Greatest Common Factor of 343/543, 485/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 343/543, 485/901

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 343/543,485/901

Given fractions are 343/543,485/901

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 343,485

Greatest Common Factor of Numerators i.e. GCF of 343,485 is 1 .

LCM of Denominators means LCM of 543,901 as per the given fractions.

LCM of 543,901 is 489243 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 343,485

GCF of Fractions 343/543,485/901 is 1/489243

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

Greatest Common Factor of 343,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,485 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 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Greatest Common Factor

We found the factors 343,485 . The biggest common factor number is the GCF number.
So the greatest common factor 343,485 is 1.

Lets's calculate LCM of 543,901

Given numbers has no common factors except 1. So, there LCM is their product i.e 489243

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/489243

Therefore, the GCF of Fractions 343/543,485/901 is 1/489243

Least Common Multiple of 543,901 with GCF Formula

Least Common Multiple of 543,901 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 543,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,901) = 1

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

GCF(543,901) x common factors =1 x 1 = 1

LCM(543,901) = ( 543 × 901 ) / 1

LCM(543,901) = 489243 / 1

LCM(543,901) = 489243


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 343/543, 485/901

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 343/543, 485/901?

Answer: GCF of Numerators as per given numbers 343/543, 485/901 is

GCF of Numerators i.e. for 343,485 is 1

LCM of denominators i.e. for 543,901 is 489243.

Thus, GCF of Fractions is 1/489243.Finally, GCF of Fractions for 343/543, 485/901 is 1/489243.