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GCF of 638/813, 2011/180

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 638/813, 2011/180 i.e 1/48780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 638/813, 2011/180.

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 638/813,2011/180?

Given fractions are 638/813,2011/180

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 638/813,2011/180, numerators are 638,2011

Denominators are 813,180

The GCF of 638,2011 is 1 .

LCM of 813,180 is 48780.

The greatest common factor of 638/813,2011/180 = [GCF of 638,2011]/[LCM of 813,180]= 1/48780

Therefore, the GCF of 638/813,2011/180 is 1/48780.

Greatest Common Factor of 638,2011

To find the highest common factor of 638,2011, we have to find the factors of both numbers and list the highest common factor.

The factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638

The factors of 2011 are 1, 2011

The HCF of 638,2011 is 1.

Lets's calculate GCF of 638,2011

Greatest Common Factor (GCF) of 638,2011 By Common Division

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

Greatest Common Factor of 638,2011 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,2011 By Matching Biggest Common Factor Method

Now, list down the factors of 638

:

1,2,11,22,29,58,319,638

Now, list down the factors of 2011

:

1,2011

Greatest Common Factor

We found the factors 638,2011 . The biggest common factor number is the GCF number.
So the greatest common factor 638,2011 is 1.

Lets's calculate LCM of 813,180

Lowest Common Multiple of 813,180 using Common Division

3 813, 180
271, 60

∴ So the LCM of the given numbers is 3 x 271 x 60 = 48780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48780

Therefore, the GCF of Fractions 638/813,2011/180 is 1/48780

Least Common Multiple of 813,180 with GCF Formula

Least Common Multiple of 813,180 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 813,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,180) = 3

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

GCF(813,180) x common factors =3 x 1 = 3

LCM(813,180) = ( 813 × 180 ) / 3

LCM(813,180) = 146340 / 3

LCM(813,180) = 48780


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FAQs on GCF of Fractions of 638/813, 2011/180

1. What is the HCF of 638,2011?

The HCF of 638,2011 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 638/813, 2011/180?

Answer: GCF of Numerators as per given numbers 638/813, 2011/180 is

GCF of Numerators i.e. for 638,2011 is 1

LCM of denominators i.e. for 813,180 is 48780.

Thus, GCF of Fractions is 1/48780.Finally, GCF of Fractions for 638/813, 2011/180 is 1/48780.