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GCF of 6754/83, 7723/179

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 6754/83, 7723/179 i.e 1/14857 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6754/83, 7723/179.

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 6754/83,7723/179?

Given fractions are 6754/83,7723/179

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 6754/83,7723/179, numerators are 6754,7723

Denominators are 83,179

The GCF of 6754,7723 is 1 .

LCM of 83,179 is 14857.

The greatest common factor of 6754/83,7723/179 = [GCF of 6754,7723]/[LCM of 83,179]= 1/14857

Therefore, the GCF of 6754/83,7723/179 is 1/14857.

Greatest Common Factor of 6754,7723

To find the highest common factor of 6754,7723, we have to find the factors of both numbers and list the highest common factor.

The factors of 6754 are 1, 2, 11, 22, 307, 614, 3377, 6754

The factors of 7723 are 1, 7723

The HCF of 6754,7723 is 1.

Lets's calculate GCF of 6754,7723

Greatest Common Factor (GCF) of 6754,7723 By Common Division

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

Greatest Common Factor of 6754,7723 By Matching Biggest Common Factor Method

Greatest Common Factor of 6754,7723 By Matching Biggest Common Factor Method

Now, list down the factors of 6754

:

1,2,11,22,307,614,3377,6754

Now, list down the factors of 7723

:

1,7723

Greatest Common Factor

We found the factors 6754,7723 . The biggest common factor number is the GCF number.
So the greatest common factor 6754,7723 is 1.

Lets's calculate LCM of 83,179

Lowest Common Multiple of 83,179 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 14857

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14857

Therefore, the GCF of Fractions 6754/83,7723/179 is 1/14857

Least Common Multiple of 83,179 with GCF Formula

Least Common Multiple of 83,179 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 83,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,179) = 1

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

GCF(83,179) x common factors =1 x 1 = 1

LCM(83,179) = ( 83 × 179 ) / 1

LCM(83,179) = 14857 / 1

LCM(83,179) = 14857


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FAQs on GCF of Fractions of 6754/83, 7723/179

1. What is the HCF of 6754,7723?

The HCF of 6754,7723 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 6754/83, 7723/179?

Answer: GCF of Numerators as per given numbers 6754/83, 7723/179 is

GCF of Numerators i.e. for 6754,7723 is 1

LCM of denominators i.e. for 83,179 is 14857.

Thus, GCF of Fractions is 1/14857.Finally, GCF of Fractions for 6754/83, 7723/179 is 1/14857.