How to Find GCF of 3726/396, 5959/6424?

GCF of 3726/396, 5959/6424

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 3726/396, 5959/6424 i.e 1/57816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3726/396, 5959/6424.

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 3726/396,5959/6424?

Given fractions are 3726/396,5959/6424

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 3726/396,5959/6424, numerators are 3726,5959

Denominators are 396,6424

The GCF of 3726,5959 is 1 .

LCM of 396,6424 is 57816.

The greatest common factor of 3726/396,5959/6424 = [GCF of 3726,5959]/[LCM of 396,6424]= 1/57816

Therefore, the GCF of 3726/396,5959/6424 is 1/57816.

Greatest Common Factor of 3726,5959

To find the highest common factor of 3726,5959, we have to find the factors of both numbers and list the highest common factor.

The factors of 3726 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726

The factors of 5959 are 1, 59, 101, 5959

The HCF of 3726,5959 is 1.

Lets's calculate GCF of 3726,5959

Greatest Common Factor (GCF) of 3726,5959 By Common Division

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

Greatest Common Factor of 3726,5959 By Matching Biggest Common Factor Method

Now, list down the factors of 3726

1,2,3,6,9,18,23,27,46,54,69,81,138,162,207,414,621,1242,1863,3726

Now, list down the factors of 5959

1,59,101,5959

Greatest Common Factor

We found the factors 3726,5959 . The biggest common factor number is the GCF number.
So the greatest common factor 3726,5959 is 1.

Lets's calculate LCM of 396,6424

Lowest Common Multiple of 396,6424 using Common Division

2	396, 6424
2	198, 3212
11	99, 1606
	9, 146

∴ So the LCM of the given numbers is 2 x 2 x 11 x 9 x 146 = 57816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57816

Therefore, the GCF of Fractions 3726/396,5959/6424 is 1/57816

Least Common Multiple of 396,6424 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 396,6424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,6424) = 44

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

GCF(396,6424) x common factors =44 x 1 = 44

LCM(396,6424) = ( 396 × 6424 ) / 44

LCM(396,6424) = 2543904 / 44

LCM(396,6424) = 57816

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3726/396, 5959/6424

1. What is the HCF of 3726,5959?

The HCF of 3726,5959 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 3726/396, 5959/6424?

Answer: GCF of Numerators as per given numbers 3726/396, 5959/6424 is

GCF of Numerators i.e. for 3726,5959 is 1

LCM of denominators i.e. for 396,6424 is 57816.

Thus, GCF of Fractions is 1/57816.Finally, GCF of Fractions for 3726/396, 5959/6424 is 1/57816.