How to Find GCF of 7165/229, 3854/568?

GCF of 7165/229, 3854/568

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 7165/229, 3854/568 i.e 1/130072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7165/229, 3854/568.

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 7165/229,3854/568?

Given fractions are 7165/229,3854/568

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 7165/229,3854/568, numerators are 7165,3854

Denominators are 229,568

The GCF of 7165,3854 is 1 .

LCM of 229,568 is 130072.

The greatest common factor of 7165/229,3854/568 = [GCF of 7165,3854]/[LCM of 229,568]= 1/130072

Therefore, the GCF of 7165/229,3854/568 is 1/130072.

Greatest Common Factor of 7165,3854

To find the highest common factor of 7165,3854, we have to find the factors of both numbers and list the highest common factor.

The factors of 7165 are 1, 5, 1433, 7165

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

The HCF of 7165,3854 is 1.

Lets's calculate GCF of 7165,3854

Greatest Common Factor (GCF) of 7165,3854 By Common Division

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

Greatest Common Factor of 7165,3854 By Matching Biggest Common Factor Method

Now, list down the factors of 7165

1,5,1433,7165

Now, list down the factors of 3854

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

Greatest Common Factor

We found the factors 7165,3854 . The biggest common factor number is the GCF number.
So the greatest common factor 7165,3854 is 1.

Lets's calculate LCM of 229,568

Lowest Common Multiple of 229,568 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 130072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130072

Therefore, the GCF of Fractions 7165/229,3854/568 is 1/130072

Least Common Multiple of 229,568 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 229,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,568) = 1

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

GCF(229,568) x common factors =1 x 1 = 1

LCM(229,568) = ( 229 × 568 ) / 1

LCM(229,568) = 130072 / 1

LCM(229,568) = 130072

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FAQs on GCF of Fractions of 7165/229, 3854/568

1. What is the HCF of 7165,3854?

The HCF of 7165,3854 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 7165/229, 3854/568?

Answer: GCF of Numerators as per given numbers 7165/229, 3854/568 is

GCF of Numerators i.e. for 7165,3854 is 1

LCM of denominators i.e. for 229,568 is 130072.

Thus, GCF of Fractions is 1/130072.Finally, GCF of Fractions for 7165/229, 3854/568 is 1/130072.