Greatest Common Factor of 405/314, 366/847, 889/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 405/314, 366/847, 889/343

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 405/314,366/847,889/343

Given fractions are 405/314,366/847,889/343

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 405,366,889

Greatest Common Factor of Numerators i.e. GCF of 405,366,889 is 1 .

LCM of Denominators means LCM of 314,847,343 as per the given fractions.

LCM of 314,847,343 is 13031942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 405,366,889

GCF of Fractions 405/314,366/847,889/343 is 1/13031942

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

Greatest Common Factor of 405,366,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,366,889 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 405,366,889 . The biggest common factor number is the GCF number.
So the greatest common factor 405,366,889 is 1.

Lets's calculate LCM of 314,847,343

7 314, 847, 343
314, 121, 49

∴ So the LCM of the given numbers is 7 x 314 x 121 x 49 = 13031942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13031942

Therefore, the GCF of Fractions 405/314,366/847,889/343 is 1/13031942

Least Common Multiple of 314,847,343 with GCF Formula

Least Common Multiple of 314,847,343 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 314,847,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,847,343) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(314,847,343) x common factors =1 x 7 = 7

LCM(314,847,343) = ( 314 × 847 × 343 ) / 7

LCM(314,847,343) = 91223594 / 7

LCM(314,847,343) = 13031942


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 405/314, 366/847, 889/343

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 405/314, 366/847, 889/343?

Answer: GCF of Numerators as per given numbers 405/314, 366/847, 889/343 is

GCF of Numerators i.e. for 405,366,889 is 1

LCM of denominators i.e. for 314,847,343 is 13031942.

Thus, GCF of Fractions is 1/13031942.Finally, GCF of Fractions for 405/314, 366/847, 889/343 is 1/13031942.