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GCF of 859/285, 833/408

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 859/285, 833/408 i.e 1/38760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 859/285, 833/408.

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 859/285,833/408?

Given fractions are 859/285,833/408

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 859/285,833/408, numerators are 859,833

Denominators are 285,408

The GCF of 859,833 is 1 .

LCM of 285,408 is 38760.

The greatest common factor of 859/285,833/408 = [GCF of 859,833]/[LCM of 285,408]= 1/38760

Therefore, the GCF of 859/285,833/408 is 1/38760.

Greatest Common Factor of 859,833

To find the highest common factor of 859,833, we have to find the factors of both numbers and list the highest common factor.

The factors of 859 are 1, 859

The factors of 833 are 1, 7, 17, 49, 119, 833

The HCF of 859,833 is 1.

Lets's calculate GCF of 859,833

Greatest Common Factor (GCF) of 859,833 By Common Division

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

Greatest Common Factor of 859,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 859,833 By Matching Biggest Common Factor Method

Now, list down the factors of 859

:

1,859

Now, list down the factors of 833

:

1,7,17,49,119,833

Greatest Common Factor

We found the factors 859,833 . The biggest common factor number is the GCF number.
So the greatest common factor 859,833 is 1.

Lets's calculate LCM of 285,408

Lowest Common Multiple of 285,408 using Common Division

3 285, 408
95, 136

∴ So the LCM of the given numbers is 3 x 95 x 136 = 38760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38760

Therefore, the GCF of Fractions 859/285,833/408 is 1/38760

Least Common Multiple of 285,408 with GCF Formula

Least Common Multiple of 285,408 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 285,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,408) = 3

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

GCF(285,408) x common factors =3 x 1 = 3

LCM(285,408) = ( 285 × 408 ) / 3

LCM(285,408) = 116280 / 3

LCM(285,408) = 38760


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FAQs on GCF of Fractions of 859/285, 833/408

1. What is the HCF of 859,833?

The HCF of 859,833 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 859/285, 833/408?

Answer: GCF of Numerators as per given numbers 859/285, 833/408 is

GCF of Numerators i.e. for 859,833 is 1

LCM of denominators i.e. for 285,408 is 38760.

Thus, GCF of Fractions is 1/38760.Finally, GCF of Fractions for 859/285, 833/408 is 1/38760.