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 673/992, 673/177

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 673/992, 673/177 i.e 673/175584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 673/992, 673/177.

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 673/992,673/177?

Given fractions are 673/992,673/177

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 673/992,673/177, numerators are 673,673

Denominators are 992,177

The GCF of 673,673 is 673 .

LCM of 992,177 is 175584.

The greatest common factor of 673/992,673/177 = [GCF of 673,673]/[LCM of 992,177]= 673/175584

Therefore, the GCF of 673/992,673/177 is 673/175584.

Greatest Common Factor of 673,673

To find the highest common factor of 673,673, we have to find the factors of both numbers and list the highest common factor.

The factors of 673 are 1, 673

The factors of 673 are 1, 673

The HCF of 673,673 is 673.

Lets's calculate GCF of 673,673

Greatest Common Factor (GCF) of 673,673 By Common Division

673 673, 673
1, 1

∴ So the GCF of the given numbers is 673 = 673

Greatest Common Factor of 673,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,673 By Matching Biggest Common Factor Method

Now, list down the factors of 673

:

1,673

Now, list down the factors of 673

:

1,673

Greatest Common Factor

We found the factors 673,673 . The biggest common factor number is the GCF number.
So the greatest common factor 673,673 is 673.

Lets's calculate LCM of 992,177

Lowest Common Multiple of 992,177 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 175584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 673/175584

Therefore, the GCF of Fractions 673/992,673/177 is 673/175584

Least Common Multiple of 992,177 with GCF Formula

Least Common Multiple of 992,177 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 992,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,177) = 1

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

GCF(992,177) x common factors =1 x 1 = 1

LCM(992,177) = ( 992 × 177 ) / 1

LCM(992,177) = 175584 / 1

LCM(992,177) = 175584


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 673/992, 673/177

1. What is the HCF of 673,673?

The HCF of 673,673 is 673

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 673/992, 673/177?

Answer: GCF of Numerators as per given numbers 673/992, 673/177 is

GCF of Numerators i.e. for 673,673 is 673

LCM of denominators i.e. for 992,177 is 175584.

Thus, GCF of Fractions is 673/175584.Finally, GCF of Fractions for 673/992, 673/177 is 673/175584.