Greatest Common Factor of 343/69, 455/1361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 343/69, 455/1361

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 343/69,455/1361

Given fractions are 343/69,455/1361

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 343,455

Greatest Common Factor of Numerators i.e. GCF of 343,455 is 7 .

LCM of Denominators means LCM of 69,1361 as per the given fractions.

LCM of 69,1361 is 93909 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 343,455

GCF of Fractions 343/69,455/1361 is 7/93909

7 343, 455
49, 65

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 343,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,455 By Matching Biggest Common Factor Method

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 343,455 . The biggest common factor number is the GCF number.
So the greatest common factor 343,455 is 7.

Lets's calculate LCM of 69,1361

Given numbers has no common factors except 1. So, there LCM is their product i.e 93909

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/93909

Therefore, the GCF of Fractions 343/69,455/1361 is 7/93909

Least Common Multiple of 69,1361 with GCF Formula

Least Common Multiple of 69,1361 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 69,1361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,1361) = 1

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

GCF(69,1361) x common factors =1 x 1 = 1

LCM(69,1361) = ( 69 × 1361 ) / 1

LCM(69,1361) = 93909 / 1

LCM(69,1361) = 93909


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 343/69, 455/1361

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 343/69, 455/1361?

Answer: GCF of Numerators as per given numbers 343/69, 455/1361 is

GCF of Numerators i.e. for 343,455 is 7

LCM of denominators i.e. for 69,1361 is 93909.

Thus, GCF of Fractions is 7/93909.Finally, GCF of Fractions for 343/69, 455/1361 is 7/93909.