Greatest Common Factor of 556/21, 388/53, 343/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 556/21, 388/53, 343/17

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 556/21,388/53,343/17

Given fractions are 556/21,388/53,343/17

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 556,388,343

Greatest Common Factor of Numerators i.e. GCF of 556,388,343 is 1 .

LCM of Denominators means LCM of 21,53,17 as per the given fractions.

LCM of 21,53,17 is 18921 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 556,388,343

GCF of Fractions 556/21,388/53,343/17 is 1/18921

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

Greatest Common Factor of 556,388,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,388,343 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 343

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

1,7,49,343

Greatest Common Factor

We found the factors 556,388,343 . The biggest common factor number is the GCF number.
So the greatest common factor 556,388,343 is 1.

Lets's calculate LCM of 21,53,17

Given numbers has no common factors except 1. So, there LCM is their product i.e 18921

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18921

Therefore, the GCF of Fractions 556/21,388/53,343/17 is 1/18921

Least Common Multiple of 21,53,17 with GCF Formula

Least Common Multiple of 21,53,17 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 21,53,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,53,17) = 1

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

GCF(21,53,17) x common factors =1 x 1 = 1

LCM(21,53,17) = ( 21 × 53 × 17 ) / 1

LCM(21,53,17) = 18921 / 1

LCM(21,53,17) = 18921


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 556/21, 388/53, 343/17

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 556/21, 388/53, 343/17?

Answer: GCF of Numerators as per given numbers 556/21, 388/53, 343/17 is

GCF of Numerators i.e. for 556,388,343 is 1

LCM of denominators i.e. for 21,53,17 is 18921.

Thus, GCF of Fractions is 1/18921.Finally, GCF of Fractions for 556/21, 388/53, 343/17 is 1/18921.