Greatest Common Factor of 736/13, 1766/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 736/13, 1766/549

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 736/13,1766/549

Given fractions are 736/13,1766/549

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 736,1766

Greatest Common Factor of Numerators i.e. GCF of 736,1766 is 2 .

LCM of Denominators means LCM of 13,549 as per the given fractions.

LCM of 13,549 is 7137 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 736,1766

GCF of Fractions 736/13,1766/549 is 2/7137

2 736, 1766
368, 883

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 736,1766 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,1766 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 1766

List of positive integer factors of 1766 that divides 1766 without a remainder.

1,2,883,1766

Greatest Common Factor

We found the factors 736,1766 . The biggest common factor number is the GCF number.
So the greatest common factor 736,1766 is 2.

Lets's calculate LCM of 13,549

Given numbers has no common factors except 1. So, there LCM is their product i.e 7137

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7137

Therefore, the GCF of Fractions 736/13,1766/549 is 2/7137

Least Common Multiple of 13,549 with GCF Formula

Least Common Multiple of 13,549 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 13,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,549) = 1

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

GCF(13,549) x common factors =1 x 1 = 1

LCM(13,549) = ( 13 × 549 ) / 1

LCM(13,549) = 7137 / 1

LCM(13,549) = 7137


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 736/13, 1766/549

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 736/13, 1766/549?

Answer: GCF of Numerators as per given numbers 736/13, 1766/549 is

GCF of Numerators i.e. for 736,1766 is 2

LCM of denominators i.e. for 13,549 is 7137.

Thus, GCF of Fractions is 2/7137.Finally, GCF of Fractions for 736/13, 1766/549 is 2/7137.