LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 500/450, 338/290

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 500/450, 338/290 i.e 2/13050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 500/450, 338/290.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 500/450,338/290?

Given fractions are 500/450,338/290

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 500/450,338/290, numerators are 500,338

Denominators are 450,290

The GCF of 500,338 is 2 .

LCM of 450,290 is 13050.

The greatest common factor of 500/450,338/290 = [GCF of 500,338]/[LCM of 450,290]= 2/13050

Therefore, the GCF of 500/450,338/290 is 2/13050.

Greatest Common Factor of 500,338

To find the highest common factor of 500,338, we have to find the factors of both numbers and list the highest common factor.

The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

The factors of 338 are 1, 2, 13, 26, 169, 338

The HCF of 500,338 is 2.

Lets's calculate GCF of 500,338

Greatest Common Factor (GCF) of 500,338 By Common Division

2 500, 338
250, 169

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 500,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,338 By Matching Biggest Common Factor Method

Now, list down the factors of 500

:

1,2,4,5,10,20,25,50,100,125,250,500

Now, list down the factors of 338

:

1,2,13,26,169,338

Greatest Common Factor

We found the factors 500,338 . The biggest common factor number is the GCF number.
So the greatest common factor 500,338 is 2.

Lets's calculate LCM of 450,290

Lowest Common Multiple of 450,290 using Common Division

2 450, 290
5 225, 145
45, 29

∴ So the LCM of the given numbers is 2 x 5 x 45 x 29 = 13050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13050

Therefore, the GCF of Fractions 500/450,338/290 is 2/13050

Least Common Multiple of 450,290 with GCF Formula

Least Common Multiple of 450,290 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 450,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,290) = 10

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

GCF(450,290) x common factors =10 x 1 = 10

LCM(450,290) = ( 450 × 290 ) / 10

LCM(450,290) = 130500 / 10

LCM(450,290) = 13050


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 500/450, 338/290

1. What is the HCF of 500,338?

The HCF of 500,338 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 500/450, 338/290?

Answer: GCF of Numerators as per given numbers 500/450, 338/290 is

GCF of Numerators i.e. for 500,338 is 2

LCM of denominators i.e. for 450,290 is 13050.

Thus, GCF of Fractions is 2/13050.Finally, GCF of Fractions for 500/450, 338/290 is 2/13050.