How to Find GCF of 7306/733, 7371/8531?

GCF of 7306/733, 7371/8531

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 7306/733, 7371/8531 i.e 13/6253223 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7306/733, 7371/8531.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 7306/733,7371/8531?

Given fractions are 7306/733,7371/8531

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 7306/733,7371/8531, numerators are 7306,7371

Denominators are 733,8531

The GCF of 7306,7371 is 13 .

LCM of 733,8531 is 6253223.

The greatest common factor of 7306/733,7371/8531 = [GCF of 7306,7371]/[LCM of 733,8531]= 13/6253223

Therefore, the GCF of 7306/733,7371/8531 is 13/6253223.

Greatest Common Factor of 7306,7371

To find the highest common factor of 7306,7371, we have to find the factors of both numbers and list the highest common factor.

The factors of 7306 are 1, 2, 13, 26, 281, 562, 3653, 7306

The factors of 7371 are 1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 273, 351, 567, 819, 1053, 2457, 7371

The HCF of 7306,7371 is 13.

Lets's calculate GCF of 7306,7371

Greatest Common Factor (GCF) of 7306,7371 By Common Division

13	7306, 7371
	562, 567

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 7306,7371 By Matching Biggest Common Factor Method

Now, list down the factors of 7306

1,2,13,26,281,562,3653,7306

Now, list down the factors of 7371

1,3,7,9,13,21,27,39,63,81,91,117,189,273,351,567,819,1053,2457,7371

Greatest Common Factor

We found the factors 7306,7371 . The biggest common factor number is the GCF number.
So the greatest common factor 7306,7371 is 13.

Lets's calculate LCM of 733,8531

Lowest Common Multiple of 733,8531 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6253223

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/6253223

Therefore, the GCF of Fractions 7306/733,7371/8531 is 13/6253223

Least Common Multiple of 733,8531 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 733,8531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,8531) = 1

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

GCF(733,8531) x common factors =1 x 1 = 1

LCM(733,8531) = ( 733 × 8531 ) / 1

LCM(733,8531) = 6253223 / 1

LCM(733,8531) = 6253223

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7306/733, 7371/8531

1. What is the HCF of 7306,7371?

The HCF of 7306,7371 is 13

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 7306/733, 7371/8531?

Answer: GCF of Numerators as per given numbers 7306/733, 7371/8531 is

GCF of Numerators i.e. for 7306,7371 is 13

LCM of denominators i.e. for 733,8531 is 6253223.

Thus, GCF of Fractions is 13/6253223.Finally, GCF of Fractions for 7306/733, 7371/8531 is 13/6253223.