GCF of 3011/407, 8843/3201
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3011/407, 8843/3201 i.e 1/118437 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3011/407, 8843/3201.
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 3011/407,8843/3201?
Given fractions are 3011/407,8843/3201
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 3011/407,8843/3201, numerators are 3011,8843
Denominators are 407,3201
The GCF of 3011,8843 is 1 .
LCM of 407,3201 is 118437.
The greatest common factor of 3011/407,8843/3201 = [GCF of 3011,8843]/[LCM of 407,3201]= 1/118437
Therefore, the GCF of 3011/407,8843/3201 is 1/118437.
To find the highest common factor of 3011,8843, we have to find the factors of both numbers and list the highest common factor.
The factors of 3011 are 1, 3011
The factors of 8843 are 1, 37, 239, 8843
The HCF of 3011,8843 is 1.
Lets's calculate GCF of 3011,8843
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3011,8843 By Matching Biggest Common Factor Method
Now, list down the factors of 3011
:1,3011
Now, list down the factors of 8843
:1,37,239,8843
Greatest Common Factor
We found the factors 3011,8843 . The biggest common factor number is the GCF number.
So the greatest common factor 3011,8843 is 1.
Lets's calculate LCM of 407,3201
| 11 | 407, 3201 |
| 37, 291 |
∴ So the LCM of the given numbers is 11 x 37 x 291 = 118437
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118437
Therefore, the GCF of Fractions 3011/407,8843/3201 is 1/118437
Least Common Multiple of 407,3201 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 407,3201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,3201) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(407,3201) x common factors =11 x 1 = 11
LCM(407,3201) = ( 407 × 3201 ) / 11
LCM(407,3201) = 1302807 / 11
LCM(407,3201) = 118437
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FAQs on GCF of Fractions of 3011/407, 8843/3201
1. What is the HCF of 3011,8843?
The HCF of 3011,8843 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 3011/407, 8843/3201?
Answer: GCF of Numerators as per given numbers 3011/407, 8843/3201 is
GCF of Numerators i.e. for 3011,8843 is 1
LCM of denominators i.e. for 407,3201 is 118437.
Thus, GCF of Fractions is 1/118437.Finally, GCF of Fractions for 3011/407, 8843/3201 is 1/118437.