How to Find GCF of 555/13, 518/1008?

GCF of 555/13, 518/1008

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 555/13, 518/1008 i.e 37/13104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 555/13, 518/1008.

Enter two or more fractions separated by "commas"

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

What is the GCF of 555/13,518/1008?

Given fractions are 555/13,518/1008

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 555/13,518/1008, numerators are 555,518

Denominators are 13,1008

The GCF of 555,518 is 37 .

LCM of 13,1008 is 13104.

The greatest common factor of 555/13,518/1008 = [GCF of 555,518]/[LCM of 13,1008]= 37/13104

Therefore, the GCF of 555/13,518/1008 is 37/13104.

Greatest Common Factor of 555,518

To find the highest common factor of 555,518, we have to find the factors of both numbers and list the highest common factor.

The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555

The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518

The HCF of 555,518 is 37.

Lets's calculate GCF of 555,518

Greatest Common Factor (GCF) of 555,518 By Common Division

37	555, 518
	15, 14

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 555,518 By Matching Biggest Common Factor Method

Now, list down the factors of 555

1,3,5,15,37,111,185,555

Now, list down the factors of 518

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 555,518 . The biggest common factor number is the GCF number.
So the greatest common factor 555,518 is 37.

Lets's calculate LCM of 13,1008

Lowest Common Multiple of 13,1008 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 13104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/13104

Therefore, the GCF of Fractions 555/13,518/1008 is 37/13104

Least Common Multiple of 13,1008 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 13,1008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,1008) = 1

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

GCF(13,1008) x common factors =1 x 1 = 1

LCM(13,1008) = ( 13 × 1008 ) / 1

LCM(13,1008) = 13104 / 1

LCM(13,1008) = 13104

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FAQs on GCF of Fractions of 555/13, 518/1008

1. What is the HCF of 555,518?

The HCF of 555,518 is 37

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 555/13, 518/1008?

Answer: GCF of Numerators as per given numbers 555/13, 518/1008 is

GCF of Numerators i.e. for 555,518 is 37

LCM of denominators i.e. for 13,1008 is 13104.

Thus, GCF of Fractions is 37/13104.Finally, GCF of Fractions for 555/13, 518/1008 is 37/13104.