GCF of 5750/182, 6006/7179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5750/182, 6006/7179 i.e 2/1306578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5750/182, 6006/7179.
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 5750/182,6006/7179?
Given fractions are 5750/182,6006/7179
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 5750/182,6006/7179, numerators are 5750,6006
Denominators are 182,7179
The GCF of 5750,6006 is 2 .
LCM of 182,7179 is 1306578.
The greatest common factor of 5750/182,6006/7179 = [GCF of 5750,6006]/[LCM of 182,7179]= 2/1306578
Therefore, the GCF of 5750/182,6006/7179 is 2/1306578.
To find the highest common factor of 5750,6006, we have to find the factors of both numbers and list the highest common factor.
The factors of 5750 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 125, 230, 250, 575, 1150, 2875, 5750
The factors of 6006 are 1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 143, 154, 182, 231, 273, 286, 429, 462, 546, 858, 1001, 2002, 3003, 6006
The HCF of 5750,6006 is 2.
Lets's calculate GCF of 5750,6006
| 2 | 5750, 6006 |
| 2875, 3003 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5750,6006 By Matching Biggest Common Factor Method
Now, list down the factors of 5750
:1,2,5,10,23,25,46,50,115,125,230,250,575,1150,2875,5750
Now, list down the factors of 6006
:1,2,3,6,7,11,13,14,21,22,26,33,39,42,66,77,78,91,143,154,182,231,273,286,429,462,546,858,1001,2002,3003,6006
Greatest Common Factor
We found the factors 5750,6006 . The biggest common factor number is the GCF number.
So the greatest common factor 5750,6006 is 2.
Lets's calculate LCM of 182,7179
Given numbers has no common factors except 1. So, there LCM is their product i.e 1306578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1306578
Therefore, the GCF of Fractions 5750/182,6006/7179 is 2/1306578
Least Common Multiple of 182,7179 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 182,7179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,7179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(182,7179) x common factors =1 x 1 = 1
LCM(182,7179) = ( 182 × 7179 ) / 1
LCM(182,7179) = 1306578 / 1
LCM(182,7179) = 1306578
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FAQs on GCF of Fractions of 5750/182, 6006/7179
1. What is the HCF of 5750,6006?
The HCF of 5750,6006 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 5750/182, 6006/7179?
Answer: GCF of Numerators as per given numbers 5750/182, 6006/7179 is
GCF of Numerators i.e. for 5750,6006 is 2
LCM of denominators i.e. for 182,7179 is 1306578.
Thus, GCF of Fractions is 2/1306578.Finally, GCF of Fractions for 5750/182, 6006/7179 is 2/1306578.