How to Find GCF of 8451/368, 5549/4608?

GCF of 8451/368, 5549/4608

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 8451/368, 5549/4608 i.e 1/105984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8451/368, 5549/4608.

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 8451/368,5549/4608?

Given fractions are 8451/368,5549/4608

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 8451/368,5549/4608, numerators are 8451,5549

Denominators are 368,4608

The GCF of 8451,5549 is 1 .

LCM of 368,4608 is 105984.

The greatest common factor of 8451/368,5549/4608 = [GCF of 8451,5549]/[LCM of 368,4608]= 1/105984

Therefore, the GCF of 8451/368,5549/4608 is 1/105984.

Greatest Common Factor of 8451,5549

To find the highest common factor of 8451,5549, we have to find the factors of both numbers and list the highest common factor.

The factors of 8451 are 1, 3, 9, 27, 313, 939, 2817, 8451

The factors of 5549 are 1, 31, 179, 5549

The HCF of 8451,5549 is 1.

Lets's calculate GCF of 8451,5549

Greatest Common Factor (GCF) of 8451,5549 By Common Division

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

Greatest Common Factor of 8451,5549 By Matching Biggest Common Factor Method

Now, list down the factors of 8451

1,3,9,27,313,939,2817,8451

Now, list down the factors of 5549

1,31,179,5549

Greatest Common Factor

We found the factors 8451,5549 . The biggest common factor number is the GCF number.
So the greatest common factor 8451,5549 is 1.

Lets's calculate LCM of 368,4608

Lowest Common Multiple of 368,4608 using Common Division

2	368, 4608
2	184, 2304
2	92, 1152
2	46, 576
	23, 288

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 23 x 288 = 105984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105984

Therefore, the GCF of Fractions 8451/368,5549/4608 is 1/105984

Least Common Multiple of 368,4608 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 368,4608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,4608) = 16

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

GCF(368,4608) x common factors =16 x 1 = 16

LCM(368,4608) = ( 368 × 4608 ) / 16

LCM(368,4608) = 1695744 / 16

LCM(368,4608) = 105984

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8451/368, 5549/4608

1. What is the HCF of 8451,5549?

The HCF of 8451,5549 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 8451/368, 5549/4608?

Answer: GCF of Numerators as per given numbers 8451/368, 5549/4608 is

GCF of Numerators i.e. for 8451,5549 is 1

LCM of denominators i.e. for 368,4608 is 105984.

Thus, GCF of Fractions is 1/105984.Finally, GCF of Fractions for 8451/368, 5549/4608 is 1/105984.