Greatest Common Factor of 343/777, 4142/2306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 343/777, 4142/2306

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 343/777,4142/2306

Given fractions are 343/777,4142/2306

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 343,4142

Greatest Common Factor of Numerators i.e. GCF of 343,4142 is 1 .

LCM of Denominators means LCM of 777,2306 as per the given fractions.

LCM of 777,2306 is 1791762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 343,4142

GCF of Fractions 343/777,4142/2306 is 1/1791762

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

Greatest Common Factor of 343,4142 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,4142 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 4142

List of positive integer factors of 4142 that divides 4142 without a remainder.

1,2,19,38,109,218,2071,4142

Greatest Common Factor

We found the factors 343,4142 . The biggest common factor number is the GCF number.
So the greatest common factor 343,4142 is 1.

Lets's calculate LCM of 777,2306

Given numbers has no common factors except 1. So, there LCM is their product i.e 1791762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1791762

Therefore, the GCF of Fractions 343/777,4142/2306 is 1/1791762

Least Common Multiple of 777,2306 with GCF Formula

Least Common Multiple of 777,2306 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 777,2306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,2306) = 1

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

GCF(777,2306) x common factors =1 x 1 = 1

LCM(777,2306) = ( 777 × 2306 ) / 1

LCM(777,2306) = 1791762 / 1

LCM(777,2306) = 1791762


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 343/777, 4142/2306

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 343/777, 4142/2306?

Answer: GCF of Numerators as per given numbers 343/777, 4142/2306 is

GCF of Numerators i.e. for 343,4142 is 1

LCM of denominators i.e. for 777,2306 is 1791762.

Thus, GCF of Fractions is 1/1791762.Finally, GCF of Fractions for 343/777, 4142/2306 is 1/1791762.