Greatest Common Factor of 17/497, 220/670, 309/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/497, 220/670, 309/333

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 17/497,220/670,309/333

Given fractions are 17/497,220/670,309/333

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 17,220,309

Greatest Common Factor of Numerators i.e. GCF of 17,220,309 is 1 .

LCM of Denominators means LCM of 497,670,333 as per the given fractions.

LCM of 497,670,333 is 110885670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,220,309

GCF of Fractions 17/497,220/670,309/333 is 1/110885670

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

Greatest Common Factor of 17,220,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,220,309 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 17,220,309 . The biggest common factor number is the GCF number.
So the greatest common factor 17,220,309 is 1.

Lets's calculate LCM of 497,670,333

Given numbers has no common factors except 1. So, there LCM is their product i.e 110885670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110885670

Therefore, the GCF of Fractions 17/497,220/670,309/333 is 1/110885670

Least Common Multiple of 497,670,333 with GCF Formula

Least Common Multiple of 497,670,333 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 497,670,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,670,333) = 1

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

GCF(497,670,333) x common factors =1 x 1 = 1

LCM(497,670,333) = ( 497 × 670 × 333 ) / 1

LCM(497,670,333) = 110885670 / 1

LCM(497,670,333) = 110885670


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 17/497, 220/670, 309/333

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 17/497, 220/670, 309/333?

Answer: GCF of Numerators as per given numbers 17/497, 220/670, 309/333 is

GCF of Numerators i.e. for 17,220,309 is 1

LCM of denominators i.e. for 497,670,333 is 110885670.

Thus, GCF of Fractions is 1/110885670.Finally, GCF of Fractions for 17/497, 220/670, 309/333 is 1/110885670.