How to Find GCF of 5323/664, 6523/8974?

GCF of 5323/664, 6523/8974

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 5323/664, 6523/8974 i.e 1/2979368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5323/664, 6523/8974.

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 5323/664,6523/8974?

Given fractions are 5323/664,6523/8974

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 5323/664,6523/8974, numerators are 5323,6523

Denominators are 664,8974

The GCF of 5323,6523 is 1 .

LCM of 664,8974 is 2979368.

The greatest common factor of 5323/664,6523/8974 = [GCF of 5323,6523]/[LCM of 664,8974]= 1/2979368

Therefore, the GCF of 5323/664,6523/8974 is 1/2979368.

Greatest Common Factor of 5323,6523

To find the highest common factor of 5323,6523, we have to find the factors of both numbers and list the highest common factor.

The factors of 5323 are 1, 5323

The factors of 6523 are 1, 11, 593, 6523

The HCF of 5323,6523 is 1.

Lets's calculate GCF of 5323,6523

Greatest Common Factor (GCF) of 5323,6523 By Common Division

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

Greatest Common Factor of 5323,6523 By Matching Biggest Common Factor Method

Now, list down the factors of 5323

1,5323

Now, list down the factors of 6523

1,11,593,6523

Greatest Common Factor

We found the factors 5323,6523 . The biggest common factor number is the GCF number.
So the greatest common factor 5323,6523 is 1.

Lets's calculate LCM of 664,8974

Lowest Common Multiple of 664,8974 using Common Division

2	664, 8974
	332, 4487

∴ So the LCM of the given numbers is 2 x 332 x 4487 = 2979368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2979368

Therefore, the GCF of Fractions 5323/664,6523/8974 is 1/2979368

Least Common Multiple of 664,8974 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 664,8974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,8974) = 2

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

GCF(664,8974) x common factors =2 x 1 = 2

LCM(664,8974) = ( 664 × 8974 ) / 2

LCM(664,8974) = 5958736 / 2

LCM(664,8974) = 2979368

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FAQs on GCF of Fractions of 5323/664, 6523/8974

1. What is the HCF of 5323,6523?

The HCF of 5323,6523 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 5323/664, 6523/8974?

Answer: GCF of Numerators as per given numbers 5323/664, 6523/8974 is

GCF of Numerators i.e. for 5323,6523 is 1

LCM of denominators i.e. for 664,8974 is 2979368.

Thus, GCF of Fractions is 1/2979368.Finally, GCF of Fractions for 5323/664, 6523/8974 is 1/2979368.