LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 406/449, 382/464

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 406/449, 382/464 i.e 2/208336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 406/449, 382/464.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 406/449,382/464?

Given fractions are 406/449,382/464

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 406/449,382/464, numerators are 406,382

Denominators are 449,464

The GCF of 406,382 is 2 .

LCM of 449,464 is 208336.

The greatest common factor of 406/449,382/464 = [GCF of 406,382]/[LCM of 449,464]= 2/208336

Therefore, the GCF of 406/449,382/464 is 2/208336.

Greatest Common Factor of 406,382

To find the highest common factor of 406,382, we have to find the factors of both numbers and list the highest common factor.

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The factors of 382 are 1, 2, 191, 382

The HCF of 406,382 is 2.

Lets's calculate GCF of 406,382

Greatest Common Factor (GCF) of 406,382 By Common Division

2 406, 382
203, 191

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

Greatest Common Factor of 406,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,382 By Matching Biggest Common Factor Method

Now, list down the factors of 406

:

1,2,7,14,29,58,203,406

Now, list down the factors of 382

:

1,2,191,382

Greatest Common Factor

We found the factors 406,382 . The biggest common factor number is the GCF number.
So the greatest common factor 406,382 is 2.

Lets's calculate LCM of 449,464

Lowest Common Multiple of 449,464 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 208336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/208336

Therefore, the GCF of Fractions 406/449,382/464 is 2/208336

Least Common Multiple of 449,464 with GCF Formula

Least Common Multiple of 449,464 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 449,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,464) = 1

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

GCF(449,464) x common factors =1 x 1 = 1

LCM(449,464) = ( 449 × 464 ) / 1

LCM(449,464) = 208336 / 1

LCM(449,464) = 208336


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 406/449, 382/464

1. What is the HCF of 406,382?

The HCF of 406,382 is 2

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 406/449, 382/464?

Answer: GCF of Numerators as per given numbers 406/449, 382/464 is

GCF of Numerators i.e. for 406,382 is 2

LCM of denominators i.e. for 449,464 is 208336.

Thus, GCF of Fractions is 2/208336.Finally, GCF of Fractions for 406/449, 382/464 is 2/208336.