GCF of 5176/180, 4006/8175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5176/180, 4006/8175 i.e 2/98100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5176/180, 4006/8175.
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 5176/180,4006/8175?
Given fractions are 5176/180,4006/8175
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 5176/180,4006/8175, numerators are 5176,4006
Denominators are 180,8175
The GCF of 5176,4006 is 2 .
LCM of 180,8175 is 98100.
The greatest common factor of 5176/180,4006/8175 = [GCF of 5176,4006]/[LCM of 180,8175]= 2/98100
Therefore, the GCF of 5176/180,4006/8175 is 2/98100.
To find the highest common factor of 5176,4006, we have to find the factors of both numbers and list the highest common factor.
The factors of 5176 are 1, 2, 4, 8, 647, 1294, 2588, 5176
The factors of 4006 are 1, 2, 2003, 4006
The HCF of 5176,4006 is 2.
Lets's calculate GCF of 5176,4006
| 2 | 5176, 4006 |
| 2588, 2003 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5176,4006 By Matching Biggest Common Factor Method
Now, list down the factors of 5176
:1,2,4,8,647,1294,2588,5176
Now, list down the factors of 4006
:1,2,2003,4006
Greatest Common Factor
We found the factors 5176,4006 . The biggest common factor number is the GCF number.
So the greatest common factor 5176,4006 is 2.
Lets's calculate LCM of 180,8175
| 3 | 180, 8175 |
| 5 | 60, 2725 |
| 12, 545 |
∴ So the LCM of the given numbers is 3 x 5 x 12 x 545 = 98100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/98100
Therefore, the GCF of Fractions 5176/180,4006/8175 is 2/98100
Least Common Multiple of 180,8175 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 180,8175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,8175) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(180,8175) x common factors =15 x 1 = 15
LCM(180,8175) = ( 180 × 8175 ) / 15
LCM(180,8175) = 1471500 / 15
LCM(180,8175) = 98100
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FAQs on GCF of Fractions of 5176/180, 4006/8175
1. What is the HCF of 5176,4006?
The HCF of 5176,4006 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 5176/180, 4006/8175?
Answer: GCF of Numerators as per given numbers 5176/180, 4006/8175 is
GCF of Numerators i.e. for 5176,4006 is 2
LCM of denominators i.e. for 180,8175 is 98100.
Thus, GCF of Fractions is 2/98100.Finally, GCF of Fractions for 5176/180, 4006/8175 is 2/98100.