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 3853/30, 3638/743

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 3853/30, 3638/743 i.e 1/22290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3853/30, 3638/743.

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 3853/30,3638/743?

Given fractions are 3853/30,3638/743

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 3853/30,3638/743, numerators are 3853,3638

Denominators are 30,743

The GCF of 3853,3638 is 1 .

LCM of 30,743 is 22290.

The greatest common factor of 3853/30,3638/743 = [GCF of 3853,3638]/[LCM of 30,743]= 1/22290

Therefore, the GCF of 3853/30,3638/743 is 1/22290.

Greatest Common Factor of 3853,3638

To find the highest common factor of 3853,3638, we have to find the factors of both numbers and list the highest common factor.

The factors of 3853 are 1, 3853

The factors of 3638 are 1, 2, 17, 34, 107, 214, 1819, 3638

The HCF of 3853,3638 is 1.

Lets's calculate GCF of 3853,3638

Greatest Common Factor (GCF) of 3853,3638 By Common Division

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

Greatest Common Factor of 3853,3638 By Matching Biggest Common Factor Method

Greatest Common Factor of 3853,3638 By Matching Biggest Common Factor Method

Now, list down the factors of 3853

:

1,3853

Now, list down the factors of 3638

:

1,2,17,34,107,214,1819,3638

Greatest Common Factor

We found the factors 3853,3638 . The biggest common factor number is the GCF number.
So the greatest common factor 3853,3638 is 1.

Lets's calculate LCM of 30,743

Lowest Common Multiple of 30,743 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 22290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22290

Therefore, the GCF of Fractions 3853/30,3638/743 is 1/22290

Least Common Multiple of 30,743 with GCF Formula

Least Common Multiple of 30,743 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 30,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,743) = 1

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

GCF(30,743) x common factors =1 x 1 = 1

LCM(30,743) = ( 30 × 743 ) / 1

LCM(30,743) = 22290 / 1

LCM(30,743) = 22290


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3853/30, 3638/743

1. What is the HCF of 3853,3638?

The HCF of 3853,3638 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 3853/30, 3638/743?

Answer: GCF of Numerators as per given numbers 3853/30, 3638/743 is

GCF of Numerators i.e. for 3853,3638 is 1

LCM of denominators i.e. for 30,743 is 22290.

Thus, GCF of Fractions is 1/22290.Finally, GCF of Fractions for 3853/30, 3638/743 is 1/22290.