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GCF of 502/24, 822/7497

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 502/24, 822/7497 i.e 2/59976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 502/24, 822/7497.

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 502/24,822/7497?

Given fractions are 502/24,822/7497

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 502/24,822/7497, numerators are 502,822

Denominators are 24,7497

The GCF of 502,822 is 2 .

LCM of 24,7497 is 59976.

The greatest common factor of 502/24,822/7497 = [GCF of 502,822]/[LCM of 24,7497]= 2/59976

Therefore, the GCF of 502/24,822/7497 is 2/59976.

Greatest Common Factor of 502,822

To find the highest common factor of 502,822, we have to find the factors of both numbers and list the highest common factor.

The factors of 502 are 1, 2, 251, 502

The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822

The HCF of 502,822 is 2.

Lets's calculate GCF of 502,822

Greatest Common Factor (GCF) of 502,822 By Common Division

2 502, 822
251, 411

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

Greatest Common Factor of 502,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,822 By Matching Biggest Common Factor Method

Now, list down the factors of 502

:

1,2,251,502

Now, list down the factors of 822

:

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 502,822 . The biggest common factor number is the GCF number.
So the greatest common factor 502,822 is 2.


Lets's calculate LCM of 24,7497

Lowest Common Multiple of 24,7497 using Common Division

3 24, 7497
8, 2499

∴ So the LCM of the given numbers is 3 x 8 x 2499 = 59976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59976

Therefore, the GCF of Fractions 502/24,822/7497 is 2/59976

Least Common Multiple of 24,7497 with GCF Formula

Least Common Multiple of 24,7497 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 24,7497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,7497) = 3

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

GCF(24,7497) x common factors =3 x 1 = 3

LCM(24,7497) = ( 24 × 7497 ) / 3

LCM(24,7497) = 179928 / 3

LCM(24,7497) = 59976


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 502/24, 822/7497

1. What is the HCF of 502,822?

The HCF of 502,822 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 502/24, 822/7497?

Answer: GCF of Numerators as per given numbers 502/24, 822/7497 is

GCF of Numerators i.e. for 502,822 is 2

LCM of denominators i.e. for 24,7497 is 59976.

Thus, GCF of Fractions is 2/59976.Finally, GCF of Fractions for 502/24, 822/7497 is 2/59976.