Greatest Common Factor of 747/74, 869/24, 423/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 747/74, 869/24, 423/409

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 747/74,869/24,423/409

Given fractions are 747/74,869/24,423/409

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 747,869,423

Greatest Common Factor of Numerators i.e. GCF of 747,869,423 is 1 .

LCM of Denominators means LCM of 74,24,409 as per the given fractions.

LCM of 74,24,409 is 363192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 747,869,423

GCF of Fractions 747/74,869/24,423/409 is 1/363192

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

Greatest Common Factor of 747,869,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,869,423 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 747,869,423 . The biggest common factor number is the GCF number.
So the greatest common factor 747,869,423 is 1.

Lets's calculate LCM of 74,24,409

2 74, 24, 409
37, 12, 409

∴ So the LCM of the given numbers is 2 x 37 x 12 x 409 = 363192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/363192

Therefore, the GCF of Fractions 747/74,869/24,423/409 is 1/363192

Least Common Multiple of 74,24,409 with GCF Formula

Least Common Multiple of 74,24,409 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 74,24,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,24,409) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,24,409) x common factors =1 x 2 = 2

LCM(74,24,409) = ( 74 × 24 × 409 ) / 2

LCM(74,24,409) = 726384 / 2

LCM(74,24,409) = 363192


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 747/74, 869/24, 423/409

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 747/74, 869/24, 423/409?

Answer: GCF of Numerators as per given numbers 747/74, 869/24, 423/409 is

GCF of Numerators i.e. for 747,869,423 is 1

LCM of denominators i.e. for 74,24,409 is 363192.

Thus, GCF of Fractions is 1/363192.Finally, GCF of Fractions for 747/74, 869/24, 423/409 is 1/363192.