Greatest Common Factor of 577/609, 997/225, 458/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 577/609, 997/225, 458/343

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 577/609,997/225,458/343

Given fractions are 577/609,997/225,458/343

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 577,997,458

Greatest Common Factor of Numerators i.e. GCF of 577,997,458 is 1 .

LCM of Denominators means LCM of 609,225,343 as per the given fractions.

LCM of 609,225,343 is 2238075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 577,997,458

GCF of Fractions 577/609,997/225,458/343 is 1/2238075

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

Greatest Common Factor of 577,997,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,997,458 By Matching Biggest Common Factor Method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 577,997,458 . The biggest common factor number is the GCF number.
So the greatest common factor 577,997,458 is 1.

Lets's calculate LCM of 609,225,343

3 609, 225, 343
7 203, 75, 343
29, 75, 49

∴ So the LCM of the given numbers is 3 x 7 x 29 x 75 x 49 = 2238075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2238075

Therefore, the GCF of Fractions 577/609,997/225,458/343 is 1/2238075

Least Common Multiple of 609,225,343 with GCF Formula

Least Common Multiple of 609,225,343 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 609,225,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,225,343) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(609,225,343) x common factors =1 x 21 = 21

LCM(609,225,343) = ( 609 × 225 × 343 ) / 21

LCM(609,225,343) = 46999575 / 21

LCM(609,225,343) = 2238075


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 577/609, 997/225, 458/343

1. 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.

2. What is the GCF of Fractions for 577/609, 997/225, 458/343?

Answer: GCF of Numerators as per given numbers 577/609, 997/225, 458/343 is

GCF of Numerators i.e. for 577,997,458 is 1

LCM of denominators i.e. for 609,225,343 is 2238075.

Thus, GCF of Fractions is 1/2238075.Finally, GCF of Fractions for 577/609, 997/225, 458/343 is 1/2238075.