How to Find GCF of 4193/320, 6803/3662?

GCF of 4193/320, 6803/3662

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 4193/320, 6803/3662 i.e 1/585920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4193/320, 6803/3662.

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 4193/320,6803/3662?

Given fractions are 4193/320,6803/3662

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 4193/320,6803/3662, numerators are 4193,6803

Denominators are 320,3662

The GCF of 4193,6803 is 1 .

LCM of 320,3662 is 585920.

The greatest common factor of 4193/320,6803/3662 = [GCF of 4193,6803]/[LCM of 320,3662]= 1/585920

Therefore, the GCF of 4193/320,6803/3662 is 1/585920.

Greatest Common Factor of 4193,6803

To find the highest common factor of 4193,6803, we have to find the factors of both numbers and list the highest common factor.

The factors of 4193 are 1, 7, 599, 4193

The factors of 6803 are 1, 6803

The HCF of 4193,6803 is 1.

Lets's calculate GCF of 4193,6803

Greatest Common Factor (GCF) of 4193,6803 By Common Division

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

Greatest Common Factor of 4193,6803 By Matching Biggest Common Factor Method

Now, list down the factors of 4193

1,7,599,4193

Now, list down the factors of 6803

1,6803

Greatest Common Factor

We found the factors 4193,6803 . The biggest common factor number is the GCF number.
So the greatest common factor 4193,6803 is 1.

Lets's calculate LCM of 320,3662

Lowest Common Multiple of 320,3662 using Common Division

2	320, 3662
	160, 1831

∴ So the LCM of the given numbers is 2 x 160 x 1831 = 585920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/585920

Therefore, the GCF of Fractions 4193/320,6803/3662 is 1/585920

Least Common Multiple of 320,3662 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 320,3662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,3662) = 2

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

GCF(320,3662) x common factors =2 x 1 = 2

LCM(320,3662) = ( 320 × 3662 ) / 2

LCM(320,3662) = 1171840 / 2

LCM(320,3662) = 585920

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FAQs on GCF of Fractions of 4193/320, 6803/3662

1. What is the HCF of 4193,6803?

The HCF of 4193,6803 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 4193/320, 6803/3662?

Answer: GCF of Numerators as per given numbers 4193/320, 6803/3662 is

GCF of Numerators i.e. for 4193,6803 is 1

LCM of denominators i.e. for 320,3662 is 585920.

Thus, GCF of Fractions is 1/585920.Finally, GCF of Fractions for 4193/320, 6803/3662 is 1/585920.