How to Find GCF of 2477/666, 8206/4396?

GCF of 2477/666, 8206/4396

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 2477/666, 8206/4396 i.e 1/1463868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2477/666, 8206/4396.

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 2477/666,8206/4396?

Given fractions are 2477/666,8206/4396

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 2477/666,8206/4396, numerators are 2477,8206

Denominators are 666,4396

The GCF of 2477,8206 is 1 .

LCM of 666,4396 is 1463868.

The greatest common factor of 2477/666,8206/4396 = [GCF of 2477,8206]/[LCM of 666,4396]= 1/1463868

Therefore, the GCF of 2477/666,8206/4396 is 1/1463868.

Greatest Common Factor of 2477,8206

To find the highest common factor of 2477,8206, 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 8206 are 1, 2, 11, 22, 373, 746, 4103, 8206

The HCF of 2477,8206 is 1.

Lets's calculate GCF of 2477,8206

Greatest Common Factor (GCF) of 2477,8206 By Common Division

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

Greatest Common Factor of 2477,8206 By Matching Biggest Common Factor Method

Now, list down the factors of 2477

1,2477

Now, list down the factors of 8206

1,2,11,22,373,746,4103,8206

Greatest Common Factor

We found the factors 2477,8206 . The biggest common factor number is the GCF number.
So the greatest common factor 2477,8206 is 1.

Lets's calculate LCM of 666,4396

Lowest Common Multiple of 666,4396 using Common Division

2	666, 4396
	333, 2198

∴ So the LCM of the given numbers is 2 x 333 x 2198 = 1463868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1463868

Therefore, the GCF of Fractions 2477/666,8206/4396 is 1/1463868

Least Common Multiple of 666,4396 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 666,4396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,4396) = 2

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

GCF(666,4396) x common factors =2 x 1 = 2

LCM(666,4396) = ( 666 × 4396 ) / 2

LCM(666,4396) = 2927736 / 2

LCM(666,4396) = 1463868

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FAQs on GCF of Fractions of 2477/666, 8206/4396

1. What is the HCF of 2477,8206?

The HCF of 2477,8206 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 2477/666, 8206/4396?

Answer: GCF of Numerators as per given numbers 2477/666, 8206/4396 is

GCF of Numerators i.e. for 2477,8206 is 1

LCM of denominators i.e. for 666,4396 is 1463868.

Thus, GCF of Fractions is 1/1463868.Finally, GCF of Fractions for 2477/666, 8206/4396 is 1/1463868.