Greatest Common Factor of 69/748, 21/391, 330/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/748, 21/391, 330/419

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 69/748,21/391,330/419

Given fractions are 69/748,21/391,330/419

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 69,21,330

Greatest Common Factor of Numerators i.e. GCF of 69,21,330 is 3 .

LCM of Denominators means LCM of 748,391,419 as per the given fractions.

LCM of 748,391,419 is 7208476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,21,330

GCF of Fractions 69/748,21/391,330/419 is 3/7208476

3 69, 21, 330
23, 7, 110

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 69,21,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,21,330 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 69,21,330 . The biggest common factor number is the GCF number.
So the greatest common factor 69,21,330 is 3.

Lets's calculate LCM of 748,391,419

17 748, 391, 419
44, 23, 419

∴ So the LCM of the given numbers is 17 x 44 x 23 x 419 = 7208476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7208476

Therefore, the GCF of Fractions 69/748,21/391,330/419 is 3/7208476

Least Common Multiple of 748,391,419 with GCF Formula

Least Common Multiple of 748,391,419 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 748,391,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,391,419) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(748,391,419) x common factors =1 x 17 = 17

LCM(748,391,419) = ( 748 × 391 × 419 ) / 17

LCM(748,391,419) = 122544092 / 17

LCM(748,391,419) = 7208476


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 69/748, 21/391, 330/419

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 69/748, 21/391, 330/419?

Answer: GCF of Numerators as per given numbers 69/748, 21/391, 330/419 is

GCF of Numerators i.e. for 69,21,330 is 3

LCM of denominators i.e. for 748,391,419 is 7208476.

Thus, GCF of Fractions is 3/7208476.Finally, GCF of Fractions for 69/748, 21/391, 330/419 is 3/7208476.