How to Find GCF of 4832/463, 3772/568?

GCF of 4832/463, 3772/568

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 4832/463, 3772/568 i.e 4/262984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4832/463, 3772/568.

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 4832/463,3772/568?

Given fractions are 4832/463,3772/568

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 4832/463,3772/568, numerators are 4832,3772

Denominators are 463,568

The GCF of 4832,3772 is 4 .

LCM of 463,568 is 262984.

The greatest common factor of 4832/463,3772/568 = [GCF of 4832,3772]/[LCM of 463,568]= 4/262984

Therefore, the GCF of 4832/463,3772/568 is 4/262984.

Greatest Common Factor of 4832,3772

To find the highest common factor of 4832,3772, we have to find the factors of both numbers and list the highest common factor.

The factors of 4832 are 1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832

The factors of 3772 are 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772

The HCF of 4832,3772 is 4.

Lets's calculate GCF of 4832,3772

Greatest Common Factor (GCF) of 4832,3772 By Common Division

2	4832, 3772
2	2416, 1886
	1208, 943

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4832,3772 By Matching Biggest Common Factor Method

Now, list down the factors of 4832

1,2,4,8,16,32,151,302,604,1208,2416,4832

Now, list down the factors of 3772

1,2,4,23,41,46,82,92,164,943,1886,3772

Greatest Common Factor

We found the factors 4832,3772 . The biggest common factor number is the GCF number.
So the greatest common factor 4832,3772 is 4.

Lets's calculate LCM of 463,568

Lowest Common Multiple of 463,568 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 262984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/262984

Therefore, the GCF of Fractions 4832/463,3772/568 is 4/262984

Least Common Multiple of 463,568 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 463,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,568) = 1

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

GCF(463,568) x common factors =1 x 1 = 1

LCM(463,568) = ( 463 × 568 ) / 1

LCM(463,568) = 262984 / 1

LCM(463,568) = 262984

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4832/463, 3772/568

1. What is the HCF of 4832,3772?

The HCF of 4832,3772 is 4

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 4832/463, 3772/568?

Answer: GCF of Numerators as per given numbers 4832/463, 3772/568 is

GCF of Numerators i.e. for 4832,3772 is 4

LCM of denominators i.e. for 463,568 is 262984.

Thus, GCF of Fractions is 4/262984.Finally, GCF of Fractions for 4832/463, 3772/568 is 4/262984.