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 144/363, 673/948

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 144/363, 673/948 i.e 1/114708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 144/363, 673/948.

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 144/363,673/948?

Given fractions are 144/363,673/948

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 144/363,673/948, numerators are 144,673

Denominators are 363,948

The GCF of 144,673 is 1 .

LCM of 363,948 is 114708.

The greatest common factor of 144/363,673/948 = [GCF of 144,673]/[LCM of 363,948]= 1/114708

Therefore, the GCF of 144/363,673/948 is 1/114708.

Greatest Common Factor of 144,673

To find the highest common factor of 144,673, we have to find the factors of both numbers and list the highest common factor.

The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The factors of 673 are 1, 673

The HCF of 144,673 is 1.

Lets's calculate GCF of 144,673

Greatest Common Factor (GCF) of 144,673 By Common Division

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

Greatest Common Factor of 144,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,673 By Matching Biggest Common Factor Method

Now, list down the factors of 144

:

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Now, list down the factors of 673

:

1,673

Greatest Common Factor

We found the factors 144,673 . The biggest common factor number is the GCF number.
So the greatest common factor 144,673 is 1.

Lets's calculate LCM of 363,948

Lowest Common Multiple of 363,948 using Common Division

3 363, 948
121, 316

∴ So the LCM of the given numbers is 3 x 121 x 316 = 114708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114708

Therefore, the GCF of Fractions 144/363,673/948 is 1/114708

Least Common Multiple of 363,948 with GCF Formula

Least Common Multiple of 363,948 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 363,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,948) = 3

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

GCF(363,948) x common factors =3 x 1 = 3

LCM(363,948) = ( 363 × 948 ) / 3

LCM(363,948) = 344124 / 3

LCM(363,948) = 114708


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 144/363, 673/948

1. What is the HCF of 144,673?

The HCF of 144,673 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 144/363, 673/948?

Answer: GCF of Numerators as per given numbers 144/363, 673/948 is

GCF of Numerators i.e. for 144,673 is 1

LCM of denominators i.e. for 363,948 is 114708.

Thus, GCF of Fractions is 1/114708.Finally, GCF of Fractions for 144/363, 673/948 is 1/114708.