GCF of 5933/257, 2176/2681
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5933/257, 2176/2681 i.e 17/689017 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5933/257, 2176/2681.
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 5933/257,2176/2681?
Given fractions are 5933/257,2176/2681
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 5933/257,2176/2681, numerators are 5933,2176
Denominators are 257,2681
The GCF of 5933,2176 is 17 .
LCM of 257,2681 is 689017.
The greatest common factor of 5933/257,2176/2681 = [GCF of 5933,2176]/[LCM of 257,2681]= 17/689017
Therefore, the GCF of 5933/257,2176/2681 is 17/689017.
To find the highest common factor of 5933,2176, we have to find the factors of both numbers and list the highest common factor.
The factors of 5933 are 1, 17, 349, 5933
The factors of 2176 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176
The HCF of 5933,2176 is 17.
Lets's calculate GCF of 5933,2176
| 17 | 5933, 2176 |
| 349, 128 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 5933,2176 By Matching Biggest Common Factor Method
Now, list down the factors of 5933
:1,17,349,5933
Now, list down the factors of 2176
:1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176
Greatest Common Factor
We found the factors 5933,2176 . The biggest common factor number is the GCF number.
So the greatest common factor 5933,2176 is 17.
Lets's calculate LCM of 257,2681
Given numbers has no common factors except 1. So, there LCM is their product i.e 689017
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/689017
Therefore, the GCF of Fractions 5933/257,2176/2681 is 17/689017
Least Common Multiple of 257,2681 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 257,2681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,2681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,2681) x common factors =1 x 1 = 1
LCM(257,2681) = ( 257 × 2681 ) / 1
LCM(257,2681) = 689017 / 1
LCM(257,2681) = 689017
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FAQs on GCF of Fractions of 5933/257, 2176/2681
1. What is the HCF of 5933,2176?
The HCF of 5933,2176 is 17
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 5933/257, 2176/2681?
Answer: GCF of Numerators as per given numbers 5933/257, 2176/2681 is
GCF of Numerators i.e. for 5933,2176 is 17
LCM of denominators i.e. for 257,2681 is 689017.
Thus, GCF of Fractions is 17/689017.Finally, GCF of Fractions for 5933/257, 2176/2681 is 17/689017.