factors of 4002 are 1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001, 4002
The factors of 3149 are 1, 47, 67, 3149
The HCF of 4002,3149 is 1.
Lets's calculate GCF of 4002,3149
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4002,3149 By Matching Biggest Common Factor Method
Now, list down the factors of 4002
:1,2,3,6,23,29,46,58,69,87,138,174,667,1334,2001,4002
Now, list down the factors of 3149
:1,47,67,3149
Greatest Common Factor
We found the factors 4002,3149 . The biggest common factor number is the GCF number.
So the greatest common factor 4002,3149 is 1.
Lets's calculate LCM of 43,825
Given numbers has no common factors except 1. So, there LCM is their product i.e 35475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35475
Therefore, the GCF of Fractions 4002/43,3149/825 is 1/35475
Least Common Multiple of 43,825 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 43,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,825) x common factors =1 x 1 = 1
LCM(43,825) = ( 43 × 825 ) / 1
LCM(43,825) = 35475 / 1
LCM(43,825) = 35475
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FAQs on GCF of Fractions of 4002/43, 3149/825
1. What is the HCF of 4002,3149?
The HCF of 4002,3149 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 4002/43, 3149/825?
Answer: GCF of Numerators as per given numbers 4002/43, 3149/825 is
GCF of Numerators i.e. for 4002,3149 is 1
LCM of denominators i.e. for 43,825 is 35475.
Thus, GCF of Fractions is 1/35475.Finally, GCF of Fractions for 4002/43, 3149/825 is 1/35475.