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GCF of 541/642, 6843/742

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 541/642, 6843/742 i.e 1/238182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 541/642, 6843/742.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 541/642,6843/742?

Given fractions are 541/642,6843/742

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 541/642,6843/742, numerators are 541,6843

Denominators are 642,742

The GCF of 541,6843 is 1 .

LCM of 642,742 is 238182.

The greatest common factor of 541/642,6843/742 = [GCF of 541,6843]/[LCM of 642,742]= 1/238182

Therefore, the GCF of 541/642,6843/742 is 1/238182.

Greatest Common Factor of 541,6843

To find the highest common factor of 541,6843, we have to find the factors of both numbers and list the highest common factor.

The factors of 541 are 1, 541

The factors of 6843 are 1, 3, 2281, 6843

The HCF of 541,6843 is 1.

Lets's calculate GCF of 541,6843

Greatest Common Factor (GCF) of 541,6843 By Common Division

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

Greatest Common Factor of 541,6843 By Matching Biggest Common Factor Method

Greatest Common Factor of 541,6843 By Matching Biggest Common Factor Method

Now, list down the factors of 541

:

1,541

Now, list down the factors of 6843

:

1,3,2281,6843

Greatest Common Factor

We found the factors 541,6843 . The biggest common factor number is the GCF number.
So the greatest common factor 541,6843 is 1.

Lets's calculate LCM of 642,742

Lowest Common Multiple of 642,742 using Common Division

2 642, 742
321, 371

∴ So the LCM of the given numbers is 2 x 321 x 371 = 238182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238182

Therefore, the GCF of Fractions 541/642,6843/742 is 1/238182

Least Common Multiple of 642,742 with GCF Formula

Least Common Multiple of 642,742 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 642,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,742) = 2

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

GCF(642,742) x common factors =2 x 1 = 2

LCM(642,742) = ( 642 × 742 ) / 2

LCM(642,742) = 476364 / 2

LCM(642,742) = 238182


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FAQs on GCF of Fractions of 541/642, 6843/742

1. What is the HCF of 541,6843?

The HCF of 541,6843 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 541/642, 6843/742?

Answer: GCF of Numerators as per given numbers 541/642, 6843/742 is

GCF of Numerators i.e. for 541,6843 is 1

LCM of denominators i.e. for 642,742 is 238182.

Thus, GCF of Fractions is 1/238182.Finally, GCF of Fractions for 541/642, 6843/742 is 1/238182.