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 4724/543, 9890/3789

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 4724/543, 9890/3789 i.e 2/685809 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4724/543, 9890/3789.

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 4724/543,9890/3789?

Given fractions are 4724/543,9890/3789

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 4724/543,9890/3789, numerators are 4724,9890

Denominators are 543,3789

The GCF of 4724,9890 is 2 .

LCM of 543,3789 is 685809.

The greatest common factor of 4724/543,9890/3789 = [GCF of 4724,9890]/[LCM of 543,3789]= 2/685809

Therefore, the GCF of 4724/543,9890/3789 is 2/685809.

Greatest Common Factor of 4724,9890

To find the highest common factor of 4724,9890, we have to find the factors of both numbers and list the highest common factor.

The factors of 4724 are 1, 2, 4, 1181, 2362, 4724

The factors of 9890 are 1, 2, 5, 10, 23, 43, 46, 86, 115, 215, 230, 430, 989, 1978, 4945, 9890

The HCF of 4724,9890 is 2.

Lets's calculate GCF of 4724,9890

Greatest Common Factor (GCF) of 4724,9890 By Common Division

2 4724, 9890
2362, 4945

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4724,9890 By Matching Biggest Common Factor Method

Greatest Common Factor of 4724,9890 By Matching Biggest Common Factor Method

Now, list down the factors of 4724

:

1,2,4,1181,2362,4724

Now, list down the factors of 9890

:

1,2,5,10,23,43,46,86,115,215,230,430,989,1978,4945,9890

Greatest Common Factor

We found the factors 4724,9890 . The biggest common factor number is the GCF number.
So the greatest common factor 4724,9890 is 2.


Lets's calculate LCM of 543,3789

Lowest Common Multiple of 543,3789 using Common Division

3 543, 3789
181, 1263

∴ So the LCM of the given numbers is 3 x 181 x 1263 = 685809

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/685809

Therefore, the GCF of Fractions 4724/543,9890/3789 is 2/685809

Least Common Multiple of 543,3789 with GCF Formula

Least Common Multiple of 543,3789 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 543,3789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,3789) = 3

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

GCF(543,3789) x common factors =3 x 1 = 3

LCM(543,3789) = ( 543 × 3789 ) / 3

LCM(543,3789) = 2057427 / 3

LCM(543,3789) = 685809


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4724/543, 9890/3789

1. What is the HCF of 4724,9890?

The HCF of 4724,9890 is 2

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 4724/543, 9890/3789?

Answer: GCF of Numerators as per given numbers 4724/543, 9890/3789 is

GCF of Numerators i.e. for 4724,9890 is 2

LCM of denominators i.e. for 543,3789 is 685809.

Thus, GCF of Fractions is 2/685809.Finally, GCF of Fractions for 4724/543, 9890/3789 is 2/685809.