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GCF of 523/296, 7348/594

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 523/296, 7348/594 i.e 1/87912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 523/296, 7348/594.

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 523/296,7348/594?

Given fractions are 523/296,7348/594

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 523/296,7348/594, numerators are 523,7348

Denominators are 296,594

The GCF of 523,7348 is 1 .

LCM of 296,594 is 87912.

The greatest common factor of 523/296,7348/594 = [GCF of 523,7348]/[LCM of 296,594]= 1/87912

Therefore, the GCF of 523/296,7348/594 is 1/87912.

Greatest Common Factor of 523,7348

To find the highest common factor of 523,7348, we have to find the factors of both numbers and list the highest common factor.

The factors of 523 are 1, 523

The factors of 7348 are 1, 2, 4, 11, 22, 44, 167, 334, 668, 1837, 3674, 7348

The HCF of 523,7348 is 1.

Lets's calculate GCF of 523,7348

Greatest Common Factor (GCF) of 523,7348 By Common Division

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

Greatest Common Factor of 523,7348 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,7348 By Matching Biggest Common Factor Method

Now, list down the factors of 523

:

1,523

Now, list down the factors of 7348

:

1,2,4,11,22,44,167,334,668,1837,3674,7348

Greatest Common Factor

We found the factors 523,7348 . The biggest common factor number is the GCF number.
So the greatest common factor 523,7348 is 1.

Lets's calculate LCM of 296,594

Lowest Common Multiple of 296,594 using Common Division

2 296, 594
148, 297

∴ So the LCM of the given numbers is 2 x 148 x 297 = 87912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87912

Therefore, the GCF of Fractions 523/296,7348/594 is 1/87912

Least Common Multiple of 296,594 with GCF Formula

Least Common Multiple of 296,594 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 296,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,594) = 2

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

GCF(296,594) x common factors =2 x 1 = 2

LCM(296,594) = ( 296 × 594 ) / 2

LCM(296,594) = 175824 / 2

LCM(296,594) = 87912


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FAQs on GCF of Fractions of 523/296, 7348/594

1. What is the HCF of 523,7348?

The HCF of 523,7348 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 523/296, 7348/594?

Answer: GCF of Numerators as per given numbers 523/296, 7348/594 is

GCF of Numerators i.e. for 523,7348 is 1

LCM of denominators i.e. for 296,594 is 87912.

Thus, GCF of Fractions is 1/87912.Finally, GCF of Fractions for 523/296, 7348/594 is 1/87912.