Greatest Common Factor of 343/47, 484/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 343/47, 484/681

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 343/47,484/681

Given fractions are 343/47,484/681

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 343,484

Greatest Common Factor of Numerators i.e. GCF of 343,484 is 1 .

LCM of Denominators means LCM of 47,681 as per the given fractions.

LCM of 47,681 is 32007 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 343,484

GCF of Fractions 343/47,484/681 is 1/32007

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

Greatest Common Factor of 343,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,484 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 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 343,484 . The biggest common factor number is the GCF number.
So the greatest common factor 343,484 is 1.

Lets's calculate LCM of 47,681

Given numbers has no common factors except 1. So, there LCM is their product i.e 32007

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32007

Therefore, the GCF of Fractions 343/47,484/681 is 1/32007

Least Common Multiple of 47,681 with GCF Formula

Least Common Multiple of 47,681 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 47,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,681) = 1

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

GCF(47,681) x common factors =1 x 1 = 1

LCM(47,681) = ( 47 × 681 ) / 1

LCM(47,681) = 32007 / 1

LCM(47,681) = 32007


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 343/47, 484/681

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 343/47, 484/681?

Answer: GCF of Numerators as per given numbers 343/47, 484/681 is

GCF of Numerators i.e. for 343,484 is 1

LCM of denominators i.e. for 47,681 is 32007.

Thus, GCF of Fractions is 1/32007.Finally, GCF of Fractions for 343/47, 484/681 is 1/32007.