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 723/992, 375/187

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 723/992, 375/187 i.e 3/185504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 723/992, 375/187.

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 723/992,375/187?

Given fractions are 723/992,375/187

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 723/992,375/187, numerators are 723,375

Denominators are 992,187

The GCF of 723,375 is 3 .

LCM of 992,187 is 185504.

The greatest common factor of 723/992,375/187 = [GCF of 723,375]/[LCM of 992,187]= 3/185504

Therefore, the GCF of 723/992,375/187 is 3/185504.

Greatest Common Factor of 723,375

To find the highest common factor of 723,375, we have to find the factors of both numbers and list the highest common factor.

The factors of 723 are 1, 3, 241, 723

The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375

The HCF of 723,375 is 3.

Lets's calculate GCF of 723,375

Greatest Common Factor (GCF) of 723,375 By Common Division

3 723, 375
241, 125

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 723,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,375 By Matching Biggest Common Factor Method

Now, list down the factors of 723

:

1,3,241,723

Now, list down the factors of 375

:

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 723,375 . The biggest common factor number is the GCF number.
So the greatest common factor 723,375 is 3.

Lets's calculate LCM of 992,187

Lowest Common Multiple of 992,187 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 185504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/185504

Therefore, the GCF of Fractions 723/992,375/187 is 3/185504

Least Common Multiple of 992,187 with GCF Formula

Least Common Multiple of 992,187 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 992,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,187) = 1

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

GCF(992,187) x common factors =1 x 1 = 1

LCM(992,187) = ( 992 × 187 ) / 1

LCM(992,187) = 185504 / 1

LCM(992,187) = 185504


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 723/992, 375/187

1. What is the HCF of 723,375?

The HCF of 723,375 is 3

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 723/992, 375/187?

Answer: GCF of Numerators as per given numbers 723/992, 375/187 is

GCF of Numerators i.e. for 723,375 is 3

LCM of denominators i.e. for 992,187 is 185504.

Thus, GCF of Fractions is 3/185504.Finally, GCF of Fractions for 723/992, 375/187 is 3/185504.