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GCF of 673/23, 398/676

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 673/23, 398/676 i.e 1/15548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 673/23, 398/676.

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 673/23,398/676?

Given fractions are 673/23,398/676

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 673/23,398/676, numerators are 673,398

Denominators are 23,676

The GCF of 673,398 is 1 .

LCM of 23,676 is 15548.

The greatest common factor of 673/23,398/676 = [GCF of 673,398]/[LCM of 23,676]= 1/15548

Therefore, the GCF of 673/23,398/676 is 1/15548.

Greatest Common Factor of 673,398

To find the highest common factor of 673,398, 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 398 are 1, 2, 199, 398

The HCF of 673,398 is 1.

Lets's calculate GCF of 673,398

Greatest Common Factor (GCF) of 673,398 By Common Division

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

Greatest Common Factor of 673,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,398 By Matching Biggest Common Factor Method

Now, list down the factors of 673

:

1,673

Now, list down the factors of 398

:

1,2,199,398

Greatest Common Factor

We found the factors 673,398 . The biggest common factor number is the GCF number.
So the greatest common factor 673,398 is 1.

Lets's calculate LCM of 23,676

Lowest Common Multiple of 23,676 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 15548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15548

Therefore, the GCF of Fractions 673/23,398/676 is 1/15548

Least Common Multiple of 23,676 with GCF Formula

Least Common Multiple of 23,676 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 23,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,676) = 1

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

GCF(23,676) x common factors =1 x 1 = 1

LCM(23,676) = ( 23 × 676 ) / 1

LCM(23,676) = 15548 / 1

LCM(23,676) = 15548


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FAQs on GCF of Fractions of 673/23, 398/676

1. What is the HCF of 673,398?

The HCF of 673,398 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 673/23, 398/676?

Answer: GCF of Numerators as per given numbers 673/23, 398/676 is

GCF of Numerators i.e. for 673,398 is 1

LCM of denominators i.e. for 23,676 is 15548.

Thus, GCF of Fractions is 1/15548.Finally, GCF of Fractions for 673/23, 398/676 is 1/15548.