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GCF of 519/585, 7450/300

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 519/585, 7450/300 i.e 1/11700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 519/585, 7450/300.

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 519/585,7450/300?

Given fractions are 519/585,7450/300

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 519/585,7450/300, numerators are 519,7450

Denominators are 585,300

The GCF of 519,7450 is 1 .

LCM of 585,300 is 11700.

The greatest common factor of 519/585,7450/300 = [GCF of 519,7450]/[LCM of 585,300]= 1/11700

Therefore, the GCF of 519/585,7450/300 is 1/11700.

Greatest Common Factor of 519,7450

To find the highest common factor of 519,7450, 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 7450 are 1, 2, 5, 10, 25, 50, 149, 298, 745, 1490, 3725, 7450

The HCF of 519,7450 is 1.

Lets's calculate GCF of 519,7450

Greatest Common Factor (GCF) of 519,7450 By Common Division

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

Greatest Common Factor of 519,7450 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,7450 By Matching Biggest Common Factor Method

Now, list down the factors of 519

:

1,3,173,519

Now, list down the factors of 7450

:

1,2,5,10,25,50,149,298,745,1490,3725,7450

Greatest Common Factor

We found the factors 519,7450 . The biggest common factor number is the GCF number.
So the greatest common factor 519,7450 is 1.

Lets's calculate LCM of 585,300

Lowest Common Multiple of 585,300 using Common Division

3 585, 300
5 195, 100
39, 20

∴ So the LCM of the given numbers is 3 x 5 x 39 x 20 = 11700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11700

Therefore, the GCF of Fractions 519/585,7450/300 is 1/11700

Least Common Multiple of 585,300 with GCF Formula

Least Common Multiple of 585,300 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 585,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,300) = 15

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

GCF(585,300) x common factors =15 x 1 = 15

LCM(585,300) = ( 585 × 300 ) / 15

LCM(585,300) = 175500 / 15

LCM(585,300) = 11700


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FAQs on GCF of Fractions of 519/585, 7450/300

1. What is the HCF of 519,7450?

The HCF of 519,7450 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 519/585, 7450/300?

Answer: GCF of Numerators as per given numbers 519/585, 7450/300 is

GCF of Numerators i.e. for 519,7450 is 1

LCM of denominators i.e. for 585,300 is 11700.

Thus, GCF of Fractions is 1/11700.Finally, GCF of Fractions for 519/585, 7450/300 is 1/11700.