How to Find GCF of 329/396, 3618/682?

GCF of 329/396, 3618/682

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 329/396, 3618/682 i.e 1/12276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 329/396, 3618/682.

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 329/396,3618/682?

Given fractions are 329/396,3618/682

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 329/396,3618/682, numerators are 329,3618

Denominators are 396,682

The GCF of 329,3618 is 1 .

LCM of 396,682 is 12276.

The greatest common factor of 329/396,3618/682 = [GCF of 329,3618]/[LCM of 396,682]= 1/12276

Therefore, the GCF of 329/396,3618/682 is 1/12276.

Greatest Common Factor of 329,3618

To find the highest common factor of 329,3618, we have to find the factors of both numbers and list the highest common factor.

The factors of 329 are 1, 7, 47, 329

The factors of 3618 are 1, 2, 3, 6, 9, 18, 27, 54, 67, 134, 201, 402, 603, 1206, 1809, 3618

The HCF of 329,3618 is 1.

Lets's calculate GCF of 329,3618

Greatest Common Factor (GCF) of 329,3618 By Common Division

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

Greatest Common Factor of 329,3618 By Matching Biggest Common Factor Method

Now, list down the factors of 329

1,7,47,329

Now, list down the factors of 3618

1,2,3,6,9,18,27,54,67,134,201,402,603,1206,1809,3618

Greatest Common Factor

We found the factors 329,3618 . The biggest common factor number is the GCF number.
So the greatest common factor 329,3618 is 1.

Lets's calculate LCM of 396,682

Lowest Common Multiple of 396,682 using Common Division

2	396, 682
11	198, 341
	18, 31

∴ So the LCM of the given numbers is 2 x 11 x 18 x 31 = 12276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12276

Therefore, the GCF of Fractions 329/396,3618/682 is 1/12276

Least Common Multiple of 396,682 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 396,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,682) = 22

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

GCF(396,682) x common factors =22 x 1 = 22

LCM(396,682) = ( 396 × 682 ) / 22

LCM(396,682) = 270072 / 22

LCM(396,682) = 12276

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FAQs on GCF of Fractions of 329/396, 3618/682

1. What is the HCF of 329,3618?

The HCF of 329,3618 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 329/396, 3618/682?

Answer: GCF of Numerators as per given numbers 329/396, 3618/682 is

GCF of Numerators i.e. for 329,3618 is 1

LCM of denominators i.e. for 396,682 is 12276.

Thus, GCF of Fractions is 1/12276.Finally, GCF of Fractions for 329/396, 3618/682 is 1/12276.