How to Find GCF of 396/768, 3823/802?

GCF of 396/768, 3823/802

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 396/768, 3823/802 i.e 1/307968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 396/768, 3823/802.

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 396/768,3823/802?

Given fractions are 396/768,3823/802

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 396/768,3823/802, numerators are 396,3823

Denominators are 768,802

The GCF of 396,3823 is 1 .

LCM of 768,802 is 307968.

The greatest common factor of 396/768,3823/802 = [GCF of 396,3823]/[LCM of 768,802]= 1/307968

Therefore, the GCF of 396/768,3823/802 is 1/307968.

Greatest Common Factor of 396,3823

To find the highest common factor of 396,3823, we have to find the factors of both numbers and list the highest common factor.

The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

The factors of 3823 are 1, 3823

The HCF of 396,3823 is 1.

Lets's calculate GCF of 396,3823

Greatest Common Factor (GCF) of 396,3823 By Common Division

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

Greatest Common Factor of 396,3823 By Matching Biggest Common Factor Method

Now, list down the factors of 396

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Now, list down the factors of 3823

1,3823

Greatest Common Factor

We found the factors 396,3823 . The biggest common factor number is the GCF number.
So the greatest common factor 396,3823 is 1.

Lets's calculate LCM of 768,802

Lowest Common Multiple of 768,802 using Common Division

2	768, 802
	384, 401

∴ So the LCM of the given numbers is 2 x 384 x 401 = 307968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307968

Therefore, the GCF of Fractions 396/768,3823/802 is 1/307968

Least Common Multiple of 768,802 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 768,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,802) = 2

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

GCF(768,802) x common factors =2 x 1 = 2

LCM(768,802) = ( 768 × 802 ) / 2

LCM(768,802) = 615936 / 2

LCM(768,802) = 307968

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FAQs on GCF of Fractions of 396/768, 3823/802

1. What is the HCF of 396,3823?

The HCF of 396,3823 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 396/768, 3823/802?

Answer: GCF of Numerators as per given numbers 396/768, 3823/802 is

GCF of Numerators i.e. for 396,3823 is 1

LCM of denominators i.e. for 768,802 is 307968.

Thus, GCF of Fractions is 1/307968.Finally, GCF of Fractions for 396/768, 3823/802 is 1/307968.