Greatest Common Factor of 3765/46, 6737/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3765/46, 6737/160

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 3765/46,6737/160

Given fractions are 3765/46,6737/160

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 3765,6737

Greatest Common Factor of Numerators i.e. GCF of 3765,6737 is 1 .

LCM of Denominators means LCM of 46,160 as per the given fractions.

LCM of 46,160 is 3680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3765,6737

GCF of Fractions 3765/46,6737/160 is 1/3680

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

Greatest Common Factor of 3765,6737 By Matching Biggest Common Factor Method

Greatest Common Factor of 3765,6737 By Matching Biggest Common Factor Method

Factors of 3765

List of positive integer factors of 3765 that divides 3765 without a remainder.

1,3,5,15,251,753,1255,3765

Factors of 6737

List of positive integer factors of 6737 that divides 6737 without a remainder.

1,6737

Greatest Common Factor

We found the factors 3765,6737 . The biggest common factor number is the GCF number.
So the greatest common factor 3765,6737 is 1.

Lets's calculate LCM of 46,160

2 46, 160
23, 80

∴ So the LCM of the given numbers is 2 x 23 x 80 = 3680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3680

Therefore, the GCF of Fractions 3765/46,6737/160 is 1/3680

Least Common Multiple of 46,160 with GCF Formula

Least Common Multiple of 46,160 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 46,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,160) = 2

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

GCF(46,160) x common factors =2 x 1 = 2

LCM(46,160) = ( 46 × 160 ) / 2

LCM(46,160) = 7360 / 2

LCM(46,160) = 3680


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 3765/46, 6737/160

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 3765/46, 6737/160?

Answer: GCF of Numerators as per given numbers 3765/46, 6737/160 is

GCF of Numerators i.e. for 3765,6737 is 1

LCM of denominators i.e. for 46,160 is 3680.

Thus, GCF of Fractions is 1/3680.Finally, GCF of Fractions for 3765/46, 6737/160 is 1/3680.