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GCF of 73/587, 469/992

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 73/587, 469/992 i.e 1/582304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 73/587, 469/992.

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 73/587,469/992?

Given fractions are 73/587,469/992

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 73/587,469/992, numerators are 73,469

Denominators are 587,992

The GCF of 73,469 is 1 .

LCM of 587,992 is 582304.

The greatest common factor of 73/587,469/992 = [GCF of 73,469]/[LCM of 587,992]= 1/582304

Therefore, the GCF of 73/587,469/992 is 1/582304.

Greatest Common Factor of 73,469

To find the highest common factor of 73,469, we have to find the factors of both numbers and list the highest common factor.

The factors of 73 are 1, 73

The factors of 469 are 1, 7, 67, 469

The HCF of 73,469 is 1.

Lets's calculate GCF of 73,469

Greatest Common Factor (GCF) of 73,469 By Common Division

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

Greatest Common Factor of 73,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,469 By Matching Biggest Common Factor Method

Now, list down the factors of 73

:

1,73

Now, list down the factors of 469

:

1,7,67,469

Greatest Common Factor

We found the factors 73,469 . The biggest common factor number is the GCF number.
So the greatest common factor 73,469 is 1.

Lets's calculate LCM of 587,992

Lowest Common Multiple of 587,992 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 582304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/582304

Therefore, the GCF of Fractions 73/587,469/992 is 1/582304

Least Common Multiple of 587,992 with GCF Formula

Least Common Multiple of 587,992 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 587,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,992) = 1

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

GCF(587,992) x common factors =1 x 1 = 1

LCM(587,992) = ( 587 × 992 ) / 1

LCM(587,992) = 582304 / 1

LCM(587,992) = 582304


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FAQs on GCF of Fractions of 73/587, 469/992

1. What is the HCF of 73,469?

The HCF of 73,469 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 73/587, 469/992?

Answer: GCF of Numerators as per given numbers 73/587, 469/992 is

GCF of Numerators i.e. for 73,469 is 1

LCM of denominators i.e. for 587,992 is 582304.

Thus, GCF of Fractions is 1/582304.Finally, GCF of Fractions for 73/587, 469/992 is 1/582304.