Greatest Common Factor of 624/46, 449/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 624/46, 449/667

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 624/46,449/667

Given fractions are 624/46,449/667

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 624,449

Greatest Common Factor of Numerators i.e. GCF of 624,449 is 1 .

LCM of Denominators means LCM of 46,667 as per the given fractions.

LCM of 46,667 is 1334 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 624,449

GCF of Fractions 624/46,449/667 is 1/1334

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

Greatest Common Factor of 624,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,449 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 624,449 . The biggest common factor number is the GCF number.
So the greatest common factor 624,449 is 1.

Lets's calculate LCM of 46,667

23 46, 667
2, 29

∴ So the LCM of the given numbers is 23 x 2 x 29 = 1334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1334

Therefore, the GCF of Fractions 624/46,449/667 is 1/1334

Least Common Multiple of 46,667 with GCF Formula

Least Common Multiple of 46,667 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 46,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,667) = 23

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

GCF(46,667) x common factors =23 x 1 = 23

LCM(46,667) = ( 46 × 667 ) / 23

LCM(46,667) = 30682 / 23

LCM(46,667) = 1334


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 624/46, 449/667

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 624/46, 449/667?

Answer: GCF of Numerators as per given numbers 624/46, 449/667 is

GCF of Numerators i.e. for 624,449 is 1

LCM of denominators i.e. for 46,667 is 1334.

Thus, GCF of Fractions is 1/1334.Finally, GCF of Fractions for 624/46, 449/667 is 1/1334.