How to Find GCF of 19/596, 4212/3936?

GCF of 19/596, 4212/3936

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 19/596, 4212/3936 i.e 1/586464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 19/596, 4212/3936.

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 19/596,4212/3936?

Given fractions are 19/596,4212/3936

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 19/596,4212/3936, numerators are 19,4212

Denominators are 596,3936

The GCF of 19,4212 is 1 .

LCM of 596,3936 is 586464.

The greatest common factor of 19/596,4212/3936 = [GCF of 19,4212]/[LCM of 596,3936]= 1/586464

Therefore, the GCF of 19/596,4212/3936 is 1/586464.

Greatest Common Factor of 19,4212

To find the highest common factor of 19,4212, 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 4212 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 234, 324, 351, 468, 702, 1053, 1404, 2106, 4212

The HCF of 19,4212 is 1.

Lets's calculate GCF of 19,4212

Greatest Common Factor (GCF) of 19,4212 By Common Division

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

Greatest Common Factor of 19,4212 By Matching Biggest Common Factor Method

Now, list down the factors of 19

1,19

Now, list down the factors of 4212

1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,81,108,117,156,162,234,324,351,468,702,1053,1404,2106,4212

Greatest Common Factor

We found the factors 19,4212 . The biggest common factor number is the GCF number.
So the greatest common factor 19,4212 is 1.

Lets's calculate LCM of 596,3936

Lowest Common Multiple of 596,3936 using Common Division

2	596, 3936
2	298, 1968
	149, 984

∴ So the LCM of the given numbers is 2 x 2 x 149 x 984 = 586464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586464

Therefore, the GCF of Fractions 19/596,4212/3936 is 1/586464

Least Common Multiple of 596,3936 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 596,3936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,3936) = 4

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

GCF(596,3936) x common factors =4 x 1 = 4

LCM(596,3936) = ( 596 × 3936 ) / 4

LCM(596,3936) = 2345856 / 4

LCM(596,3936) = 586464

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 19/596, 4212/3936

1. What is the HCF of 19,4212?

The HCF of 19,4212 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 19/596, 4212/3936?

Answer: GCF of Numerators as per given numbers 19/596, 4212/3936 is

GCF of Numerators i.e. for 19,4212 is 1

LCM of denominators i.e. for 596,3936 is 586464.

Thus, GCF of Fractions is 1/586464.Finally, GCF of Fractions for 19/596, 4212/3936 is 1/586464.