How to Find GCF of 6304/315, 3640/5456?

GCF of 6304/315, 3640/5456

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 6304/315, 3640/5456 i.e 8/1718640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6304/315, 3640/5456.

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 6304/315,3640/5456?

Given fractions are 6304/315,3640/5456

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 6304/315,3640/5456, numerators are 6304,3640

Denominators are 315,5456

The GCF of 6304,3640 is 8 .

LCM of 315,5456 is 1718640.

The greatest common factor of 6304/315,3640/5456 = [GCF of 6304,3640]/[LCM of 315,5456]= 8/1718640

Therefore, the GCF of 6304/315,3640/5456 is 8/1718640.

Greatest Common Factor of 6304,3640

To find the highest common factor of 6304,3640, we have to find the factors of both numbers and list the highest common factor.

The factors of 6304 are 1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152, 6304

The factors of 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640

The HCF of 6304,3640 is 8.

Lets's calculate GCF of 6304,3640

Greatest Common Factor (GCF) of 6304,3640 By Common Division

2	6304, 3640
2	3152, 1820
2	1576, 910
	788, 455

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 6304,3640 By Matching Biggest Common Factor Method

Now, list down the factors of 6304

1,2,4,8,16,32,197,394,788,1576,3152,6304

Now, list down the factors of 3640

1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640

Greatest Common Factor

We found the factors 6304,3640 . The biggest common factor number is the GCF number.
So the greatest common factor 6304,3640 is 8.

Lets's calculate LCM of 315,5456

Lowest Common Multiple of 315,5456 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1718640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1718640

Therefore, the GCF of Fractions 6304/315,3640/5456 is 8/1718640

Least Common Multiple of 315,5456 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 315,5456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,5456) = 1

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

GCF(315,5456) x common factors =1 x 1 = 1

LCM(315,5456) = ( 315 × 5456 ) / 1

LCM(315,5456) = 1718640 / 1

LCM(315,5456) = 1718640

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6304/315, 3640/5456

1. What is the HCF of 6304,3640?

The HCF of 6304,3640 is 8

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 6304/315, 3640/5456?

Answer: GCF of Numerators as per given numbers 6304/315, 3640/5456 is

GCF of Numerators i.e. for 6304,3640 is 8

LCM of denominators i.e. for 315,5456 is 1718640.

Thus, GCF of Fractions is 8/1718640.Finally, GCF of Fractions for 6304/315, 3640/5456 is 8/1718640.