How to Find GCF of 3686/716, 4739/2744?

GCF of 3686/716, 4739/2744

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 3686/716, 4739/2744 i.e 1/491176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3686/716, 4739/2744.

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 3686/716,4739/2744?

Given fractions are 3686/716,4739/2744

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 3686/716,4739/2744, numerators are 3686,4739

Denominators are 716,2744

The GCF of 3686,4739 is 1 .

LCM of 716,2744 is 491176.

The greatest common factor of 3686/716,4739/2744 = [GCF of 3686,4739]/[LCM of 716,2744]= 1/491176

Therefore, the GCF of 3686/716,4739/2744 is 1/491176.

Greatest Common Factor of 3686,4739

To find the highest common factor of 3686,4739, we have to find the factors of both numbers and list the highest common factor.

The factors of 3686 are 1, 2, 19, 38, 97, 194, 1843, 3686

The factors of 4739 are 1, 7, 677, 4739

The HCF of 3686,4739 is 1.

Lets's calculate GCF of 3686,4739

Greatest Common Factor (GCF) of 3686,4739 By Common Division

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

Greatest Common Factor of 3686,4739 By Matching Biggest Common Factor Method

Now, list down the factors of 3686

1,2,19,38,97,194,1843,3686

Now, list down the factors of 4739

1,7,677,4739

Greatest Common Factor

We found the factors 3686,4739 . The biggest common factor number is the GCF number.
So the greatest common factor 3686,4739 is 1.

Lets's calculate LCM of 716,2744

Lowest Common Multiple of 716,2744 using Common Division

2	716, 2744
2	358, 1372
	179, 686

∴ So the LCM of the given numbers is 2 x 2 x 179 x 686 = 491176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/491176

Therefore, the GCF of Fractions 3686/716,4739/2744 is 1/491176

Least Common Multiple of 716,2744 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 716,2744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,2744) = 4

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

GCF(716,2744) x common factors =4 x 1 = 4

LCM(716,2744) = ( 716 × 2744 ) / 4

LCM(716,2744) = 1964704 / 4

LCM(716,2744) = 491176

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3686/716, 4739/2744

1. What is the HCF of 3686,4739?

The HCF of 3686,4739 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 3686/716, 4739/2744?

Answer: GCF of Numerators as per given numbers 3686/716, 4739/2744 is

GCF of Numerators i.e. for 3686,4739 is 1

LCM of denominators i.e. for 716,2744 is 491176.

Thus, GCF of Fractions is 1/491176.Finally, GCF of Fractions for 3686/716, 4739/2744 is 1/491176.