How to Find GCF of 6563/924, 5439/1154?

GCF of 6563/924, 5439/1154

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 6563/924, 5439/1154 i.e 1/533148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6563/924, 5439/1154.

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 6563/924,5439/1154?

Given fractions are 6563/924,5439/1154

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 6563/924,5439/1154, numerators are 6563,5439

Denominators are 924,1154

The GCF of 6563,5439 is 1 .

LCM of 924,1154 is 533148.

The greatest common factor of 6563/924,5439/1154 = [GCF of 6563,5439]/[LCM of 924,1154]= 1/533148

Therefore, the GCF of 6563/924,5439/1154 is 1/533148.

Greatest Common Factor of 6563,5439

To find the highest common factor of 6563,5439, we have to find the factors of both numbers and list the highest common factor.

The factors of 6563 are 1, 6563

The factors of 5439 are 1, 3, 7, 21, 37, 49, 111, 147, 259, 777, 1813, 5439

The HCF of 6563,5439 is 1.

Lets's calculate GCF of 6563,5439

Greatest Common Factor (GCF) of 6563,5439 By Common Division

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

Greatest Common Factor of 6563,5439 By Matching Biggest Common Factor Method

Now, list down the factors of 6563

1,6563

Now, list down the factors of 5439

1,3,7,21,37,49,111,147,259,777,1813,5439

Greatest Common Factor

We found the factors 6563,5439 . The biggest common factor number is the GCF number.
So the greatest common factor 6563,5439 is 1.

Lets's calculate LCM of 924,1154

Lowest Common Multiple of 924,1154 using Common Division

2	924, 1154
	462, 577

∴ So the LCM of the given numbers is 2 x 462 x 577 = 533148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/533148

Therefore, the GCF of Fractions 6563/924,5439/1154 is 1/533148

Least Common Multiple of 924,1154 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 924,1154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,1154) = 2

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

GCF(924,1154) x common factors =2 x 1 = 2

LCM(924,1154) = ( 924 × 1154 ) / 2

LCM(924,1154) = 1066296 / 2

LCM(924,1154) = 533148

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FAQs on GCF of Fractions of 6563/924, 5439/1154

1. What is the HCF of 6563,5439?

The HCF of 6563,5439 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 6563/924, 5439/1154?

Answer: GCF of Numerators as per given numbers 6563/924, 5439/1154 is

GCF of Numerators i.e. for 6563,5439 is 1

LCM of denominators i.e. for 924,1154 is 533148.

Thus, GCF of Fractions is 1/533148.Finally, GCF of Fractions for 6563/924, 5439/1154 is 1/533148.