How to Find GCF of 4006/978, 1321/3236?

GCF of 4006/978, 1321/3236

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 4006/978, 1321/3236 i.e 1/1582404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4006/978, 1321/3236.

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 4006/978,1321/3236?

Given fractions are 4006/978,1321/3236

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 4006/978,1321/3236, numerators are 4006,1321

Denominators are 978,3236

The GCF of 4006,1321 is 1 .

LCM of 978,3236 is 1582404.

The greatest common factor of 4006/978,1321/3236 = [GCF of 4006,1321]/[LCM of 978,3236]= 1/1582404

Therefore, the GCF of 4006/978,1321/3236 is 1/1582404.

Greatest Common Factor of 4006,1321

To find the highest common factor of 4006,1321, we have to find the factors of both numbers and list the highest common factor.

The factors of 4006 are 1, 2, 2003, 4006

The factors of 1321 are 1, 1321

The HCF of 4006,1321 is 1.

Lets's calculate GCF of 4006,1321

Greatest Common Factor (GCF) of 4006,1321 By Common Division

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

Greatest Common Factor of 4006,1321 By Matching Biggest Common Factor Method

Now, list down the factors of 4006

1,2,2003,4006

Now, list down the factors of 1321

1,1321

Greatest Common Factor

We found the factors 4006,1321 . The biggest common factor number is the GCF number.
So the greatest common factor 4006,1321 is 1.

Lets's calculate LCM of 978,3236

Lowest Common Multiple of 978,3236 using Common Division

2	978, 3236
	489, 1618

∴ So the LCM of the given numbers is 2 x 489 x 1618 = 1582404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1582404

Therefore, the GCF of Fractions 4006/978,1321/3236 is 1/1582404

Least Common Multiple of 978,3236 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 978,3236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,3236) = 2

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

GCF(978,3236) x common factors =2 x 1 = 2

LCM(978,3236) = ( 978 × 3236 ) / 2

LCM(978,3236) = 3164808 / 2

LCM(978,3236) = 1582404

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4006/978, 1321/3236

1. What is the HCF of 4006,1321?

The HCF of 4006,1321 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 4006/978, 1321/3236?

Answer: GCF of Numerators as per given numbers 4006/978, 1321/3236 is

GCF of Numerators i.e. for 4006,1321 is 1

LCM of denominators i.e. for 978,3236 is 1582404.

Thus, GCF of Fractions is 1/1582404.Finally, GCF of Fractions for 4006/978, 1321/3236 is 1/1582404.