How to Find GCF of 502/6327, 812/1421?

GCF of 502/6327, 812/1421

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 502/6327, 812/1421 i.e 2/8990667 easily. The following is the detailed procedure to determine the greatest common factor of fractions 502/6327, 812/1421.

Enter two or more fractions separated by "commas"

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

What is the GCF of 502/6327,812/1421?

Given fractions are 502/6327,812/1421

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 502/6327,812/1421, numerators are 502,812

Denominators are 6327,1421

The GCF of 502,812 is 2 .

LCM of 6327,1421 is 8990667.

The greatest common factor of 502/6327,812/1421 = [GCF of 502,812]/[LCM of 6327,1421]= 2/8990667

Therefore, the GCF of 502/6327,812/1421 is 2/8990667.

Greatest Common Factor of 502,812

To find the highest common factor of 502,812, 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 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

The HCF of 502,812 is 2.

Lets's calculate GCF of 502,812

Greatest Common Factor (GCF) of 502,812 By Common Division

2	502, 812
	251, 406

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

Greatest Common Factor of 502,812 By Matching Biggest Common Factor Method

Now, list down the factors of 502

1,2,251,502

Now, list down the factors of 812

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 502,812 . The biggest common factor number is the GCF number.
So the greatest common factor 502,812 is 2.

Lets's calculate LCM of 6327,1421

Lowest Common Multiple of 6327,1421 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8990667

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8990667

Therefore, the GCF of Fractions 502/6327,812/1421 is 2/8990667

Least Common Multiple of 6327,1421 with GCF Formula

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

We need to calculate greatest common factor of 6327,1421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6327,1421) = 1

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

GCF(6327,1421) x common factors =1 x 1 = 1

LCM(6327,1421) = ( 6327 × 1421 ) / 1

LCM(6327,1421) = 8990667 / 1

LCM(6327,1421) = 8990667

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FAQs on GCF of Fractions of 502/6327, 812/1421

1. What is the HCF of 502,812?

The HCF of 502,812 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 502/6327, 812/1421?

Answer: GCF of Numerators as per given numbers 502/6327, 812/1421 is

GCF of Numerators i.e. for 502,812 is 2

LCM of denominators i.e. for 6327,1421 is 8990667.

Thus, GCF of Fractions is 2/8990667.Finally, GCF of Fractions for 502/6327, 812/1421 is 2/8990667.