Greatest Common Factor of 6075/256, 3395/4304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6075/256, 3395/4304

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 6075/256,3395/4304

Given fractions are 6075/256,3395/4304

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 6075,3395

Greatest Common Factor of Numerators i.e. GCF of 6075,3395 is 5 .

LCM of Denominators means LCM of 256,4304 as per the given fractions.

LCM of 256,4304 is 68864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6075,3395

GCF of Fractions 6075/256,3395/4304 is 5/68864

5 6075, 3395
1215, 679

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6075,3395 By Matching Biggest Common Factor Method

Greatest Common Factor of 6075,3395 By Matching Biggest Common Factor Method

Factors of 6075

List of positive integer factors of 6075 that divides 6075 without a remainder.

1,3,5,9,15,25,27,45,75,81,135,225,243,405,675,1215,2025,6075

Factors of 3395

List of positive integer factors of 3395 that divides 3395 without a remainder.

1,5,7,35,97,485,679,3395

Greatest Common Factor

We found the factors 6075,3395 . The biggest common factor number is the GCF number.
So the greatest common factor 6075,3395 is 5.

Lets's calculate LCM of 256,4304

2 256, 4304
2 128, 2152
2 64, 1076
2 32, 538
16, 269

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 16 x 269 = 68864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/68864

Therefore, the GCF of Fractions 6075/256,3395/4304 is 5/68864

Least Common Multiple of 256,4304 with GCF Formula

Least Common Multiple of 256,4304 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 256,4304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,4304) = 16

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

GCF(256,4304) x common factors =16 x 1 = 16

LCM(256,4304) = ( 256 × 4304 ) / 16

LCM(256,4304) = 1101824 / 16

LCM(256,4304) = 68864


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 6075/256, 3395/4304

1. 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.

2. What is the GCF of Fractions for 6075/256, 3395/4304?

Answer: GCF of Numerators as per given numbers 6075/256, 3395/4304 is

GCF of Numerators i.e. for 6075,3395 is 5

LCM of denominators i.e. for 256,4304 is 68864.

Thus, GCF of Fractions is 5/68864.Finally, GCF of Fractions for 6075/256, 3395/4304 is 5/68864.