Greatest Common Factor of 476/706, 3735/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 476/706, 3735/856

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 476/706,3735/856

Given fractions are 476/706,3735/856

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 476,3735

Greatest Common Factor of Numerators i.e. GCF of 476,3735 is 1 .

LCM of Denominators means LCM of 706,856 as per the given fractions.

LCM of 706,856 is 302168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 476,3735

GCF of Fractions 476/706,3735/856 is 1/302168

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

Greatest Common Factor of 476,3735 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,3735 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 3735

List of positive integer factors of 3735 that divides 3735 without a remainder.

1,3,5,9,15,45,83,249,415,747,1245,3735

Greatest Common Factor

We found the factors 476,3735 . The biggest common factor number is the GCF number.
So the greatest common factor 476,3735 is 1.

Lets's calculate LCM of 706,856

2 706, 856
353, 428

∴ So the LCM of the given numbers is 2 x 353 x 428 = 302168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/302168

Therefore, the GCF of Fractions 476/706,3735/856 is 1/302168

Least Common Multiple of 706,856 with GCF Formula

Least Common Multiple of 706,856 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 706,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,856) = 2

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

GCF(706,856) x common factors =2 x 1 = 2

LCM(706,856) = ( 706 × 856 ) / 2

LCM(706,856) = 604336 / 2

LCM(706,856) = 302168


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 476/706, 3735/856

1. 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.

2. What is the GCF of Fractions for 476/706, 3735/856?

Answer: GCF of Numerators as per given numbers 476/706, 3735/856 is

GCF of Numerators i.e. for 476,3735 is 1

LCM of denominators i.e. for 706,856 is 302168.

Thus, GCF of Fractions is 1/302168.Finally, GCF of Fractions for 476/706, 3735/856 is 1/302168.