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GCF of 923/523, 839/526

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 923/523, 839/526 i.e 1/275098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 923/523, 839/526.

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 923/523,839/526?

Given fractions are 923/523,839/526

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 923/523,839/526, numerators are 923,839

Denominators are 523,526

The GCF of 923,839 is 1 .

LCM of 523,526 is 275098.

The greatest common factor of 923/523,839/526 = [GCF of 923,839]/[LCM of 523,526]= 1/275098

Therefore, the GCF of 923/523,839/526 is 1/275098.

Greatest Common Factor of 923,839

To find the highest common factor of 923,839, we have to find the factors of both numbers and list the highest common factor.

The factors of 923 are 1, 13, 71, 923

The factors of 839 are 1, 839

The HCF of 923,839 is 1.

Lets's calculate GCF of 923,839

Greatest Common Factor (GCF) of 923,839 By Common Division

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

Greatest Common Factor of 923,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,839 By Matching Biggest Common Factor Method

Now, list down the factors of 923

:

1,13,71,923

Now, list down the factors of 839

:

1,839

Greatest Common Factor

We found the factors 923,839 . The biggest common factor number is the GCF number.
So the greatest common factor 923,839 is 1.

Lets's calculate LCM of 523,526

Lowest Common Multiple of 523,526 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 275098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/275098

Therefore, the GCF of Fractions 923/523,839/526 is 1/275098

Least Common Multiple of 523,526 with GCF Formula

Least Common Multiple of 523,526 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 523,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,526) = 1

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

GCF(523,526) x common factors =1 x 1 = 1

LCM(523,526) = ( 523 × 526 ) / 1

LCM(523,526) = 275098 / 1

LCM(523,526) = 275098


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FAQs on GCF of Fractions of 923/523, 839/526

1. What is the HCF of 923,839?

The HCF of 923,839 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 923/523, 839/526?

Answer: GCF of Numerators as per given numbers 923/523, 839/526 is

GCF of Numerators i.e. for 923,839 is 1

LCM of denominators i.e. for 523,526 is 275098.

Thus, GCF of Fractions is 1/275098.Finally, GCF of Fractions for 923/523, 839/526 is 1/275098.