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GCF of 543/492, 263/466

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 543/492, 263/466 i.e 1/114636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 543/492, 263/466.

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 543/492,263/466?

Given fractions are 543/492,263/466

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 543/492,263/466, numerators are 543,263

Denominators are 492,466

The GCF of 543,263 is 1 .

LCM of 492,466 is 114636.

The greatest common factor of 543/492,263/466 = [GCF of 543,263]/[LCM of 492,466]= 1/114636

Therefore, the GCF of 543/492,263/466 is 1/114636.

Greatest Common Factor of 543,263

To find the highest common factor of 543,263, 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 263 are 1, 263

The HCF of 543,263 is 1.

Lets's calculate GCF of 543,263

Greatest Common Factor (GCF) of 543,263 By Common Division

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

Greatest Common Factor of 543,263 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,263 By Matching Biggest Common Factor Method

Now, list down the factors of 543

:

1,3,181,543

Now, list down the factors of 263

:

1,263

Greatest Common Factor

We found the factors 543,263 . The biggest common factor number is the GCF number.
So the greatest common factor 543,263 is 1.

Lets's calculate LCM of 492,466

Lowest Common Multiple of 492,466 using Common Division

2 492, 466
246, 233

∴ So the LCM of the given numbers is 2 x 246 x 233 = 114636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114636

Therefore, the GCF of Fractions 543/492,263/466 is 1/114636

Least Common Multiple of 492,466 with GCF Formula

Least Common Multiple of 492,466 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 492,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,466) = 2

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

GCF(492,466) x common factors =2 x 1 = 2

LCM(492,466) = ( 492 × 466 ) / 2

LCM(492,466) = 229272 / 2

LCM(492,466) = 114636


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FAQs on GCF of Fractions of 543/492, 263/466

1. What is the HCF of 543,263?

The HCF of 543,263 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 543/492, 263/466?

Answer: GCF of Numerators as per given numbers 543/492, 263/466 is

GCF of Numerators i.e. for 543,263 is 1

LCM of denominators i.e. for 492,466 is 114636.

Thus, GCF of Fractions is 1/114636.Finally, GCF of Fractions for 543/492, 263/466 is 1/114636.