How to Find GCF of 19/304, 21/760, 899/407?

GCF of 19/304, 21/760, 899/407

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 19/304, 21/760, 899/407 i.e 1/618640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 19/304, 21/760, 899/407.

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 19/304,21/760,899/407?

Given fractions are 19/304,21/760,899/407

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 19/304,21/760,899/407, numerators are 19,21,899

Denominators are 304,760,407

The GCF of 19,21,899 is 1 .

LCM of 304,760,407 is 618640.

The greatest common factor of 19/304,21/760,899/407 = [GCF of 19,21,899]/[LCM of 304,760,407]= 1/618640

Therefore, the GCF of 19/304,21/760,899/407 is 1/618640.

Greatest Common Factor of 19,21,899

To find the highest common factor of 19,21,899, we have to find the factors of both numbers and list the highest common factor.

The factors of 19 are 1, 19

The factors of 21 are 1, 3, 7, 21

The factors of 899 are 1, 29, 31, 899

The HCF of 19,21,899 is 1.

Lets's calculate GCF of 19,21,899

Greatest Common Factor (GCF) of 19,21,899 By Common Division

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

Greatest Common Factor of 19,21,899 By Matching Biggest Common Factor Method

Now, list down the factors of 19

1,19

Now, list down the factors of 21

1,3,7,21

Now, list down the factors of 899

1,29,31,899

Greatest Common Factor

We found the factors 19,21,899 . The biggest common factor number is the GCF number.
So the greatest common factor 19,21,899 is 1.

Lets's calculate LCM of 304,760,407

Lowest Common Multiple of 304,760,407 using Common Division

2	304, 760, 407
2	152, 380, 407
2	76, 190, 407
19	38, 95, 407
	2, 5, 407

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 2 x 5 x 407 = 618640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/618640

Therefore, the GCF of Fractions 19/304,21/760,899/407 is 1/618640

Least Common Multiple of 304,760,407 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 304,760,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,760,407) = 1

common factors(in case of two or more numbers have common factors) = 152

GCF(304,760,407) x common factors =1 x 152 = 152

LCM(304,760,407) = ( 304 × 760 × 407 ) / 152

LCM(304,760,407) = 94033280 / 152

LCM(304,760,407) = 618640

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 19/304, 21/760, 899/407

1. What is the HCF of 19,21,899?

The HCF of 19,21,899 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 19/304, 21/760, 899/407?

Answer: GCF of Numerators as per given numbers 19/304, 21/760, 899/407 is

GCF of Numerators i.e. for 19,21,899 is 1

LCM of denominators i.e. for 304,760,407 is 618640.

Thus, GCF of Fractions is 1/618640.Finally, GCF of Fractions for 19/304, 21/760, 899/407 is 1/618640.