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GCF of 529/464, 8231/1184

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 529/464, 8231/1184 i.e 1/34336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 529/464, 8231/1184.

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 529/464,8231/1184?

Given fractions are 529/464,8231/1184

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 529/464,8231/1184, numerators are 529,8231

Denominators are 464,1184

The GCF of 529,8231 is 1 .

LCM of 464,1184 is 34336.

The greatest common factor of 529/464,8231/1184 = [GCF of 529,8231]/[LCM of 464,1184]= 1/34336

Therefore, the GCF of 529/464,8231/1184 is 1/34336.

Greatest Common Factor of 529,8231

To find the highest common factor of 529,8231, we have to find the factors of both numbers and list the highest common factor.

The factors of 529 are 1, 23, 529

The factors of 8231 are 1, 8231

The HCF of 529,8231 is 1.

Lets's calculate GCF of 529,8231

Greatest Common Factor (GCF) of 529,8231 By Common Division

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

Greatest Common Factor of 529,8231 By Matching Biggest Common Factor Method

Greatest Common Factor of 529,8231 By Matching Biggest Common Factor Method

Now, list down the factors of 529

:

1,23,529

Now, list down the factors of 8231

:

1,8231

Greatest Common Factor

We found the factors 529,8231 . The biggest common factor number is the GCF number.
So the greatest common factor 529,8231 is 1.

Lets's calculate LCM of 464,1184

Lowest Common Multiple of 464,1184 using Common Division

2 464, 1184
2 232, 592
2 116, 296
2 58, 148
29, 74

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 29 x 74 = 34336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34336

Therefore, the GCF of Fractions 529/464,8231/1184 is 1/34336

Least Common Multiple of 464,1184 with GCF Formula

Least Common Multiple of 464,1184 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 464,1184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,1184) = 16

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

GCF(464,1184) x common factors =16 x 1 = 16

LCM(464,1184) = ( 464 × 1184 ) / 16

LCM(464,1184) = 549376 / 16

LCM(464,1184) = 34336


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FAQs on GCF of Fractions of 529/464, 8231/1184

1. What is the HCF of 529,8231?

The HCF of 529,8231 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 529/464, 8231/1184?

Answer: GCF of Numerators as per given numbers 529/464, 8231/1184 is

GCF of Numerators i.e. for 529,8231 is 1

LCM of denominators i.e. for 464,1184 is 34336.

Thus, GCF of Fractions is 1/34336.Finally, GCF of Fractions for 529/464, 8231/1184 is 1/34336.