How to Find GCF of 2173/824, 3853/6428?

GCF of 2173/824, 3853/6428

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 2173/824, 3853/6428 i.e 1/1324168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2173/824, 3853/6428.

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 2173/824,3853/6428?

Given fractions are 2173/824,3853/6428

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 2173/824,3853/6428, numerators are 2173,3853

Denominators are 824,6428

The GCF of 2173,3853 is 1 .

LCM of 824,6428 is 1324168.

The greatest common factor of 2173/824,3853/6428 = [GCF of 2173,3853]/[LCM of 824,6428]= 1/1324168

Therefore, the GCF of 2173/824,3853/6428 is 1/1324168.

Greatest Common Factor of 2173,3853

To find the highest common factor of 2173,3853, we have to find the factors of both numbers and list the highest common factor.

The factors of 2173 are 1, 41, 53, 2173

The factors of 3853 are 1, 3853

The HCF of 2173,3853 is 1.

Lets's calculate GCF of 2173,3853

Greatest Common Factor (GCF) of 2173,3853 By Common Division

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

Greatest Common Factor of 2173,3853 By Matching Biggest Common Factor Method

Now, list down the factors of 2173

1,41,53,2173

Now, list down the factors of 3853

1,3853

Greatest Common Factor

We found the factors 2173,3853 . The biggest common factor number is the GCF number.
So the greatest common factor 2173,3853 is 1.

Lets's calculate LCM of 824,6428

Lowest Common Multiple of 824,6428 using Common Division

2	824, 6428
2	412, 3214
	206, 1607

∴ So the LCM of the given numbers is 2 x 2 x 206 x 1607 = 1324168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1324168

Therefore, the GCF of Fractions 2173/824,3853/6428 is 1/1324168

Least Common Multiple of 824,6428 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 824,6428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,6428) = 4

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

GCF(824,6428) x common factors =4 x 1 = 4

LCM(824,6428) = ( 824 × 6428 ) / 4

LCM(824,6428) = 5296672 / 4

LCM(824,6428) = 1324168

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2173/824, 3853/6428

1. What is the HCF of 2173,3853?

The HCF of 2173,3853 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 2173/824, 3853/6428?

Answer: GCF of Numerators as per given numbers 2173/824, 3853/6428 is

GCF of Numerators i.e. for 2173,3853 is 1

LCM of denominators i.e. for 824,6428 is 1324168.

Thus, GCF of Fractions is 1/1324168.Finally, GCF of Fractions for 2173/824, 3853/6428 is 1/1324168.