Greatest Common Factor of 423/11, 711/73, 465/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 423/11, 711/73, 465/30

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 423/11,711/73,465/30

Given fractions are 423/11,711/73,465/30

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 423,711,465

Greatest Common Factor of Numerators i.e. GCF of 423,711,465 is 3 .

LCM of Denominators means LCM of 11,73,30 as per the given fractions.

LCM of 11,73,30 is 24090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 423,711,465

GCF of Fractions 423/11,711/73,465/30 is 3/24090

3 423, 711, 465
141, 237, 155

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

Greatest Common Factor of 423,711,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,711,465 By Matching Biggest Common Factor Method

Factors of 423

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

1,3,9,47,141,423

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 423,711,465 . The biggest common factor number is the GCF number.
So the greatest common factor 423,711,465 is 3.

Lets's calculate LCM of 11,73,30

Given numbers has no common factors except 1. So, there LCM is their product i.e 24090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24090

Therefore, the GCF of Fractions 423/11,711/73,465/30 is 3/24090

Least Common Multiple of 11,73,30 with GCF Formula

Least Common Multiple of 11,73,30 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 11,73,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,73,30) = 1

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

GCF(11,73,30) x common factors =1 x 1 = 1

LCM(11,73,30) = ( 11 × 73 × 30 ) / 1

LCM(11,73,30) = 24090 / 1

LCM(11,73,30) = 24090


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 423/11, 711/73, 465/30

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 423/11, 711/73, 465/30?

Answer: GCF of Numerators as per given numbers 423/11, 711/73, 465/30 is

GCF of Numerators i.e. for 423,711,465 is 3

LCM of denominators i.e. for 11,73,30 is 24090.

Thus, GCF of Fractions is 3/24090.Finally, GCF of Fractions for 423/11, 711/73, 465/30 is 3/24090.