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GCF of 435/404, 203/864

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 435/404, 203/864 i.e 29/87264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 435/404, 203/864.

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 435/404,203/864?

Given fractions are 435/404,203/864

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 435/404,203/864, numerators are 435,203

Denominators are 404,864

The GCF of 435,203 is 29 .

LCM of 404,864 is 87264.

The greatest common factor of 435/404,203/864 = [GCF of 435,203]/[LCM of 404,864]= 29/87264

Therefore, the GCF of 435/404,203/864 is 29/87264.

Greatest Common Factor of 435,203

To find the highest common factor of 435,203, we have to find the factors of both numbers and list the highest common factor.

The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435

The factors of 203 are 1, 7, 29, 203

The HCF of 435,203 is 29.

Lets's calculate GCF of 435,203

Greatest Common Factor (GCF) of 435,203 By Common Division

29 435, 203
15, 7

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 435,203 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,203 By Matching Biggest Common Factor Method

Now, list down the factors of 435

:

1,3,5,15,29,87,145,435

Now, list down the factors of 203

:

1,7,29,203

Greatest Common Factor

We found the factors 435,203 . The biggest common factor number is the GCF number.
So the greatest common factor 435,203 is 29.

Lets's calculate LCM of 404,864

Lowest Common Multiple of 404,864 using Common Division

2 404, 864
2 202, 432
101, 216

∴ So the LCM of the given numbers is 2 x 2 x 101 x 216 = 87264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/87264

Therefore, the GCF of Fractions 435/404,203/864 is 29/87264

Least Common Multiple of 404,864 with GCF Formula

Least Common Multiple of 404,864 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 404,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,864) = 4

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

GCF(404,864) x common factors =4 x 1 = 4

LCM(404,864) = ( 404 × 864 ) / 4

LCM(404,864) = 349056 / 4

LCM(404,864) = 87264


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FAQs on GCF of Fractions of 435/404, 203/864

1. What is the HCF of 435,203?

The HCF of 435,203 is 29

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 435/404, 203/864?

Answer: GCF of Numerators as per given numbers 435/404, 203/864 is

GCF of Numerators i.e. for 435,203 is 29

LCM of denominators i.e. for 404,864 is 87264.

Thus, GCF of Fractions is 29/87264.Finally, GCF of Fractions for 435/404, 203/864 is 29/87264.