How to Find GCF of 4165/376, 8041/7683?

GCF of 4165/376, 8041/7683

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 4165/376, 8041/7683 i.e 17/2888808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4165/376, 8041/7683.

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 4165/376,8041/7683?

Given fractions are 4165/376,8041/7683

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 4165/376,8041/7683, numerators are 4165,8041

Denominators are 376,7683

The GCF of 4165,8041 is 17 .

LCM of 376,7683 is 2888808.

The greatest common factor of 4165/376,8041/7683 = [GCF of 4165,8041]/[LCM of 376,7683]= 17/2888808

Therefore, the GCF of 4165/376,8041/7683 is 17/2888808.

Greatest Common Factor of 4165,8041

To find the highest common factor of 4165,8041, we have to find the factors of both numbers and list the highest common factor.

The factors of 4165 are 1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165

The factors of 8041 are 1, 11, 17, 43, 187, 473, 731, 8041

The HCF of 4165,8041 is 17.

Lets's calculate GCF of 4165,8041

Greatest Common Factor (GCF) of 4165,8041 By Common Division

17	4165, 8041
	245, 473

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 4165,8041 By Matching Biggest Common Factor Method

Now, list down the factors of 4165

1,5,7,17,35,49,85,119,245,595,833,4165

Now, list down the factors of 8041

1,11,17,43,187,473,731,8041

Greatest Common Factor

We found the factors 4165,8041 . The biggest common factor number is the GCF number.
So the greatest common factor 4165,8041 is 17.

Lets's calculate LCM of 376,7683

Lowest Common Multiple of 376,7683 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2888808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2888808

Therefore, the GCF of Fractions 4165/376,8041/7683 is 17/2888808

Least Common Multiple of 376,7683 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 376,7683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,7683) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(376,7683) x common factors =1 x 1 = 1

LCM(376,7683) = ( 376 × 7683 ) / 1

LCM(376,7683) = 2888808 / 1

LCM(376,7683) = 2888808

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FAQs on GCF of Fractions of 4165/376, 8041/7683

1. What is the HCF of 4165,8041?

The HCF of 4165,8041 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 4165/376, 8041/7683?

Answer: GCF of Numerators as per given numbers 4165/376, 8041/7683 is

GCF of Numerators i.e. for 4165,8041 is 17

LCM of denominators i.e. for 376,7683 is 2888808.

Thus, GCF of Fractions is 17/2888808.Finally, GCF of Fractions for 4165/376, 8041/7683 is 17/2888808.