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GCF of 699/204, 529/204

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 699/204, 529/204 i.e 1/204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 699/204, 529/204.

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 699/204,529/204?

Given fractions are 699/204,529/204

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 699/204,529/204, numerators are 699,529

Denominators are 204,204

The GCF of 699,529 is 1 .

LCM of 204,204 is 204.

The greatest common factor of 699/204,529/204 = [GCF of 699,529]/[LCM of 204,204]= 1/204

Therefore, the GCF of 699/204,529/204 is 1/204.

Greatest Common Factor of 699,529

To find the highest common factor of 699,529, we have to find the factors of both numbers and list the highest common factor.

The factors of 699 are 1, 3, 233, 699

The factors of 529 are 1, 23, 529

The HCF of 699,529 is 1.

Lets's calculate GCF of 699,529

Greatest Common Factor (GCF) of 699,529 By Common Division

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

Greatest Common Factor of 699,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,529 By Matching Biggest Common Factor Method

Now, list down the factors of 699

:

1,3,233,699

Now, list down the factors of 529

:

1,23,529

Greatest Common Factor

We found the factors 699,529 . The biggest common factor number is the GCF number.
So the greatest common factor 699,529 is 1.

Lets's calculate LCM of 204,204

Lowest Common Multiple of 204,204 using Common Division

2 204, 204
2 102, 102
3 51, 51
17 17, 17
1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 1 x 1 = 204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204

Therefore, the GCF of Fractions 699/204,529/204 is 1/204

Least Common Multiple of 204,204 with GCF Formula

Least Common Multiple of 204,204 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 204,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,204) = 204

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

GCF(204,204) x common factors =204 x 1 = 204

LCM(204,204) = ( 204 × 204 ) / 204

LCM(204,204) = 41616 / 204

LCM(204,204) = 204


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FAQs on GCF of Fractions of 699/204, 529/204

1. What is the HCF of 699,529?

The HCF of 699,529 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 699/204, 529/204?

Answer: GCF of Numerators as per given numbers 699/204, 529/204 is

GCF of Numerators i.e. for 699,529 is 1

LCM of denominators i.e. for 204,204 is 204.

Thus, GCF of Fractions is 1/204.Finally, GCF of Fractions for 699/204, 529/204 is 1/204.