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 499/567, 601/406

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 499/567, 601/406 i.e 1/32886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 499/567, 601/406.

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 499/567,601/406?

Given fractions are 499/567,601/406

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 499/567,601/406, numerators are 499,601

Denominators are 567,406

The GCF of 499,601 is 1 .

LCM of 567,406 is 32886.

The greatest common factor of 499/567,601/406 = [GCF of 499,601]/[LCM of 567,406]= 1/32886

Therefore, the GCF of 499/567,601/406 is 1/32886.

Greatest Common Factor of 499,601

To find the highest common factor of 499,601, we have to find the factors of both numbers and list the highest common factor.

The factors of 499 are 1, 499

The factors of 601 are 1, 601

The HCF of 499,601 is 1.

Lets's calculate GCF of 499,601

Greatest Common Factor (GCF) of 499,601 By Common Division

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

Greatest Common Factor of 499,601 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,601 By Matching Biggest Common Factor Method

Now, list down the factors of 499

:

1,499

Now, list down the factors of 601

:

1,601

Greatest Common Factor

We found the factors 499,601 . The biggest common factor number is the GCF number.
So the greatest common factor 499,601 is 1.

Lets's calculate LCM of 567,406

Lowest Common Multiple of 567,406 using Common Division

7 567, 406
81, 58

∴ So the LCM of the given numbers is 7 x 81 x 58 = 32886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32886

Therefore, the GCF of Fractions 499/567,601/406 is 1/32886

Least Common Multiple of 567,406 with GCF Formula

Least Common Multiple of 567,406 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 567,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,406) = 7

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

GCF(567,406) x common factors =7 x 1 = 7

LCM(567,406) = ( 567 × 406 ) / 7

LCM(567,406) = 230202 / 7

LCM(567,406) = 32886


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 499/567, 601/406

1. What is the HCF of 499,601?

The HCF of 499,601 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 499/567, 601/406?

Answer: GCF of Numerators as per given numbers 499/567, 601/406 is

GCF of Numerators i.e. for 499,601 is 1

LCM of denominators i.e. for 567,406 is 32886.

Thus, GCF of Fractions is 1/32886.Finally, GCF of Fractions for 499/567, 601/406 is 1/32886.