How to Find GCF of 3827/338, 4913/4061?

GCF of 3827/338, 4913/4061

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 3827/338, 4913/4061 i.e 1/1372618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3827/338, 4913/4061.

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 3827/338,4913/4061?

Given fractions are 3827/338,4913/4061

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 3827/338,4913/4061, numerators are 3827,4913

Denominators are 338,4061

The GCF of 3827,4913 is 1 .

LCM of 338,4061 is 1372618.

The greatest common factor of 3827/338,4913/4061 = [GCF of 3827,4913]/[LCM of 338,4061]= 1/1372618

Therefore, the GCF of 3827/338,4913/4061 is 1/1372618.

Greatest Common Factor of 3827,4913

To find the highest common factor of 3827,4913, we have to find the factors of both numbers and list the highest common factor.

The factors of 3827 are 1, 43, 89, 3827

The factors of 4913 are 1, 17, 289, 4913

The HCF of 3827,4913 is 1.

Lets's calculate GCF of 3827,4913

Greatest Common Factor (GCF) of 3827,4913 By Common Division

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

Greatest Common Factor of 3827,4913 By Matching Biggest Common Factor Method

Now, list down the factors of 3827

1,43,89,3827

Now, list down the factors of 4913

1,17,289,4913

Greatest Common Factor

We found the factors 3827,4913 . The biggest common factor number is the GCF number.
So the greatest common factor 3827,4913 is 1.

Lets's calculate LCM of 338,4061

Lowest Common Multiple of 338,4061 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1372618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1372618

Therefore, the GCF of Fractions 3827/338,4913/4061 is 1/1372618

Least Common Multiple of 338,4061 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 338,4061 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,4061) = 1

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

GCF(338,4061) x common factors =1 x 1 = 1

LCM(338,4061) = ( 338 × 4061 ) / 1

LCM(338,4061) = 1372618 / 1

LCM(338,4061) = 1372618

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FAQs on GCF of Fractions of 3827/338, 4913/4061

1. What is the HCF of 3827,4913?

The HCF of 3827,4913 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 3827/338, 4913/4061?

Answer: GCF of Numerators as per given numbers 3827/338, 4913/4061 is

GCF of Numerators i.e. for 3827,4913 is 1

LCM of denominators i.e. for 338,4061 is 1372618.

Thus, GCF of Fractions is 1/1372618.Finally, GCF of Fractions for 3827/338, 4913/4061 is 1/1372618.