How to Find GCF of 19/64, 946/36, 304/605?

GCF of 19/64, 946/36, 304/605

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 19/64, 946/36, 304/605 i.e 1/348480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 19/64, 946/36, 304/605.

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 19/64,946/36,304/605?

Given fractions are 19/64,946/36,304/605

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 19/64,946/36,304/605, numerators are 19,946,304

Denominators are 64,36,605

The GCF of 19,946,304 is 1 .

LCM of 64,36,605 is 348480.

The greatest common factor of 19/64,946/36,304/605 = [GCF of 19,946,304]/[LCM of 64,36,605]= 1/348480

Therefore, the GCF of 19/64,946/36,304/605 is 1/348480.

Greatest Common Factor of 19,946,304

To find the highest common factor of 19,946,304, 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 946 are 1, 2, 11, 22, 43, 86, 473, 946

The factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

The HCF of 19,946,304 is 1.

Lets's calculate GCF of 19,946,304

Greatest Common Factor (GCF) of 19,946,304 By Common Division

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

Greatest Common Factor of 19,946,304 By Matching Biggest Common Factor Method

Now, list down the factors of 19

1,19

Now, list down the factors of 946

1,2,11,22,43,86,473,946

Now, list down the factors of 304

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 19,946,304 . The biggest common factor number is the GCF number.
So the greatest common factor 19,946,304 is 1.

Lets's calculate LCM of 64,36,605

Lowest Common Multiple of 64,36,605 using Common Division

2	64, 36, 605
2	32, 18, 605
	16, 9, 605

∴ So the LCM of the given numbers is 2 x 2 x 16 x 9 x 605 = 348480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348480

Therefore, the GCF of Fractions 19/64,946/36,304/605 is 1/348480

Least Common Multiple of 64,36,605 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 64,36,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,36,605) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,36,605) x common factors =1 x 4 = 4

LCM(64,36,605) = ( 64 × 36 × 605 ) / 4

LCM(64,36,605) = 1393920 / 4

LCM(64,36,605) = 348480

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 19/64, 946/36, 304/605

1. What is the HCF of 19,946,304?

The HCF of 19,946,304 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 19/64, 946/36, 304/605?

Answer: GCF of Numerators as per given numbers 19/64, 946/36, 304/605 is

GCF of Numerators i.e. for 19,946,304 is 1

LCM of denominators i.e. for 64,36,605 is 348480.

Thus, GCF of Fractions is 1/348480.Finally, GCF of Fractions for 19/64, 946/36, 304/605 is 1/348480.