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 2017/100, 2723/5740

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 2017/100, 2723/5740 i.e 1/28700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2017/100, 2723/5740.

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 2017/100,2723/5740?

Given fractions are 2017/100,2723/5740

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 2017/100,2723/5740, numerators are 2017,2723

Denominators are 100,5740

The GCF of 2017,2723 is 1 .

LCM of 100,5740 is 28700.

The greatest common factor of 2017/100,2723/5740 = [GCF of 2017,2723]/[LCM of 100,5740]= 1/28700

Therefore, the GCF of 2017/100,2723/5740 is 1/28700.

Greatest Common Factor of 2017,2723

To find the highest common factor of 2017,2723, we have to find the factors of both numbers and list the highest common factor.

The factors of 2017 are 1, 2017

The factors of 2723 are 1, 7, 389, 2723

The HCF of 2017,2723 is 1.

Lets's calculate GCF of 2017,2723

Greatest Common Factor (GCF) of 2017,2723 By Common Division

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

Greatest Common Factor of 2017,2723 By Matching Biggest Common Factor Method

Greatest Common Factor of 2017,2723 By Matching Biggest Common Factor Method

Now, list down the factors of 2017

:

1,2017

Now, list down the factors of 2723

:

1,7,389,2723

Greatest Common Factor

We found the factors 2017,2723 . The biggest common factor number is the GCF number.
So the greatest common factor 2017,2723 is 1.

Lets's calculate LCM of 100,5740

Lowest Common Multiple of 100,5740 using Common Division

2 100, 5740
2 50, 2870
5 25, 1435
5, 287

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 287 = 28700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28700

Therefore, the GCF of Fractions 2017/100,2723/5740 is 1/28700

Least Common Multiple of 100,5740 with GCF Formula

Least Common Multiple of 100,5740 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 100,5740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,5740) = 20

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

GCF(100,5740) x common factors =20 x 1 = 20

LCM(100,5740) = ( 100 × 5740 ) / 20

LCM(100,5740) = 574000 / 20

LCM(100,5740) = 28700


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2017/100, 2723/5740

1. What is the HCF of 2017,2723?

The HCF of 2017,2723 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 2017/100, 2723/5740?

Answer: GCF of Numerators as per given numbers 2017/100, 2723/5740 is

GCF of Numerators i.e. for 2017,2723 is 1

LCM of denominators i.e. for 100,5740 is 28700.

Thus, GCF of Fractions is 1/28700.Finally, GCF of Fractions for 2017/100, 2723/5740 is 1/28700.