LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 271/20, 541/581

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 271/20, 541/581 i.e 1/11620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 271/20, 541/581.

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 271/20,541/581?

Given fractions are 271/20,541/581

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 271/20,541/581, numerators are 271,541

Denominators are 20,581

The GCF of 271,541 is 1 .

LCM of 20,581 is 11620.

The greatest common factor of 271/20,541/581 = [GCF of 271,541]/[LCM of 20,581]= 1/11620

Therefore, the GCF of 271/20,541/581 is 1/11620.

Greatest Common Factor of 271,541

To find the highest common factor of 271,541, we have to find the factors of both numbers and list the highest common factor.

The factors of 271 are 1, 271

The factors of 541 are 1, 541

The HCF of 271,541 is 1.

Lets's calculate GCF of 271,541

Greatest Common Factor (GCF) of 271,541 By Common Division

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

Greatest Common Factor of 271,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,541 By Matching Biggest Common Factor Method

Now, list down the factors of 271

:

1,271

Now, list down the factors of 541

:

1,541

Greatest Common Factor

We found the factors 271,541 . The biggest common factor number is the GCF number.
So the greatest common factor 271,541 is 1.

Lets's calculate LCM of 20,581

Lowest Common Multiple of 20,581 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 11620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11620

Therefore, the GCF of Fractions 271/20,541/581 is 1/11620

Least Common Multiple of 20,581 with GCF Formula

Least Common Multiple of 20,581 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 20,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,581) = 1

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

GCF(20,581) x common factors =1 x 1 = 1

LCM(20,581) = ( 20 × 581 ) / 1

LCM(20,581) = 11620 / 1

LCM(20,581) = 11620


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 271/20, 541/581

1. What is the HCF of 271,541?

The HCF of 271,541 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 271/20, 541/581?

Answer: GCF of Numerators as per given numbers 271/20, 541/581 is

GCF of Numerators i.e. for 271,541 is 1

LCM of denominators i.e. for 20,581 is 11620.

Thus, GCF of Fractions is 1/11620.Finally, GCF of Fractions for 271/20, 541/581 is 1/11620.