How to Find GCF of 7206/592, 7306/7865?

GCF of 7206/592, 7306/7865

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 7206/592, 7306/7865 i.e 2/4656080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7206/592, 7306/7865.

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 7206/592,7306/7865?

Given fractions are 7206/592,7306/7865

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 7206/592,7306/7865, numerators are 7206,7306

Denominators are 592,7865

The GCF of 7206,7306 is 2 .

LCM of 592,7865 is 4656080.

The greatest common factor of 7206/592,7306/7865 = [GCF of 7206,7306]/[LCM of 592,7865]= 2/4656080

Therefore, the GCF of 7206/592,7306/7865 is 2/4656080.

Greatest Common Factor of 7206,7306

To find the highest common factor of 7206,7306, we have to find the factors of both numbers and list the highest common factor.

The factors of 7206 are 1, 2, 3, 6, 1201, 2402, 3603, 7206

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

The HCF of 7206,7306 is 2.

Lets's calculate GCF of 7206,7306

Greatest Common Factor (GCF) of 7206,7306 By Common Division

2	7206, 7306
	3603, 3653

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7206,7306 By Matching Biggest Common Factor Method

Now, list down the factors of 7206

1,2,3,6,1201,2402,3603,7206

Now, list down the factors of 7306

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

Greatest Common Factor

We found the factors 7206,7306 . The biggest common factor number is the GCF number.
So the greatest common factor 7206,7306 is 2.

Lets's calculate LCM of 592,7865

Lowest Common Multiple of 592,7865 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4656080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4656080

Therefore, the GCF of Fractions 7206/592,7306/7865 is 2/4656080

Least Common Multiple of 592,7865 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 592,7865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,7865) = 1

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

GCF(592,7865) x common factors =1 x 1 = 1

LCM(592,7865) = ( 592 × 7865 ) / 1

LCM(592,7865) = 4656080 / 1

LCM(592,7865) = 4656080

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FAQs on GCF of Fractions of 7206/592, 7306/7865

1. What is the HCF of 7206,7306?

The HCF of 7206,7306 is 2

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 7206/592, 7306/7865?

Answer: GCF of Numerators as per given numbers 7206/592, 7306/7865 is

GCF of Numerators i.e. for 7206,7306 is 2

LCM of denominators i.e. for 592,7865 is 4656080.

Thus, GCF of Fractions is 2/4656080.Finally, GCF of Fractions for 7206/592, 7306/7865 is 2/4656080.