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GCF of 805/470, 1618/978

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 805/470, 1618/978 i.e 1/229830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 805/470, 1618/978.

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 805/470,1618/978?

Given fractions are 805/470,1618/978

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 805/470,1618/978, numerators are 805,1618

Denominators are 470,978

The GCF of 805,1618 is 1 .

LCM of 470,978 is 229830.

The greatest common factor of 805/470,1618/978 = [GCF of 805,1618]/[LCM of 470,978]= 1/229830

Therefore, the GCF of 805/470,1618/978 is 1/229830.

Greatest Common Factor of 805,1618

To find the highest common factor of 805,1618, we have to find the factors of both numbers and list the highest common factor.

The factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805

The factors of 1618 are 1, 2, 809, 1618

The HCF of 805,1618 is 1.

Lets's calculate GCF of 805,1618

Greatest Common Factor (GCF) of 805,1618 By Common Division

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

Greatest Common Factor of 805,1618 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,1618 By Matching Biggest Common Factor Method

Now, list down the factors of 805

:

1,5,7,23,35,115,161,805

Now, list down the factors of 1618

:

1,2,809,1618

Greatest Common Factor

We found the factors 805,1618 . The biggest common factor number is the GCF number.
So the greatest common factor 805,1618 is 1.

Lets's calculate LCM of 470,978

Lowest Common Multiple of 470,978 using Common Division

2 470, 978
235, 489

∴ So the LCM of the given numbers is 2 x 235 x 489 = 229830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/229830

Therefore, the GCF of Fractions 805/470,1618/978 is 1/229830

Least Common Multiple of 470,978 with GCF Formula

Least Common Multiple of 470,978 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 470,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,978) = 2

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

GCF(470,978) x common factors =2 x 1 = 2

LCM(470,978) = ( 470 × 978 ) / 2

LCM(470,978) = 459660 / 2

LCM(470,978) = 229830


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 805/470, 1618/978

1. What is the HCF of 805,1618?

The HCF of 805,1618 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 805/470, 1618/978?

Answer: GCF of Numerators as per given numbers 805/470, 1618/978 is

GCF of Numerators i.e. for 805,1618 is 1

LCM of denominators i.e. for 470,978 is 229830.

Thus, GCF of Fractions is 1/229830.Finally, GCF of Fractions for 805/470, 1618/978 is 1/229830.