How to Find GCF of 449/25, 864/854?

GCF of 449/25, 864/854

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 449/25, 864/854 i.e 1/21350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 449/25, 864/854.

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 449/25,864/854?

Given fractions are 449/25,864/854

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 449/25,864/854, numerators are 449,864

Denominators are 25,854

The GCF of 449,864 is 1 .

LCM of 25,854 is 21350.

The greatest common factor of 449/25,864/854 = [GCF of 449,864]/[LCM of 25,854]= 1/21350

Therefore, the GCF of 449/25,864/854 is 1/21350.

Greatest Common Factor of 449,864

To find the highest common factor of 449,864, 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 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

The HCF of 449,864 is 1.

Lets's calculate GCF of 449,864

Greatest Common Factor (GCF) of 449,864 By Common Division

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

Greatest Common Factor of 449,864 By Matching Biggest Common Factor Method

Now, list down the factors of 449

1,449

Now, list down the factors of 864

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 449,864 . The biggest common factor number is the GCF number.
So the greatest common factor 449,864 is 1.

Lets's calculate LCM of 25,854

Lowest Common Multiple of 25,854 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 21350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21350

Therefore, the GCF of Fractions 449/25,864/854 is 1/21350

Least Common Multiple of 25,854 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 25,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,854) = 1

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

GCF(25,854) x common factors =1 x 1 = 1

LCM(25,854) = ( 25 × 854 ) / 1

LCM(25,854) = 21350 / 1

LCM(25,854) = 21350

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FAQs on GCF of Fractions of 449/25, 864/854

1. What is the HCF of 449,864?

The HCF of 449,864 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 449/25, 864/854?

Answer: GCF of Numerators as per given numbers 449/25, 864/854 is

GCF of Numerators i.e. for 449,864 is 1

LCM of denominators i.e. for 25,854 is 21350.

Thus, GCF of Fractions is 1/21350.Finally, GCF of Fractions for 449/25, 864/854 is 1/21350.