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GCF of 813/10, 523/954

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 813/10, 523/954 i.e 1/4770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 813/10, 523/954.

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 813/10,523/954?

Given fractions are 813/10,523/954

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 813/10,523/954, numerators are 813,523

Denominators are 10,954

The GCF of 813,523 is 1 .

LCM of 10,954 is 4770.

The greatest common factor of 813/10,523/954 = [GCF of 813,523]/[LCM of 10,954]= 1/4770

Therefore, the GCF of 813/10,523/954 is 1/4770.

Greatest Common Factor of 813,523

To find the highest common factor of 813,523, we have to find the factors of both numbers and list the highest common factor.

The factors of 813 are 1, 3, 271, 813

The factors of 523 are 1, 523

The HCF of 813,523 is 1.

Lets's calculate GCF of 813,523

Greatest Common Factor (GCF) of 813,523 By Common Division

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

Greatest Common Factor of 813,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,523 By Matching Biggest Common Factor Method

Now, list down the factors of 813

:

1,3,271,813

Now, list down the factors of 523

:

1,523

Greatest Common Factor

We found the factors 813,523 . The biggest common factor number is the GCF number.
So the greatest common factor 813,523 is 1.

Lets's calculate LCM of 10,954

Lowest Common Multiple of 10,954 using Common Division

2 10, 954
5, 477

∴ So the LCM of the given numbers is 2 x 5 x 477 = 4770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4770

Therefore, the GCF of Fractions 813/10,523/954 is 1/4770

Least Common Multiple of 10,954 with GCF Formula

Least Common Multiple of 10,954 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 10,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,954) = 2

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

GCF(10,954) x common factors =2 x 1 = 2

LCM(10,954) = ( 10 × 954 ) / 2

LCM(10,954) = 9540 / 2

LCM(10,954) = 4770


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FAQs on GCF of Fractions of 813/10, 523/954

1. What is the HCF of 813,523?

The HCF of 813,523 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 813/10, 523/954?

Answer: GCF of Numerators as per given numbers 813/10, 523/954 is

GCF of Numerators i.e. for 813,523 is 1

LCM of denominators i.e. for 10,954 is 4770.

Thus, GCF of Fractions is 1/4770.Finally, GCF of Fractions for 813/10, 523/954 is 1/4770.