How to Find GCF of 4729/156, 3682/8181?

GCF of 4729/156, 3682/8181

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 4729/156, 3682/8181 i.e 1/425412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4729/156, 3682/8181.

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 4729/156,3682/8181?

Given fractions are 4729/156,3682/8181

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 4729/156,3682/8181, numerators are 4729,3682

Denominators are 156,8181

The GCF of 4729,3682 is 1 .

LCM of 156,8181 is 425412.

The greatest common factor of 4729/156,3682/8181 = [GCF of 4729,3682]/[LCM of 156,8181]= 1/425412

Therefore, the GCF of 4729/156,3682/8181 is 1/425412.

Greatest Common Factor of 4729,3682

To find the highest common factor of 4729,3682, we have to find the factors of both numbers and list the highest common factor.

The factors of 4729 are 1, 4729

The factors of 3682 are 1, 2, 7, 14, 263, 526, 1841, 3682

The HCF of 4729,3682 is 1.

Lets's calculate GCF of 4729,3682

Greatest Common Factor (GCF) of 4729,3682 By Common Division

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

Greatest Common Factor of 4729,3682 By Matching Biggest Common Factor Method

Now, list down the factors of 4729

1,4729

Now, list down the factors of 3682

1,2,7,14,263,526,1841,3682

Greatest Common Factor

We found the factors 4729,3682 . The biggest common factor number is the GCF number.
So the greatest common factor 4729,3682 is 1.

Lets's calculate LCM of 156,8181

Lowest Common Multiple of 156,8181 using Common Division

3	156, 8181
	52, 2727

∴ So the LCM of the given numbers is 3 x 52 x 2727 = 425412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/425412

Therefore, the GCF of Fractions 4729/156,3682/8181 is 1/425412

Least Common Multiple of 156,8181 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 156,8181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,8181) = 3

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

GCF(156,8181) x common factors =3 x 1 = 3

LCM(156,8181) = ( 156 × 8181 ) / 3

LCM(156,8181) = 1276236 / 3

LCM(156,8181) = 425412

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FAQs on GCF of Fractions of 4729/156, 3682/8181

1. What is the HCF of 4729,3682?

The HCF of 4729,3682 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 4729/156, 3682/8181?

Answer: GCF of Numerators as per given numbers 4729/156, 3682/8181 is

GCF of Numerators i.e. for 4729,3682 is 1

LCM of denominators i.e. for 156,8181 is 425412.

Thus, GCF of Fractions is 1/425412.Finally, GCF of Fractions for 4729/156, 3682/8181 is 1/425412.