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GCF of 543/602, 5309/8256

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 543/602, 5309/8256 i.e 1/57792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 543/602, 5309/8256.

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 543/602,5309/8256?

Given fractions are 543/602,5309/8256

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 543/602,5309/8256, numerators are 543,5309

Denominators are 602,8256

The GCF of 543,5309 is 1 .

LCM of 602,8256 is 57792.

The greatest common factor of 543/602,5309/8256 = [GCF of 543,5309]/[LCM of 602,8256]= 1/57792

Therefore, the GCF of 543/602,5309/8256 is 1/57792.

Greatest Common Factor of 543,5309

To find the highest common factor of 543,5309, 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 5309 are 1, 5309

The HCF of 543,5309 is 1.

Lets's calculate GCF of 543,5309

Greatest Common Factor (GCF) of 543,5309 By Common Division

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

Greatest Common Factor of 543,5309 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,5309 By Matching Biggest Common Factor Method

Now, list down the factors of 543

:

1,3,181,543

Now, list down the factors of 5309

:

1,5309

Greatest Common Factor

We found the factors 543,5309 . The biggest common factor number is the GCF number.
So the greatest common factor 543,5309 is 1.

Lets's calculate LCM of 602,8256

Lowest Common Multiple of 602,8256 using Common Division

2 602, 8256
43 301, 4128
7, 96

∴ So the LCM of the given numbers is 2 x 43 x 7 x 96 = 57792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57792

Therefore, the GCF of Fractions 543/602,5309/8256 is 1/57792

Least Common Multiple of 602,8256 with GCF Formula

Least Common Multiple of 602,8256 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 602,8256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(602,8256) = 86

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

GCF(602,8256) x common factors =86 x 1 = 86

LCM(602,8256) = ( 602 × 8256 ) / 86

LCM(602,8256) = 4970112 / 86

LCM(602,8256) = 57792


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FAQs on GCF of Fractions of 543/602, 5309/8256

1. What is the HCF of 543,5309?

The HCF of 543,5309 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 543/602, 5309/8256?

Answer: GCF of Numerators as per given numbers 543/602, 5309/8256 is

GCF of Numerators i.e. for 543,5309 is 1

LCM of denominators i.e. for 602,8256 is 57792.

Thus, GCF of Fractions is 1/57792.Finally, GCF of Fractions for 543/602, 5309/8256 is 1/57792.