How to Find GCF of 449/600, 904/789, 822/305?

GCF of 449/600, 904/789, 822/305

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 449/600, 904/789, 822/305 i.e 1/9625800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 449/600, 904/789, 822/305.

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 449/600,904/789,822/305?

Given fractions are 449/600,904/789,822/305

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 449/600,904/789,822/305, numerators are 449,904,822

Denominators are 600,789,305

The GCF of 449,904,822 is 1 .

LCM of 600,789,305 is 9625800.

The greatest common factor of 449/600,904/789,822/305 = [GCF of 449,904,822]/[LCM of 600,789,305]= 1/9625800

Therefore, the GCF of 449/600,904/789,822/305 is 1/9625800.

Greatest Common Factor of 449,904,822

To find the highest common factor of 449,904,822, we have to find the factors of both numbers and list the highest common factor.

The factors of 449 are 1, 449

The factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904

The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822

The HCF of 449,904,822 is 1.

Lets's calculate GCF of 449,904,822

Greatest Common Factor (GCF) of 449,904,822 By Common Division

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

Greatest Common Factor of 449,904,822 By Matching Biggest Common Factor Method

Now, list down the factors of 449

1,449

Now, list down the factors of 904

1,2,4,8,113,226,452,904

Now, list down the factors of 822

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 449,904,822 . The biggest common factor number is the GCF number.
So the greatest common factor 449,904,822 is 1.

Lets's calculate LCM of 600,789,305

Lowest Common Multiple of 600,789,305 using Common Division

3	600, 789, 305
5	200, 263, 305
	40, 263, 61

∴ So the LCM of the given numbers is 3 x 5 x 40 x 263 x 61 = 9625800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9625800

Therefore, the GCF of Fractions 449/600,904/789,822/305 is 1/9625800

Least Common Multiple of 600,789,305 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 600,789,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,789,305) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(600,789,305) x common factors =1 x 15 = 15

LCM(600,789,305) = ( 600 × 789 × 305 ) / 15

LCM(600,789,305) = 144387000 / 15

LCM(600,789,305) = 9625800

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 449/600, 904/789, 822/305

1. What is the HCF of 449,904,822?

The HCF of 449,904,822 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 449/600, 904/789, 822/305?

Answer: GCF of Numerators as per given numbers 449/600, 904/789, 822/305 is

GCF of Numerators i.e. for 449,904,822 is 1

LCM of denominators i.e. for 600,789,305 is 9625800.

Thus, GCF of Fractions is 1/9625800.Finally, GCF of Fractions for 449/600, 904/789, 822/305 is 1/9625800.