How to Find GCF of 6723/472, 3595/6884?

GCF of 6723/472, 3595/6884

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 6723/472, 3595/6884 i.e 1/812312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6723/472, 3595/6884.

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 6723/472,3595/6884?

Given fractions are 6723/472,3595/6884

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 6723/472,3595/6884, numerators are 6723,3595

Denominators are 472,6884

The GCF of 6723,3595 is 1 .

LCM of 472,6884 is 812312.

The greatest common factor of 6723/472,3595/6884 = [GCF of 6723,3595]/[LCM of 472,6884]= 1/812312

Therefore, the GCF of 6723/472,3595/6884 is 1/812312.

Greatest Common Factor of 6723,3595

To find the highest common factor of 6723,3595, we have to find the factors of both numbers and list the highest common factor.

The factors of 6723 are 1, 3, 9, 27, 81, 83, 249, 747, 2241, 6723

The factors of 3595 are 1, 5, 719, 3595

The HCF of 6723,3595 is 1.

Lets's calculate GCF of 6723,3595

Greatest Common Factor (GCF) of 6723,3595 By Common Division

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

Greatest Common Factor of 6723,3595 By Matching Biggest Common Factor Method

Now, list down the factors of 6723

1,3,9,27,81,83,249,747,2241,6723

Now, list down the factors of 3595

1,5,719,3595

Greatest Common Factor

We found the factors 6723,3595 . The biggest common factor number is the GCF number.
So the greatest common factor 6723,3595 is 1.

Lets's calculate LCM of 472,6884

Lowest Common Multiple of 472,6884 using Common Division

2	472, 6884
2	236, 3442
	118, 1721

∴ So the LCM of the given numbers is 2 x 2 x 118 x 1721 = 812312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/812312

Therefore, the GCF of Fractions 6723/472,3595/6884 is 1/812312

Least Common Multiple of 472,6884 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 472,6884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,6884) = 4

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

GCF(472,6884) x common factors =4 x 1 = 4

LCM(472,6884) = ( 472 × 6884 ) / 4

LCM(472,6884) = 3249248 / 4

LCM(472,6884) = 812312

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FAQs on GCF of Fractions of 6723/472, 3595/6884

1. What is the HCF of 6723,3595?

The HCF of 6723,3595 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 6723/472, 3595/6884?

Answer: GCF of Numerators as per given numbers 6723/472, 3595/6884 is

GCF of Numerators i.e. for 6723,3595 is 1

LCM of denominators i.e. for 472,6884 is 812312.

Thus, GCF of Fractions is 1/812312.Finally, GCF of Fractions for 6723/472, 3595/6884 is 1/812312.