GCF of 2002/406, 6877/5137
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2002/406, 6877/5137 i.e 13/2085622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2002/406, 6877/5137.
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 2002/406,6877/5137?
Given fractions are 2002/406,6877/5137
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 2002/406,6877/5137, numerators are 2002,6877
Denominators are 406,5137
The GCF of 2002,6877 is 13 .
LCM of 406,5137 is 2085622.
The greatest common factor of 2002/406,6877/5137 = [GCF of 2002,6877]/[LCM of 406,5137]= 13/2085622
Therefore, the GCF of 2002/406,6877/5137 is 13/2085622.
To find the highest common factor of 2002,6877, we have to find the factors of both numbers and list the highest common factor.
The factors of 2002 are 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002
The factors of 6877 are 1, 13, 23, 299, 529, 6877
The HCF of 2002,6877 is 13.
Lets's calculate GCF of 2002,6877
| 13 | 2002, 6877 |
| 154, 529 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 2002,6877 By Matching Biggest Common Factor Method
Now, list down the factors of 2002
:1,2,7,11,13,14,22,26,77,91,143,154,182,286,1001,2002
Now, list down the factors of 6877
:1,13,23,299,529,6877
Greatest Common Factor
We found the factors 2002,6877 . The biggest common factor number is the GCF number.
So the greatest common factor 2002,6877 is 13.
Lets's calculate LCM of 406,5137
Given numbers has no common factors except 1. So, there LCM is their product i.e 2085622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2085622
Therefore, the GCF of Fractions 2002/406,6877/5137 is 13/2085622
Least Common Multiple of 406,5137 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 406,5137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,5137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(406,5137) x common factors =1 x 1 = 1
LCM(406,5137) = ( 406 × 5137 ) / 1
LCM(406,5137) = 2085622 / 1
LCM(406,5137) = 2085622
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FAQs on GCF of Fractions of 2002/406, 6877/5137
1. What is the HCF of 2002,6877?
The HCF of 2002,6877 is 13
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 2002/406, 6877/5137?
Answer: GCF of Numerators as per given numbers 2002/406, 6877/5137 is
GCF of Numerators i.e. for 2002,6877 is 13
LCM of denominators i.e. for 406,5137 is 2085622.
Thus, GCF of Fractions is 13/2085622.Finally, GCF of Fractions for 2002/406, 6877/5137 is 13/2085622.