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GCF of 285/898, 687/714

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 285/898, 687/714 i.e 3/320586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 285/898, 687/714.

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 285/898,687/714?

Given fractions are 285/898,687/714

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 285/898,687/714, numerators are 285,687

Denominators are 898,714

The GCF of 285,687 is 3 .

LCM of 898,714 is 320586.

The greatest common factor of 285/898,687/714 = [GCF of 285,687]/[LCM of 898,714]= 3/320586

Therefore, the GCF of 285/898,687/714 is 3/320586.

Greatest Common Factor of 285,687

To find the highest common factor of 285,687, we have to find the factors of both numbers and list the highest common factor.

The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285

The factors of 687 are 1, 3, 229, 687

The HCF of 285,687 is 3.

Lets's calculate GCF of 285,687

Greatest Common Factor (GCF) of 285,687 By Common Division

3 285, 687
95, 229

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 285,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,687 By Matching Biggest Common Factor Method

Now, list down the factors of 285

:

1,3,5,15,19,57,95,285

Now, list down the factors of 687

:

1,3,229,687

Greatest Common Factor

We found the factors 285,687 . The biggest common factor number is the GCF number.
So the greatest common factor 285,687 is 3.

Lets's calculate LCM of 898,714

Lowest Common Multiple of 898,714 using Common Division

2 898, 714
449, 357

∴ So the LCM of the given numbers is 2 x 449 x 357 = 320586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/320586

Therefore, the GCF of Fractions 285/898,687/714 is 3/320586

Least Common Multiple of 898,714 with GCF Formula

Least Common Multiple of 898,714 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 898,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,714) = 2

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

GCF(898,714) x common factors =2 x 1 = 2

LCM(898,714) = ( 898 × 714 ) / 2

LCM(898,714) = 641172 / 2

LCM(898,714) = 320586


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FAQs on GCF of Fractions of 285/898, 687/714

1. What is the HCF of 285,687?

The HCF of 285,687 is 3

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 285/898, 687/714?

Answer: GCF of Numerators as per given numbers 285/898, 687/714 is

GCF of Numerators i.e. for 285,687 is 3

LCM of denominators i.e. for 898,714 is 320586.

Thus, GCF of Fractions is 3/320586.Finally, GCF of Fractions for 285/898, 687/714 is 3/320586.