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GCF of 519/550, 204/997

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 519/550, 204/997 i.e 3/548350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 519/550, 204/997.

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 519/550,204/997?

Given fractions are 519/550,204/997

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 519/550,204/997, numerators are 519,204

Denominators are 550,997

The GCF of 519,204 is 3 .

LCM of 550,997 is 548350.

The greatest common factor of 519/550,204/997 = [GCF of 519,204]/[LCM of 550,997]= 3/548350

Therefore, the GCF of 519/550,204/997 is 3/548350.

Greatest Common Factor of 519,204

To find the highest common factor of 519,204, we have to find the factors of both numbers and list the highest common factor.

The factors of 519 are 1, 3, 173, 519

The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

The HCF of 519,204 is 3.

Lets's calculate GCF of 519,204

Greatest Common Factor (GCF) of 519,204 By Common Division

3 519, 204
173, 68

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

Greatest Common Factor of 519,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,204 By Matching Biggest Common Factor Method

Now, list down the factors of 519

:

1,3,173,519

Now, list down the factors of 204

:

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 519,204 . The biggest common factor number is the GCF number.
So the greatest common factor 519,204 is 3.

Lets's calculate LCM of 550,997

Lowest Common Multiple of 550,997 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 548350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/548350

Therefore, the GCF of Fractions 519/550,204/997 is 3/548350

Least Common Multiple of 550,997 with GCF Formula

Least Common Multiple of 550,997 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 550,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,997) = 1

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

GCF(550,997) x common factors =1 x 1 = 1

LCM(550,997) = ( 550 × 997 ) / 1

LCM(550,997) = 548350 / 1

LCM(550,997) = 548350


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FAQs on GCF of Fractions of 519/550, 204/997

1. What is the HCF of 519,204?

The HCF of 519,204 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 519/550, 204/997?

Answer: GCF of Numerators as per given numbers 519/550, 204/997 is

GCF of Numerators i.e. for 519,204 is 3

LCM of denominators i.e. for 550,997 is 548350.

Thus, GCF of Fractions is 3/548350.Finally, GCF of Fractions for 519/550, 204/997 is 3/548350.