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GCF of 743/53, 766/8293

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 743/53, 766/8293 i.e 1/439529 easily. The following is the detailed procedure to determine the greatest common factor of fractions 743/53, 766/8293.

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 743/53,766/8293?

Given fractions are 743/53,766/8293

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 743/53,766/8293, numerators are 743,766

Denominators are 53,8293

The GCF of 743,766 is 1 .

LCM of 53,8293 is 439529.

The greatest common factor of 743/53,766/8293 = [GCF of 743,766]/[LCM of 53,8293]= 1/439529

Therefore, the GCF of 743/53,766/8293 is 1/439529.

Greatest Common Factor of 743,766

To find the highest common factor of 743,766, 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 766 are 1, 2, 383, 766

The HCF of 743,766 is 1.

Lets's calculate GCF of 743,766

Greatest Common Factor (GCF) of 743,766 By Common Division

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

Greatest Common Factor of 743,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,766 By Matching Biggest Common Factor Method

Now, list down the factors of 743

:

1,743

Now, list down the factors of 766

:

1,2,383,766

Greatest Common Factor

We found the factors 743,766 . The biggest common factor number is the GCF number.
So the greatest common factor 743,766 is 1.

Lets's calculate LCM of 53,8293

Lowest Common Multiple of 53,8293 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 439529

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/439529

Therefore, the GCF of Fractions 743/53,766/8293 is 1/439529

Least Common Multiple of 53,8293 with GCF Formula

Least Common Multiple of 53,8293 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 53,8293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,8293) = 1

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

GCF(53,8293) x common factors =1 x 1 = 1

LCM(53,8293) = ( 53 × 8293 ) / 1

LCM(53,8293) = 439529 / 1

LCM(53,8293) = 439529


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FAQs on GCF of Fractions of 743/53, 766/8293

1. What is the HCF of 743,766?

The HCF of 743,766 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 743/53, 766/8293?

Answer: GCF of Numerators as per given numbers 743/53, 766/8293 is

GCF of Numerators i.e. for 743,766 is 1

LCM of denominators i.e. for 53,8293 is 439529.

Thus, GCF of Fractions is 1/439529.Finally, GCF of Fractions for 743/53, 766/8293 is 1/439529.