How to Find GCF of 5449/392, 8267/2854?

GCF of 5449/392, 8267/2854

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 5449/392, 8267/2854 i.e 1/559384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5449/392, 8267/2854.

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 5449/392,8267/2854?

Given fractions are 5449/392,8267/2854

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 5449/392,8267/2854, numerators are 5449,8267

Denominators are 392,2854

The GCF of 5449,8267 is 1 .

LCM of 392,2854 is 559384.

The greatest common factor of 5449/392,8267/2854 = [GCF of 5449,8267]/[LCM of 392,2854]= 1/559384

Therefore, the GCF of 5449/392,8267/2854 is 1/559384.

Greatest Common Factor of 5449,8267

To find the highest common factor of 5449,8267, we have to find the factors of both numbers and list the highest common factor.

The factors of 5449 are 1, 5449

The factors of 8267 are 1, 7, 1181, 8267

The HCF of 5449,8267 is 1.

Lets's calculate GCF of 5449,8267

Greatest Common Factor (GCF) of 5449,8267 By Common Division

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

Greatest Common Factor of 5449,8267 By Matching Biggest Common Factor Method

Now, list down the factors of 5449

1,5449

Now, list down the factors of 8267

1,7,1181,8267

Greatest Common Factor

We found the factors 5449,8267 . The biggest common factor number is the GCF number.
So the greatest common factor 5449,8267 is 1.

Lets's calculate LCM of 392,2854

Lowest Common Multiple of 392,2854 using Common Division

2	392, 2854
	196, 1427

∴ So the LCM of the given numbers is 2 x 196 x 1427 = 559384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/559384

Therefore, the GCF of Fractions 5449/392,8267/2854 is 1/559384

Least Common Multiple of 392,2854 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 392,2854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,2854) = 2

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

GCF(392,2854) x common factors =2 x 1 = 2

LCM(392,2854) = ( 392 × 2854 ) / 2

LCM(392,2854) = 1118768 / 2

LCM(392,2854) = 559384

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FAQs on GCF of Fractions of 5449/392, 8267/2854

1. What is the HCF of 5449,8267?

The HCF of 5449,8267 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 5449/392, 8267/2854?

Answer: GCF of Numerators as per given numbers 5449/392, 8267/2854 is

GCF of Numerators i.e. for 5449,8267 is 1

LCM of denominators i.e. for 392,2854 is 559384.

Thus, GCF of Fractions is 1/559384.Finally, GCF of Fractions for 5449/392, 8267/2854 is 1/559384.