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GCF of 673/18, 303/138

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 673/18, 303/138 i.e 1/414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 673/18, 303/138.

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 673/18,303/138?

Given fractions are 673/18,303/138

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 673/18,303/138, numerators are 673,303

Denominators are 18,138

The GCF of 673,303 is 1 .

LCM of 18,138 is 414.

The greatest common factor of 673/18,303/138 = [GCF of 673,303]/[LCM of 18,138]= 1/414

Therefore, the GCF of 673/18,303/138 is 1/414.

Greatest Common Factor of 673,303

To find the highest common factor of 673,303, 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 303 are 1, 3, 101, 303

The HCF of 673,303 is 1.

Lets's calculate GCF of 673,303

Greatest Common Factor (GCF) of 673,303 By Common Division

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

Greatest Common Factor of 673,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,303 By Matching Biggest Common Factor Method

Now, list down the factors of 673

:

1,673

Now, list down the factors of 303

:

1,3,101,303

Greatest Common Factor

We found the factors 673,303 . The biggest common factor number is the GCF number.
So the greatest common factor 673,303 is 1.

Lets's calculate LCM of 18,138

Lowest Common Multiple of 18,138 using Common Division

2 18, 138
3 9, 69
3, 23

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 = 414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414

Therefore, the GCF of Fractions 673/18,303/138 is 1/414

Least Common Multiple of 18,138 with GCF Formula

Least Common Multiple of 18,138 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 18,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,138) = 6

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

GCF(18,138) x common factors =6 x 1 = 6

LCM(18,138) = ( 18 × 138 ) / 6

LCM(18,138) = 2484 / 6

LCM(18,138) = 414


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FAQs on GCF of Fractions of 673/18, 303/138

1. What is the HCF of 673,303?

The HCF of 673,303 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 673/18, 303/138?

Answer: GCF of Numerators as per given numbers 673/18, 303/138 is

GCF of Numerators i.e. for 673,303 is 1

LCM of denominators i.e. for 18,138 is 414.

Thus, GCF of Fractions is 1/414.Finally, GCF of Fractions for 673/18, 303/138 is 1/414.