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GCF of 543/43, 851/404

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 543/43, 851/404 i.e 1/17372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 543/43, 851/404.

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 543/43,851/404?

Given fractions are 543/43,851/404

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 543/43,851/404, numerators are 543,851

Denominators are 43,404

The GCF of 543,851 is 1 .

LCM of 43,404 is 17372.

The greatest common factor of 543/43,851/404 = [GCF of 543,851]/[LCM of 43,404]= 1/17372

Therefore, the GCF of 543/43,851/404 is 1/17372.

Greatest Common Factor of 543,851

To find the highest common factor of 543,851, we have to find the factors of both numbers and list the highest common factor.

The factors of 543 are 1, 3, 181, 543

The factors of 851 are 1, 23, 37, 851

The HCF of 543,851 is 1.

Lets's calculate GCF of 543,851

Greatest Common Factor (GCF) of 543,851 By Common Division

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

Greatest Common Factor of 543,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,851 By Matching Biggest Common Factor Method

Now, list down the factors of 543

:

1,3,181,543

Now, list down the factors of 851

:

1,23,37,851

Greatest Common Factor

We found the factors 543,851 . The biggest common factor number is the GCF number.
So the greatest common factor 543,851 is 1.

Lets's calculate LCM of 43,404

Lowest Common Multiple of 43,404 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 17372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17372

Therefore, the GCF of Fractions 543/43,851/404 is 1/17372

Least Common Multiple of 43,404 with GCF Formula

Least Common Multiple of 43,404 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 43,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,404) = 1

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

GCF(43,404) x common factors =1 x 1 = 1

LCM(43,404) = ( 43 × 404 ) / 1

LCM(43,404) = 17372 / 1

LCM(43,404) = 17372


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FAQs on GCF of Fractions of 543/43, 851/404

1. What is the HCF of 543,851?

The HCF of 543,851 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 543/43, 851/404?

Answer: GCF of Numerators as per given numbers 543/43, 851/404 is

GCF of Numerators i.e. for 543,851 is 1

LCM of denominators i.e. for 43,404 is 17372.

Thus, GCF of Fractions is 1/17372.Finally, GCF of Fractions for 543/43, 851/404 is 1/17372.