How to Find GCF of 6297/487, 5542/6821?

GCF of 6297/487, 5542/6821

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 6297/487, 5542/6821 i.e 1/3321827 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6297/487, 5542/6821.

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 6297/487,5542/6821?

Given fractions are 6297/487,5542/6821

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 6297/487,5542/6821, numerators are 6297,5542

Denominators are 487,6821

The GCF of 6297,5542 is 1 .

LCM of 487,6821 is 3321827.

The greatest common factor of 6297/487,5542/6821 = [GCF of 6297,5542]/[LCM of 487,6821]= 1/3321827

Therefore, the GCF of 6297/487,5542/6821 is 1/3321827.

Greatest Common Factor of 6297,5542

To find the highest common factor of 6297,5542, we have to find the factors of both numbers and list the highest common factor.

The factors of 6297 are 1, 3, 2099, 6297

The factors of 5542 are 1, 2, 17, 34, 163, 326, 2771, 5542

The HCF of 6297,5542 is 1.

Lets's calculate GCF of 6297,5542

Greatest Common Factor (GCF) of 6297,5542 By Common Division

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

Greatest Common Factor of 6297,5542 By Matching Biggest Common Factor Method

Now, list down the factors of 6297

1,3,2099,6297

Now, list down the factors of 5542

1,2,17,34,163,326,2771,5542

Greatest Common Factor

We found the factors 6297,5542 . The biggest common factor number is the GCF number.
So the greatest common factor 6297,5542 is 1.

Lets's calculate LCM of 487,6821

Lowest Common Multiple of 487,6821 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3321827

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3321827

Therefore, the GCF of Fractions 6297/487,5542/6821 is 1/3321827

Least Common Multiple of 487,6821 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 487,6821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,6821) = 1

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

GCF(487,6821) x common factors =1 x 1 = 1

LCM(487,6821) = ( 487 × 6821 ) / 1

LCM(487,6821) = 3321827 / 1

LCM(487,6821) = 3321827

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6297/487, 5542/6821

1. What is the HCF of 6297,5542?

The HCF of 6297,5542 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 6297/487, 5542/6821?

Answer: GCF of Numerators as per given numbers 6297/487, 5542/6821 is

GCF of Numerators i.e. for 6297,5542 is 1

LCM of denominators i.e. for 487,6821 is 3321827.

Thus, GCF of Fractions is 1/3321827.Finally, GCF of Fractions for 6297/487, 5542/6821 is 1/3321827.