Greatest Common Factor of 669/97, 733/27, 289/53

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 669/97, 733/27, 289/53

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 669/97,733/27,289/53

Given fractions are 669/97,733/27,289/53

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 669,733,289

Greatest Common Factor of Numerators i.e. GCF of 669,733,289 is 1 .

LCM of Denominators means LCM of 97,27,53 as per the given fractions.

LCM of 97,27,53 is 138807 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 669,733,289

GCF of Fractions 669/97,733/27,289/53 is 1/138807

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

Greatest Common Factor of 669,733,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,733,289 By Matching Biggest Common Factor Method

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 669,733,289 . The biggest common factor number is the GCF number.
So the greatest common factor 669,733,289 is 1.

Lets's calculate LCM of 97,27,53

Given numbers has no common factors except 1. So, there LCM is their product i.e 138807

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138807

Therefore, the GCF of Fractions 669/97,733/27,289/53 is 1/138807

Least Common Multiple of 97,27,53 with GCF Formula

Least Common Multiple of 97,27,53 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 97,27,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,27,53) = 1

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

GCF(97,27,53) x common factors =1 x 1 = 1

LCM(97,27,53) = ( 97 × 27 × 53 ) / 1

LCM(97,27,53) = 138807 / 1

LCM(97,27,53) = 138807


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 669/97, 733/27, 289/53

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 669/97, 733/27, 289/53?

Answer: GCF of Numerators as per given numbers 669/97, 733/27, 289/53 is

GCF of Numerators i.e. for 669,733,289 is 1

LCM of denominators i.e. for 97,27,53 is 138807.

Thus, GCF of Fractions is 1/138807.Finally, GCF of Fractions for 669/97, 733/27, 289/53 is 1/138807.