How to Find GCF of 3656/795, 2006/2471?

GCF of 3656/795, 2006/2471

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 3656/795, 2006/2471 i.e 2/1964445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3656/795, 2006/2471.

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 3656/795,2006/2471?

Given fractions are 3656/795,2006/2471

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 3656/795,2006/2471, numerators are 3656,2006

Denominators are 795,2471

The GCF of 3656,2006 is 2 .

LCM of 795,2471 is 1964445.

The greatest common factor of 3656/795,2006/2471 = [GCF of 3656,2006]/[LCM of 795,2471]= 2/1964445

Therefore, the GCF of 3656/795,2006/2471 is 2/1964445.

Greatest Common Factor of 3656,2006

To find the highest common factor of 3656,2006, we have to find the factors of both numbers and list the highest common factor.

The factors of 3656 are 1, 2, 4, 8, 457, 914, 1828, 3656

The factors of 2006 are 1, 2, 17, 34, 59, 118, 1003, 2006

The HCF of 3656,2006 is 2.

Lets's calculate GCF of 3656,2006

Greatest Common Factor (GCF) of 3656,2006 By Common Division

2	3656, 2006
	1828, 1003

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

Greatest Common Factor of 3656,2006 By Matching Biggest Common Factor Method

Now, list down the factors of 3656

1,2,4,8,457,914,1828,3656

Now, list down the factors of 2006

1,2,17,34,59,118,1003,2006

Greatest Common Factor

We found the factors 3656,2006 . The biggest common factor number is the GCF number.
So the greatest common factor 3656,2006 is 2.

Lets's calculate LCM of 795,2471

Lowest Common Multiple of 795,2471 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1964445

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1964445

Therefore, the GCF of Fractions 3656/795,2006/2471 is 2/1964445

Least Common Multiple of 795,2471 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 795,2471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,2471) = 1

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

GCF(795,2471) x common factors =1 x 1 = 1

LCM(795,2471) = ( 795 × 2471 ) / 1

LCM(795,2471) = 1964445 / 1

LCM(795,2471) = 1964445

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3656/795, 2006/2471

1. What is the HCF of 3656,2006?

The HCF of 3656,2006 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 3656/795, 2006/2471?

Answer: GCF of Numerators as per given numbers 3656/795, 2006/2471 is

GCF of Numerators i.e. for 3656,2006 is 2

LCM of denominators i.e. for 795,2471 is 1964445.

Thus, GCF of Fractions is 2/1964445.Finally, GCF of Fractions for 3656/795, 2006/2471 is 2/1964445.