How to Find GCF of 3854/172, 8017/2062?

GCF of 3854/172, 8017/2062

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 3854/172, 8017/2062 i.e 1/177332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3854/172, 8017/2062.

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 3854/172,8017/2062?

Given fractions are 3854/172,8017/2062

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 3854/172,8017/2062, numerators are 3854,8017

Denominators are 172,2062

The GCF of 3854,8017 is 1 .

LCM of 172,2062 is 177332.

The greatest common factor of 3854/172,8017/2062 = [GCF of 3854,8017]/[LCM of 172,2062]= 1/177332

Therefore, the GCF of 3854/172,8017/2062 is 1/177332.

Greatest Common Factor of 3854,8017

To find the highest common factor of 3854,8017, we have to find the factors of both numbers and list the highest common factor.

The factors of 3854 are 1, 2, 41, 47, 82, 94, 1927, 3854

The factors of 8017 are 1, 8017

The HCF of 3854,8017 is 1.

Lets's calculate GCF of 3854,8017

Greatest Common Factor (GCF) of 3854,8017 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3854,8017 By Matching Biggest Common Factor Method

Now, list down the factors of 3854

1,2,41,47,82,94,1927,3854

Now, list down the factors of 8017

1,8017

Greatest Common Factor

We found the factors 3854,8017 . The biggest common factor number is the GCF number.
So the greatest common factor 3854,8017 is 1.

Lets's calculate LCM of 172,2062

Lowest Common Multiple of 172,2062 using Common Division

2	172, 2062
	86, 1031

∴ So the LCM of the given numbers is 2 x 86 x 1031 = 177332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177332

Therefore, the GCF of Fractions 3854/172,8017/2062 is 1/177332

Least Common Multiple of 172,2062 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 172,2062 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,2062) = 2

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

GCF(172,2062) x common factors =2 x 1 = 2

LCM(172,2062) = ( 172 × 2062 ) / 2

LCM(172,2062) = 354664 / 2

LCM(172,2062) = 177332

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FAQs on GCF of Fractions of 3854/172, 8017/2062

1. What is the HCF of 3854,8017?

The HCF of 3854,8017 is 1

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 3854/172, 8017/2062?

Answer: GCF of Numerators as per given numbers 3854/172, 8017/2062 is

GCF of Numerators i.e. for 3854,8017 is 1

LCM of denominators i.e. for 172,2062 is 177332.

Thus, GCF of Fractions is 1/177332.Finally, GCF of Fractions for 3854/172, 8017/2062 is 1/177332.