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GCF of 743/14, 568/404

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 743/14, 568/404 i.e 1/2828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 743/14, 568/404.

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 743/14,568/404?

Given fractions are 743/14,568/404

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 743/14,568/404, numerators are 743,568

Denominators are 14,404

The GCF of 743,568 is 1 .

LCM of 14,404 is 2828.

The greatest common factor of 743/14,568/404 = [GCF of 743,568]/[LCM of 14,404]= 1/2828

Therefore, the GCF of 743/14,568/404 is 1/2828.

Greatest Common Factor of 743,568

To find the highest common factor of 743,568, we have to find the factors of both numbers and list the highest common factor.

The factors of 743 are 1, 743

The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568

The HCF of 743,568 is 1.

Lets's calculate GCF of 743,568

Greatest Common Factor (GCF) of 743,568 By Common Division

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

Greatest Common Factor of 743,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,568 By Matching Biggest Common Factor Method

Now, list down the factors of 743

:

1,743

Now, list down the factors of 568

:

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 743,568 . The biggest common factor number is the GCF number.
So the greatest common factor 743,568 is 1.

Lets's calculate LCM of 14,404

Lowest Common Multiple of 14,404 using Common Division

2 14, 404
7, 202

∴ So the LCM of the given numbers is 2 x 7 x 202 = 2828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2828

Therefore, the GCF of Fractions 743/14,568/404 is 1/2828

Least Common Multiple of 14,404 with GCF Formula

Least Common Multiple of 14,404 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 14,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,404) = 2

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

GCF(14,404) x common factors =2 x 1 = 2

LCM(14,404) = ( 14 × 404 ) / 2

LCM(14,404) = 5656 / 2

LCM(14,404) = 2828


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FAQs on GCF of Fractions of 743/14, 568/404

1. What is the HCF of 743,568?

The HCF of 743,568 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 743/14, 568/404?

Answer: GCF of Numerators as per given numbers 743/14, 568/404 is

GCF of Numerators i.e. for 743,568 is 1

LCM of denominators i.e. for 14,404 is 2828.

Thus, GCF of Fractions is 1/2828.Finally, GCF of Fractions for 743/14, 568/404 is 1/2828.