Greatest Common Factor of 369/759, 697/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 369/759, 697/900

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 369/759,697/900

Given fractions are 369/759,697/900

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 369,697

Greatest Common Factor of Numerators i.e. GCF of 369,697 is 41 .

LCM of Denominators means LCM of 759,900 as per the given fractions.

LCM of 759,900 is 227700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 369,697

GCF of Fractions 369/759,697/900 is 41/227700

41 369, 697
9, 17

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 369,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,697 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 369,697 . The biggest common factor number is the GCF number.
So the greatest common factor 369,697 is 41.

Lets's calculate LCM of 759,900

3 759, 900
253, 300

∴ So the LCM of the given numbers is 3 x 253 x 300 = 227700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/227700

Therefore, the GCF of Fractions 369/759,697/900 is 41/227700

Least Common Multiple of 759,900 with GCF Formula

Least Common Multiple of 759,900 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 759,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,900) = 3

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

GCF(759,900) x common factors =3 x 1 = 3

LCM(759,900) = ( 759 × 900 ) / 3

LCM(759,900) = 683100 / 3

LCM(759,900) = 227700


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 369/759, 697/900

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 369/759, 697/900?

Answer: GCF of Numerators as per given numbers 369/759, 697/900 is

GCF of Numerators i.e. for 369,697 is 41

LCM of denominators i.e. for 759,900 is 227700.

Thus, GCF of Fractions is 41/227700.Finally, GCF of Fractions for 369/759, 697/900 is 41/227700.