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GCF of 499/565, 823/369

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 499/565, 823/369 i.e 1/208485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 499/565, 823/369.

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 499/565,823/369?

Given fractions are 499/565,823/369

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 499/565,823/369, numerators are 499,823

Denominators are 565,369

The GCF of 499,823 is 1 .

LCM of 565,369 is 208485.

The greatest common factor of 499/565,823/369 = [GCF of 499,823]/[LCM of 565,369]= 1/208485

Therefore, the GCF of 499/565,823/369 is 1/208485.

Greatest Common Factor of 499,823

To find the highest common factor of 499,823, 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 823 are 1, 823

The HCF of 499,823 is 1.

Lets's calculate GCF of 499,823

Greatest Common Factor (GCF) of 499,823 By Common Division

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

Greatest Common Factor of 499,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,823 By Matching Biggest Common Factor Method

Now, list down the factors of 499

:

1,499

Now, list down the factors of 823

:

1,823

Greatest Common Factor

We found the factors 499,823 . The biggest common factor number is the GCF number.
So the greatest common factor 499,823 is 1.

Lets's calculate LCM of 565,369

Lowest Common Multiple of 565,369 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 208485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208485

Therefore, the GCF of Fractions 499/565,823/369 is 1/208485

Least Common Multiple of 565,369 with GCF Formula

Least Common Multiple of 565,369 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 565,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,369) = 1

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

GCF(565,369) x common factors =1 x 1 = 1

LCM(565,369) = ( 565 × 369 ) / 1

LCM(565,369) = 208485 / 1

LCM(565,369) = 208485


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FAQs on GCF of Fractions of 499/565, 823/369

1. What is the HCF of 499,823?

The HCF of 499,823 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 499/565, 823/369?

Answer: GCF of Numerators as per given numbers 499/565, 823/369 is

GCF of Numerators i.e. for 499,823 is 1

LCM of denominators i.e. for 565,369 is 208485.

Thus, GCF of Fractions is 1/208485.Finally, GCF of Fractions for 499/565, 823/369 is 1/208485.