How to Find GCF of 3219/308, 8043/7713?

GCF of 3219/308, 8043/7713

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 3219/308, 8043/7713 i.e 3/2375604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3219/308, 8043/7713.

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 3219/308,8043/7713?

Given fractions are 3219/308,8043/7713

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 3219/308,8043/7713, numerators are 3219,8043

Denominators are 308,7713

The GCF of 3219,8043 is 3 .

LCM of 308,7713 is 2375604.

The greatest common factor of 3219/308,8043/7713 = [GCF of 3219,8043]/[LCM of 308,7713]= 3/2375604

Therefore, the GCF of 3219/308,8043/7713 is 3/2375604.

Greatest Common Factor of 3219,8043

To find the highest common factor of 3219,8043, we have to find the factors of both numbers and list the highest common factor.

The factors of 3219 are 1, 3, 29, 37, 87, 111, 1073, 3219

The factors of 8043 are 1, 3, 7, 21, 383, 1149, 2681, 8043

The HCF of 3219,8043 is 3.

Lets's calculate GCF of 3219,8043

Greatest Common Factor (GCF) of 3219,8043 By Common Division

3	3219, 8043
	1073, 2681

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3219,8043 By Matching Biggest Common Factor Method

Now, list down the factors of 3219

1,3,29,37,87,111,1073,3219

Now, list down the factors of 8043

1,3,7,21,383,1149,2681,8043

Greatest Common Factor

We found the factors 3219,8043 . The biggest common factor number is the GCF number.
So the greatest common factor 3219,8043 is 3.

Lets's calculate LCM of 308,7713

Lowest Common Multiple of 308,7713 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2375604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2375604

Therefore, the GCF of Fractions 3219/308,8043/7713 is 3/2375604

Least Common Multiple of 308,7713 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 308,7713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,7713) = 1

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

GCF(308,7713) x common factors =1 x 1 = 1

LCM(308,7713) = ( 308 × 7713 ) / 1

LCM(308,7713) = 2375604 / 1

LCM(308,7713) = 2375604

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FAQs on GCF of Fractions of 3219/308, 8043/7713

1. What is the HCF of 3219,8043?

The HCF of 3219,8043 is 3

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 3219/308, 8043/7713?

Answer: GCF of Numerators as per given numbers 3219/308, 8043/7713 is

GCF of Numerators i.e. for 3219,8043 is 3

LCM of denominators i.e. for 308,7713 is 2375604.

Thus, GCF of Fractions is 3/2375604.Finally, GCF of Fractions for 3219/308, 8043/7713 is 3/2375604.