How to Find GCF of 4145/431, 3449/6804?

GCF of 4145/431, 3449/6804

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 4145/431, 3449/6804 i.e 1/2932524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4145/431, 3449/6804.

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 4145/431,3449/6804?

Given fractions are 4145/431,3449/6804

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 4145/431,3449/6804, numerators are 4145,3449

Denominators are 431,6804

The GCF of 4145,3449 is 1 .

LCM of 431,6804 is 2932524.

The greatest common factor of 4145/431,3449/6804 = [GCF of 4145,3449]/[LCM of 431,6804]= 1/2932524

Therefore, the GCF of 4145/431,3449/6804 is 1/2932524.

Greatest Common Factor of 4145,3449

To find the highest common factor of 4145,3449, we have to find the factors of both numbers and list the highest common factor.

The factors of 4145 are 1, 5, 829, 4145

The factors of 3449 are 1, 3449

The HCF of 4145,3449 is 1.

Lets's calculate GCF of 4145,3449

Greatest Common Factor (GCF) of 4145,3449 By Common Division

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

Greatest Common Factor of 4145,3449 By Matching Biggest Common Factor Method

Now, list down the factors of 4145

1,5,829,4145

Now, list down the factors of 3449

1,3449

Greatest Common Factor

We found the factors 4145,3449 . The biggest common factor number is the GCF number.
So the greatest common factor 4145,3449 is 1.

Lets's calculate LCM of 431,6804

Lowest Common Multiple of 431,6804 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2932524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2932524

Therefore, the GCF of Fractions 4145/431,3449/6804 is 1/2932524

Least Common Multiple of 431,6804 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 431,6804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,6804) = 1

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

GCF(431,6804) x common factors =1 x 1 = 1

LCM(431,6804) = ( 431 × 6804 ) / 1

LCM(431,6804) = 2932524 / 1

LCM(431,6804) = 2932524

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FAQs on GCF of Fractions of 4145/431, 3449/6804

1. What is the HCF of 4145,3449?

The HCF of 4145,3449 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 4145/431, 3449/6804?

Answer: GCF of Numerators as per given numbers 4145/431, 3449/6804 is

GCF of Numerators i.e. for 4145,3449 is 1

LCM of denominators i.e. for 431,6804 is 2932524.

Thus, GCF of Fractions is 1/2932524.Finally, GCF of Fractions for 4145/431, 3449/6804 is 1/2932524.