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 6813/173, 4100/3432

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 6813/173, 4100/3432 i.e 1/593736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6813/173, 4100/3432.

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 6813/173,4100/3432?

Given fractions are 6813/173,4100/3432

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 6813/173,4100/3432, numerators are 6813,4100

Denominators are 173,3432

The GCF of 6813,4100 is 1 .

LCM of 173,3432 is 593736.

The greatest common factor of 6813/173,4100/3432 = [GCF of 6813,4100]/[LCM of 173,3432]= 1/593736

Therefore, the GCF of 6813/173,4100/3432 is 1/593736.

Greatest Common Factor of 6813,4100

To find the highest common factor of 6813,4100, we have to find the factors of both numbers and list the highest common factor.

The factors of 6813 are 1, 3, 9, 757, 2271, 6813

The factors of 4100 are 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100

The HCF of 6813,4100 is 1.

Lets's calculate GCF of 6813,4100

Greatest Common Factor (GCF) of 6813,4100 By Common Division

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

Greatest Common Factor of 6813,4100 By Matching Biggest Common Factor Method

Greatest Common Factor of 6813,4100 By Matching Biggest Common Factor Method

Now, list down the factors of 6813

:

1,3,9,757,2271,6813

Now, list down the factors of 4100

:

1,2,4,5,10,20,25,41,50,82,100,164,205,410,820,1025,2050,4100

Greatest Common Factor

We found the factors 6813,4100 . The biggest common factor number is the GCF number.
So the greatest common factor 6813,4100 is 1.


Lets's calculate LCM of 173,3432

Lowest Common Multiple of 173,3432 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 593736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/593736

Therefore, the GCF of Fractions 6813/173,4100/3432 is 1/593736

Least Common Multiple of 173,3432 with GCF Formula

Least Common Multiple of 173,3432 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 173,3432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,3432) = 1

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

GCF(173,3432) x common factors =1 x 1 = 1

LCM(173,3432) = ( 173 × 3432 ) / 1

LCM(173,3432) = 593736 / 1

LCM(173,3432) = 593736


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6813/173, 4100/3432

1. What is the HCF of 6813,4100?

The HCF of 6813,4100 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 6813/173, 4100/3432?

Answer: GCF of Numerators as per given numbers 6813/173, 4100/3432 is

GCF of Numerators i.e. for 6813,4100 is 1

LCM of denominators i.e. for 173,3432 is 593736.

Thus, GCF of Fractions is 1/593736.Finally, GCF of Fractions for 6813/173, 4100/3432 is 1/593736.