How to Find GCF of 38/604, 19/295, 580/205?

GCF of 38/604, 19/295, 580/205

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 38/604, 19/295, 580/205 i.e 1/7305380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/604, 19/295, 580/205.

Enter two or more fractions separated by "commas"

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

What is the GCF of 38/604,19/295,580/205?

Given fractions are 38/604,19/295,580/205

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 38/604,19/295,580/205, numerators are 38,19,580

Denominators are 604,295,205

The GCF of 38,19,580 is 1 .

LCM of 604,295,205 is 7305380.

The greatest common factor of 38/604,19/295,580/205 = [GCF of 38,19,580]/[LCM of 604,295,205]= 1/7305380

Therefore, the GCF of 38/604,19/295,580/205 is 1/7305380.

Greatest Common Factor of 38,19,580

To find the highest common factor of 38,19,580, we have to find the factors of both numbers and list the highest common factor.

The factors of 38 are 1, 2, 19, 38

The factors of 19 are 1, 19

The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

The HCF of 38,19,580 is 1.

Lets's calculate GCF of 38,19,580

Greatest Common Factor (GCF) of 38,19,580 By Common Division

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

Greatest Common Factor of 38,19,580 By Matching Biggest Common Factor Method

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 19

1,19

Now, list down the factors of 580

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 38,19,580 . The biggest common factor number is the GCF number.
So the greatest common factor 38,19,580 is 1.

Lets's calculate LCM of 604,295,205

Lowest Common Multiple of 604,295,205 using Common Division

5	604, 295, 205
	604, 59, 41

∴ So the LCM of the given numbers is 5 x 604 x 59 x 41 = 7305380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7305380

Therefore, the GCF of Fractions 38/604,19/295,580/205 is 1/7305380

Least Common Multiple of 604,295,205 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 604,295,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,295,205) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(604,295,205) x common factors =1 x 5 = 5

LCM(604,295,205) = ( 604 × 295 × 205 ) / 5

LCM(604,295,205) = 36526900 / 5

LCM(604,295,205) = 7305380

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 38/604, 19/295, 580/205

1. What is the HCF of 38,19,580?

The HCF of 38,19,580 is 1

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 38/604, 19/295, 580/205?

Answer: GCF of Numerators as per given numbers 38/604, 19/295, 580/205 is

GCF of Numerators i.e. for 38,19,580 is 1

LCM of denominators i.e. for 604,295,205 is 7305380.

Thus, GCF of Fractions is 1/7305380.Finally, GCF of Fractions for 38/604, 19/295, 580/205 is 1/7305380.