How to Find GCF of 6368/241, 9316/3459?

GCF of 6368/241, 9316/3459

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 6368/241, 9316/3459 i.e 4/833619 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6368/241, 9316/3459.

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 6368/241,9316/3459?

Given fractions are 6368/241,9316/3459

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 6368/241,9316/3459, numerators are 6368,9316

Denominators are 241,3459

The GCF of 6368,9316 is 4 .

LCM of 241,3459 is 833619.

The greatest common factor of 6368/241,9316/3459 = [GCF of 6368,9316]/[LCM of 241,3459]= 4/833619

Therefore, the GCF of 6368/241,9316/3459 is 4/833619.

Greatest Common Factor of 6368,9316

To find the highest common factor of 6368,9316, we have to find the factors of both numbers and list the highest common factor.

The factors of 6368 are 1, 2, 4, 8, 16, 32, 199, 398, 796, 1592, 3184, 6368

The factors of 9316 are 1, 2, 4, 17, 34, 68, 137, 274, 548, 2329, 4658, 9316

The HCF of 6368,9316 is 4.

Lets's calculate GCF of 6368,9316

Greatest Common Factor (GCF) of 6368,9316 By Common Division

2	6368, 9316
2	3184, 4658
	1592, 2329

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6368,9316 By Matching Biggest Common Factor Method

Now, list down the factors of 6368

1,2,4,8,16,32,199,398,796,1592,3184,6368

Now, list down the factors of 9316

1,2,4,17,34,68,137,274,548,2329,4658,9316

Greatest Common Factor

We found the factors 6368,9316 . The biggest common factor number is the GCF number.
So the greatest common factor 6368,9316 is 4.

Lets's calculate LCM of 241,3459

Lowest Common Multiple of 241,3459 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 833619

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/833619

Therefore, the GCF of Fractions 6368/241,9316/3459 is 4/833619

Least Common Multiple of 241,3459 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 241,3459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,3459) = 1

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

GCF(241,3459) x common factors =1 x 1 = 1

LCM(241,3459) = ( 241 × 3459 ) / 1

LCM(241,3459) = 833619 / 1

LCM(241,3459) = 833619

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FAQs on GCF of Fractions of 6368/241, 9316/3459

1. What is the HCF of 6368,9316?

The HCF of 6368,9316 is 4

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 6368/241, 9316/3459?

Answer: GCF of Numerators as per given numbers 6368/241, 9316/3459 is

GCF of Numerators i.e. for 6368,9316 is 4

LCM of denominators i.e. for 241,3459 is 833619.

Thus, GCF of Fractions is 4/833619.Finally, GCF of Fractions for 6368/241, 9316/3459 is 4/833619.