How to Find GCF of 3853/839, 5429/6743?

GCF of 3853/839, 5429/6743

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 3853/839, 5429/6743 i.e 1/5657377 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3853/839, 5429/6743.

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 3853/839,5429/6743?

Given fractions are 3853/839,5429/6743

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 3853/839,5429/6743, numerators are 3853,5429

Denominators are 839,6743

The GCF of 3853,5429 is 1 .

LCM of 839,6743 is 5657377.

The greatest common factor of 3853/839,5429/6743 = [GCF of 3853,5429]/[LCM of 839,6743]= 1/5657377

Therefore, the GCF of 3853/839,5429/6743 is 1/5657377.

Greatest Common Factor of 3853,5429

To find the highest common factor of 3853,5429, we have to find the factors of both numbers and list the highest common factor.

The factors of 3853 are 1, 3853

The factors of 5429 are 1, 61, 89, 5429

The HCF of 3853,5429 is 1.

Lets's calculate GCF of 3853,5429

Greatest Common Factor (GCF) of 3853,5429 By Common Division

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

Greatest Common Factor of 3853,5429 By Matching Biggest Common Factor Method

Now, list down the factors of 3853

1,3853

Now, list down the factors of 5429

1,61,89,5429

Greatest Common Factor

We found the factors 3853,5429 . The biggest common factor number is the GCF number.
So the greatest common factor 3853,5429 is 1.

Lets's calculate LCM of 839,6743

Lowest Common Multiple of 839,6743 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5657377

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5657377

Therefore, the GCF of Fractions 3853/839,5429/6743 is 1/5657377

Least Common Multiple of 839,6743 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 839,6743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,6743) = 1

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

GCF(839,6743) x common factors =1 x 1 = 1

LCM(839,6743) = ( 839 × 6743 ) / 1

LCM(839,6743) = 5657377 / 1

LCM(839,6743) = 5657377

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FAQs on GCF of Fractions of 3853/839, 5429/6743

1. What is the HCF of 3853,5429?

The HCF of 3853,5429 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 3853/839, 5429/6743?

Answer: GCF of Numerators as per given numbers 3853/839, 5429/6743 is

GCF of Numerators i.e. for 3853,5429 is 1

LCM of denominators i.e. for 839,6743 is 5657377.

Thus, GCF of Fractions is 1/5657377.Finally, GCF of Fractions for 3853/839, 5429/6743 is 1/5657377.