How to Find GCF of 3768/794, 2432/406?

GCF of 3768/794, 2432/406

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 3768/794, 2432/406 i.e 8/161182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3768/794, 2432/406.

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 3768/794,2432/406?

Given fractions are 3768/794,2432/406

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 3768/794,2432/406, numerators are 3768,2432

Denominators are 794,406

The GCF of 3768,2432 is 8 .

LCM of 794,406 is 161182.

The greatest common factor of 3768/794,2432/406 = [GCF of 3768,2432]/[LCM of 794,406]= 8/161182

Therefore, the GCF of 3768/794,2432/406 is 8/161182.

Greatest Common Factor of 3768,2432

To find the highest common factor of 3768,2432, we have to find the factors of both numbers and list the highest common factor.

The factors of 3768 are 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768

The factors of 2432 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432

The HCF of 3768,2432 is 8.

Lets's calculate GCF of 3768,2432

Greatest Common Factor (GCF) of 3768,2432 By Common Division

2	3768, 2432
2	1884, 1216
2	942, 608
	471, 304

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3768,2432 By Matching Biggest Common Factor Method

Now, list down the factors of 3768

1,2,3,4,6,8,12,24,157,314,471,628,942,1256,1884,3768

Now, list down the factors of 2432

1,2,4,8,16,19,32,38,64,76,128,152,304,608,1216,2432

Greatest Common Factor

We found the factors 3768,2432 . The biggest common factor number is the GCF number.
So the greatest common factor 3768,2432 is 8.

Lets's calculate LCM of 794,406

Lowest Common Multiple of 794,406 using Common Division

2	794, 406
	397, 203

∴ So the LCM of the given numbers is 2 x 397 x 203 = 161182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/161182

Therefore, the GCF of Fractions 3768/794,2432/406 is 8/161182

Least Common Multiple of 794,406 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 794,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,406) = 2

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

GCF(794,406) x common factors =2 x 1 = 2

LCM(794,406) = ( 794 × 406 ) / 2

LCM(794,406) = 322364 / 2

LCM(794,406) = 161182

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3768/794, 2432/406

1. What is the HCF of 3768,2432?

The HCF of 3768,2432 is 8

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 3768/794, 2432/406?

Answer: GCF of Numerators as per given numbers 3768/794, 2432/406 is

GCF of Numerators i.e. for 3768,2432 is 8

LCM of denominators i.e. for 794,406 is 161182.

Thus, GCF of Fractions is 8/161182.Finally, GCF of Fractions for 3768/794, 2432/406 is 8/161182.