How to Find GCF of 8138/440, 6706/7339?

GCF of 8138/440, 6706/7339

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 8138/440, 6706/7339 i.e 2/3229160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8138/440, 6706/7339.

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 8138/440,6706/7339?

Given fractions are 8138/440,6706/7339

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 8138/440,6706/7339, numerators are 8138,6706

Denominators are 440,7339

The GCF of 8138,6706 is 2 .

LCM of 440,7339 is 3229160.

The greatest common factor of 8138/440,6706/7339 = [GCF of 8138,6706]/[LCM of 440,7339]= 2/3229160

Therefore, the GCF of 8138/440,6706/7339 is 2/3229160.

Greatest Common Factor of 8138,6706

To find the highest common factor of 8138,6706, we have to find the factors of both numbers and list the highest common factor.

The factors of 8138 are 1, 2, 13, 26, 313, 626, 4069, 8138

The factors of 6706 are 1, 2, 7, 14, 479, 958, 3353, 6706

The HCF of 8138,6706 is 2.

Lets's calculate GCF of 8138,6706

Greatest Common Factor (GCF) of 8138,6706 By Common Division

2	8138, 6706
	4069, 3353

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

Greatest Common Factor of 8138,6706 By Matching Biggest Common Factor Method

Now, list down the factors of 8138

1,2,13,26,313,626,4069,8138

Now, list down the factors of 6706

1,2,7,14,479,958,3353,6706

Greatest Common Factor

We found the factors 8138,6706 . The biggest common factor number is the GCF number.
So the greatest common factor 8138,6706 is 2.

Lets's calculate LCM of 440,7339

Lowest Common Multiple of 440,7339 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3229160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3229160

Therefore, the GCF of Fractions 8138/440,6706/7339 is 2/3229160

Least Common Multiple of 440,7339 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 440,7339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,7339) = 1

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

GCF(440,7339) x common factors =1 x 1 = 1

LCM(440,7339) = ( 440 × 7339 ) / 1

LCM(440,7339) = 3229160 / 1

LCM(440,7339) = 3229160

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FAQs on GCF of Fractions of 8138/440, 6706/7339

1. What is the HCF of 8138,6706?

The HCF of 8138,6706 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 8138/440, 6706/7339?

Answer: GCF of Numerators as per given numbers 8138/440, 6706/7339 is

GCF of Numerators i.e. for 8138,6706 is 2

LCM of denominators i.e. for 440,7339 is 3229160.

Thus, GCF of Fractions is 2/3229160.Finally, GCF of Fractions for 8138/440, 6706/7339 is 2/3229160.