GCF of 4002/186, 7569/857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4002/186, 7569/857 i.e 87/159402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4002/186, 7569/857.
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 4002/186,7569/857?
Given fractions are 4002/186,7569/857
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 4002/186,7569/857, numerators are 4002,7569
Denominators are 186,857
The GCF of 4002,7569 is 87 .
LCM of 186,857 is 159402.
The greatest common factor of 4002/186,7569/857 = [GCF of 4002,7569]/[LCM of 186,857]= 87/159402
Therefore, the GCF of 4002/186,7569/857 is 87/159402.
To find the highest common factor of 4002,7569, we have to find the factors of both numbers and list the highest common factor.
The factors of 4002 are 1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001, 4002
The factors of 7569 are 1, 3, 9, 29, 87, 261, 841, 2523, 7569
The HCF of 4002,7569 is 87.
Lets's calculate GCF of 4002,7569
| 3 | 4002, 7569 |
| 29 | 1334, 2523 |
| 46, 87 |
∴ So the GCF of the given numbers is 3 x 29 = 87
Greatest Common Factor of 4002,7569 By Matching Biggest Common Factor Method
Now, list down the factors of 4002
:1,2,3,6,23,29,46,58,69,87,138,174,667,1334,2001,4002
Now, list down the factors of 7569
:1,3,9,29,87,261,841,2523,7569
Greatest Common Factor
We found the factors 4002,7569 . The biggest common factor number is the GCF number.
So the greatest common factor 4002,7569 is 87.
Lets's calculate LCM of 186,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 159402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 87/159402
Therefore, the GCF of Fractions 4002/186,7569/857 is 87/159402
Least Common Multiple of 186,857 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 186,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(186,857) x common factors =1 x 1 = 1
LCM(186,857) = ( 186 × 857 ) / 1
LCM(186,857) = 159402 / 1
LCM(186,857) = 159402
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FAQs on GCF of Fractions of 4002/186, 7569/857
1. What is the HCF of 4002,7569?
The HCF of 4002,7569 is 87
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 4002/186, 7569/857?
Answer: GCF of Numerators as per given numbers 4002/186, 7569/857 is
GCF of Numerators i.e. for 4002,7569 is 87
LCM of denominators i.e. for 186,857 is 159402.
Thus, GCF of Fractions is 87/159402.Finally, GCF of Fractions for 4002/186, 7569/857 is 87/159402.