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GCF of 618/272, 541/289

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 618/272, 541/289 i.e 1/4624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 618/272, 541/289.

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 618/272,541/289?

Given fractions are 618/272,541/289

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 618/272,541/289, numerators are 618,541

Denominators are 272,289

The GCF of 618,541 is 1 .

LCM of 272,289 is 4624.

The greatest common factor of 618/272,541/289 = [GCF of 618,541]/[LCM of 272,289]= 1/4624

Therefore, the GCF of 618/272,541/289 is 1/4624.

Greatest Common Factor of 618,541

To find the highest common factor of 618,541, we have to find the factors of both numbers and list the highest common factor.

The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618

The factors of 541 are 1, 541

The HCF of 618,541 is 1.

Lets's calculate GCF of 618,541

Greatest Common Factor (GCF) of 618,541 By Common Division

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

Greatest Common Factor of 618,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,541 By Matching Biggest Common Factor Method

Now, list down the factors of 618

:

1,2,3,6,103,206,309,618

Now, list down the factors of 541

:

1,541

Greatest Common Factor

We found the factors 618,541 . The biggest common factor number is the GCF number.
So the greatest common factor 618,541 is 1.

Lets's calculate LCM of 272,289

Lowest Common Multiple of 272,289 using Common Division

17 272, 289
16, 17

∴ So the LCM of the given numbers is 17 x 16 x 17 = 4624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4624

Therefore, the GCF of Fractions 618/272,541/289 is 1/4624

Least Common Multiple of 272,289 with GCF Formula

Least Common Multiple of 272,289 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 272,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,289) = 17

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

GCF(272,289) x common factors =17 x 1 = 17

LCM(272,289) = ( 272 × 289 ) / 17

LCM(272,289) = 78608 / 17

LCM(272,289) = 4624


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FAQs on GCF of Fractions of 618/272, 541/289

1. What is the HCF of 618,541?

The HCF of 618,541 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 618/272, 541/289?

Answer: GCF of Numerators as per given numbers 618/272, 541/289 is

GCF of Numerators i.e. for 618,541 is 1

LCM of denominators i.e. for 272,289 is 4624.

Thus, GCF of Fractions is 1/4624.Finally, GCF of Fractions for 618/272, 541/289 is 1/4624.