Greatest Common Factor of 46/898, 49/405, 423/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/898, 49/405, 423/840

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 46/898,49/405,423/840

Given fractions are 46/898,49/405,423/840

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 46,49,423

Greatest Common Factor of Numerators i.e. GCF of 46,49,423 is 1 .

LCM of Denominators means LCM of 898,405,840 as per the given fractions.

LCM of 898,405,840 is 10183320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,49,423

GCF of Fractions 46/898,49/405,423/840 is 1/10183320

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

Greatest Common Factor of 46,49,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,49,423 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

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 46,49,423 . The biggest common factor number is the GCF number.
So the greatest common factor 46,49,423 is 1.

Lets's calculate LCM of 898,405,840

2 898, 405, 840
3 449, 405, 420
5 449, 135, 140
449, 27, 28

∴ So the LCM of the given numbers is 2 x 3 x 5 x 449 x 27 x 28 = 10183320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10183320

Therefore, the GCF of Fractions 46/898,49/405,423/840 is 1/10183320

Least Common Multiple of 898,405,840 with GCF Formula

Least Common Multiple of 898,405,840 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 898,405,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,405,840) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(898,405,840) x common factors =1 x 30 = 30

LCM(898,405,840) = ( 898 × 405 × 840 ) / 30

LCM(898,405,840) = 305499600 / 30

LCM(898,405,840) = 10183320


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 46/898, 49/405, 423/840

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 46/898, 49/405, 423/840?

Answer: GCF of Numerators as per given numbers 46/898, 49/405, 423/840 is

GCF of Numerators i.e. for 46,49,423 is 1

LCM of denominators i.e. for 898,405,840 is 10183320.

Thus, GCF of Fractions is 1/10183320.Finally, GCF of Fractions for 46/898, 49/405, 423/840 is 1/10183320.