How to Find GCF of 5704/256, 5849/2663?

GCF of 5704/256, 5849/2663

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 5704/256, 5849/2663 i.e 1/681728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5704/256, 5849/2663.

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 5704/256,5849/2663?

Given fractions are 5704/256,5849/2663

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 5704/256,5849/2663, numerators are 5704,5849

Denominators are 256,2663

The GCF of 5704,5849 is 1 .

LCM of 256,2663 is 681728.

The greatest common factor of 5704/256,5849/2663 = [GCF of 5704,5849]/[LCM of 256,2663]= 1/681728

Therefore, the GCF of 5704/256,5849/2663 is 1/681728.

Greatest Common Factor of 5704,5849

To find the highest common factor of 5704,5849, we have to find the factors of both numbers and list the highest common factor.

The factors of 5704 are 1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852, 5704

The factors of 5849 are 1, 5849

The HCF of 5704,5849 is 1.

Lets's calculate GCF of 5704,5849

Greatest Common Factor (GCF) of 5704,5849 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5704,5849 By Matching Biggest Common Factor Method

Now, list down the factors of 5704

1,2,4,8,23,31,46,62,92,124,184,248,713,1426,2852,5704

Now, list down the factors of 5849

1,5849

Greatest Common Factor

We found the factors 5704,5849 . The biggest common factor number is the GCF number.
So the greatest common factor 5704,5849 is 1.

Lets's calculate LCM of 256,2663

Lowest Common Multiple of 256,2663 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 681728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/681728

Therefore, the GCF of Fractions 5704/256,5849/2663 is 1/681728

Least Common Multiple of 256,2663 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 256,2663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,2663) = 1

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

GCF(256,2663) x common factors =1 x 1 = 1

LCM(256,2663) = ( 256 × 2663 ) / 1

LCM(256,2663) = 681728 / 1

LCM(256,2663) = 681728

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5704/256, 5849/2663

1. What is the HCF of 5704,5849?

The HCF of 5704,5849 is 1

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 5704/256, 5849/2663?

Answer: GCF of Numerators as per given numbers 5704/256, 5849/2663 is

GCF of Numerators i.e. for 5704,5849 is 1

LCM of denominators i.e. for 256,2663 is 681728.

Thus, GCF of Fractions is 1/681728.Finally, GCF of Fractions for 5704/256, 5849/2663 is 1/681728.