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 409/88, 463/5822

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 409/88, 463/5822 i.e 1/256168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 409/88, 463/5822.

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 409/88,463/5822?

Given fractions are 409/88,463/5822

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 409/88,463/5822, numerators are 409,463

Denominators are 88,5822

The GCF of 409,463 is 1 .

LCM of 88,5822 is 256168.

The greatest common factor of 409/88,463/5822 = [GCF of 409,463]/[LCM of 88,5822]= 1/256168

Therefore, the GCF of 409/88,463/5822 is 1/256168.

Greatest Common Factor of 409,463

To find the highest common factor of 409,463, we have to find the factors of both numbers and list the highest common factor.

The factors of 409 are 1, 409

The factors of 463 are 1, 463

The HCF of 409,463 is 1.

Lets's calculate GCF of 409,463

Greatest Common Factor (GCF) of 409,463 By Common Division

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

Greatest Common Factor of 409,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,463 By Matching Biggest Common Factor Method

Now, list down the factors of 409

:

1,409

Now, list down the factors of 463

:

1,463

Greatest Common Factor

We found the factors 409,463 . The biggest common factor number is the GCF number.
So the greatest common factor 409,463 is 1.

Lets's calculate LCM of 88,5822

Lowest Common Multiple of 88,5822 using Common Division

2 88, 5822
44, 2911

∴ So the LCM of the given numbers is 2 x 44 x 2911 = 256168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256168

Therefore, the GCF of Fractions 409/88,463/5822 is 1/256168

Least Common Multiple of 88,5822 with GCF Formula

Least Common Multiple of 88,5822 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 88,5822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,5822) = 2

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

GCF(88,5822) x common factors =2 x 1 = 2

LCM(88,5822) = ( 88 × 5822 ) / 2

LCM(88,5822) = 512336 / 2

LCM(88,5822) = 256168


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 409/88, 463/5822

1. What is the HCF of 409,463?

The HCF of 409,463 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 409/88, 463/5822?

Answer: GCF of Numerators as per given numbers 409/88, 463/5822 is

GCF of Numerators i.e. for 409,463 is 1

LCM of denominators i.e. for 88,5822 is 256168.

Thus, GCF of Fractions is 1/256168.Finally, GCF of Fractions for 409/88, 463/5822 is 1/256168.