Greatest Common Factor of 1106/693, 4227/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1106/693, 4227/507

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 1106/693,4227/507

Given fractions are 1106/693,4227/507

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 1106,4227

Greatest Common Factor of Numerators i.e. GCF of 1106,4227 is 1 .

LCM of Denominators means LCM of 693,507 as per the given fractions.

LCM of 693,507 is 117117 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1106,4227

GCF of Fractions 1106/693,4227/507 is 1/117117

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

Greatest Common Factor of 1106,4227 By Matching Biggest Common Factor Method

Greatest Common Factor of 1106,4227 By Matching Biggest Common Factor Method

Factors of 1106

List of positive integer factors of 1106 that divides 1106 without a remainder.

1,2,7,14,79,158,553,1106

Factors of 4227

List of positive integer factors of 4227 that divides 4227 without a remainder.

1,3,1409,4227

Greatest Common Factor

We found the factors 1106,4227 . The biggest common factor number is the GCF number.
So the greatest common factor 1106,4227 is 1.

Lets's calculate LCM of 693,507

3 693, 507
231, 169

∴ So the LCM of the given numbers is 3 x 231 x 169 = 117117

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117117

Therefore, the GCF of Fractions 1106/693,4227/507 is 1/117117

Least Common Multiple of 693,507 with GCF Formula

Least Common Multiple of 693,507 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 693,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,507) = 3

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

GCF(693,507) x common factors =3 x 1 = 3

LCM(693,507) = ( 693 × 507 ) / 3

LCM(693,507) = 351351 / 3

LCM(693,507) = 117117


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 1106/693, 4227/507

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 1106/693, 4227/507?

Answer: GCF of Numerators as per given numbers 1106/693, 4227/507 is

GCF of Numerators i.e. for 1106,4227 is 1

LCM of denominators i.e. for 693,507 is 117117.

Thus, GCF of Fractions is 1/117117.Finally, GCF of Fractions for 1106/693, 4227/507 is 1/117117.