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GCF of 519/758, 9407/638

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 519/758, 9407/638 i.e 1/241802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 519/758, 9407/638.

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 519/758,9407/638?

Given fractions are 519/758,9407/638

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 519/758,9407/638, numerators are 519,9407

Denominators are 758,638

The GCF of 519,9407 is 1 .

LCM of 758,638 is 241802.

The greatest common factor of 519/758,9407/638 = [GCF of 519,9407]/[LCM of 758,638]= 1/241802

Therefore, the GCF of 519/758,9407/638 is 1/241802.

Greatest Common Factor of 519,9407

To find the highest common factor of 519,9407, 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 9407 are 1, 23, 409, 9407

The HCF of 519,9407 is 1.

Lets's calculate GCF of 519,9407

Greatest Common Factor (GCF) of 519,9407 By Common Division

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

Greatest Common Factor of 519,9407 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,9407 By Matching Biggest Common Factor Method

Now, list down the factors of 519

:

1,3,173,519

Now, list down the factors of 9407

:

1,23,409,9407

Greatest Common Factor

We found the factors 519,9407 . The biggest common factor number is the GCF number.
So the greatest common factor 519,9407 is 1.

Lets's calculate LCM of 758,638

Lowest Common Multiple of 758,638 using Common Division

2 758, 638
379, 319

∴ So the LCM of the given numbers is 2 x 379 x 319 = 241802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/241802

Therefore, the GCF of Fractions 519/758,9407/638 is 1/241802

Least Common Multiple of 758,638 with GCF Formula

Least Common Multiple of 758,638 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 758,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,638) = 2

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

GCF(758,638) x common factors =2 x 1 = 2

LCM(758,638) = ( 758 × 638 ) / 2

LCM(758,638) = 483604 / 2

LCM(758,638) = 241802


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FAQs on GCF of Fractions of 519/758, 9407/638

1. What is the HCF of 519,9407?

The HCF of 519,9407 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 519/758, 9407/638?

Answer: GCF of Numerators as per given numbers 519/758, 9407/638 is

GCF of Numerators i.e. for 519,9407 is 1

LCM of denominators i.e. for 758,638 is 241802.

Thus, GCF of Fractions is 1/241802.Finally, GCF of Fractions for 519/758, 9407/638 is 1/241802.