How to Find GCF of 2477/663, 6682/6969?

GCF of 2477/663, 6682/6969

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 2477/663, 6682/6969 i.e 1/1540149 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2477/663, 6682/6969.

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 2477/663,6682/6969?

Given fractions are 2477/663,6682/6969

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 2477/663,6682/6969, numerators are 2477,6682

Denominators are 663,6969

The GCF of 2477,6682 is 1 .

LCM of 663,6969 is 1540149.

The greatest common factor of 2477/663,6682/6969 = [GCF of 2477,6682]/[LCM of 663,6969]= 1/1540149

Therefore, the GCF of 2477/663,6682/6969 is 1/1540149.

Greatest Common Factor of 2477,6682

To find the highest common factor of 2477,6682, we have to find the factors of both numbers and list the highest common factor.

The factors of 2477 are 1, 2477

The factors of 6682 are 1, 2, 13, 26, 257, 514, 3341, 6682

The HCF of 2477,6682 is 1.

Lets's calculate GCF of 2477,6682

Greatest Common Factor (GCF) of 2477,6682 By Common Division

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

Greatest Common Factor of 2477,6682 By Matching Biggest Common Factor Method

Now, list down the factors of 2477

1,2477

Now, list down the factors of 6682

1,2,13,26,257,514,3341,6682

Greatest Common Factor

We found the factors 2477,6682 . The biggest common factor number is the GCF number.
So the greatest common factor 2477,6682 is 1.

Lets's calculate LCM of 663,6969

Lowest Common Multiple of 663,6969 using Common Division

3	663, 6969
	221, 2323

∴ So the LCM of the given numbers is 3 x 221 x 2323 = 1540149

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1540149

Therefore, the GCF of Fractions 2477/663,6682/6969 is 1/1540149

Least Common Multiple of 663,6969 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 663,6969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,6969) = 3

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

GCF(663,6969) x common factors =3 x 1 = 3

LCM(663,6969) = ( 663 × 6969 ) / 3

LCM(663,6969) = 4620447 / 3

LCM(663,6969) = 1540149

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FAQs on GCF of Fractions of 2477/663, 6682/6969

1. What is the HCF of 2477,6682?

The HCF of 2477,6682 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 2477/663, 6682/6969?

Answer: GCF of Numerators as per given numbers 2477/663, 6682/6969 is

GCF of Numerators i.e. for 2477,6682 is 1

LCM of denominators i.e. for 663,6969 is 1540149.

Thus, GCF of Fractions is 1/1540149.Finally, GCF of Fractions for 2477/663, 6682/6969 is 1/1540149.