How to Find GCF of 1747/368, 8105/2004?

GCF of 1747/368, 8105/2004

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 1747/368, 8105/2004 i.e 1/184368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1747/368, 8105/2004.

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 1747/368,8105/2004?

Given fractions are 1747/368,8105/2004

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 1747/368,8105/2004, numerators are 1747,8105

Denominators are 368,2004

The GCF of 1747,8105 is 1 .

LCM of 368,2004 is 184368.

The greatest common factor of 1747/368,8105/2004 = [GCF of 1747,8105]/[LCM of 368,2004]= 1/184368

Therefore, the GCF of 1747/368,8105/2004 is 1/184368.

Greatest Common Factor of 1747,8105

To find the highest common factor of 1747,8105, we have to find the factors of both numbers and list the highest common factor.

The factors of 1747 are 1, 1747

The factors of 8105 are 1, 5, 1621, 8105

The HCF of 1747,8105 is 1.

Lets's calculate GCF of 1747,8105

Greatest Common Factor (GCF) of 1747,8105 By Common Division

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

Greatest Common Factor of 1747,8105 By Matching Biggest Common Factor Method

Now, list down the factors of 1747

1,1747

Now, list down the factors of 8105

1,5,1621,8105

Greatest Common Factor

We found the factors 1747,8105 . The biggest common factor number is the GCF number.
So the greatest common factor 1747,8105 is 1.

Lets's calculate LCM of 368,2004

Lowest Common Multiple of 368,2004 using Common Division

2	368, 2004
2	184, 1002
	92, 501

∴ So the LCM of the given numbers is 2 x 2 x 92 x 501 = 184368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184368

Therefore, the GCF of Fractions 1747/368,8105/2004 is 1/184368

Least Common Multiple of 368,2004 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 368,2004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,2004) = 4

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

GCF(368,2004) x common factors =4 x 1 = 4

LCM(368,2004) = ( 368 × 2004 ) / 4

LCM(368,2004) = 737472 / 4

LCM(368,2004) = 184368

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1747/368, 8105/2004

1. What is the HCF of 1747,8105?

The HCF of 1747,8105 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 1747/368, 8105/2004?

Answer: GCF of Numerators as per given numbers 1747/368, 8105/2004 is

GCF of Numerators i.e. for 1747,8105 is 1

LCM of denominators i.e. for 368,2004 is 184368.

Thus, GCF of Fractions is 1/184368.Finally, GCF of Fractions for 1747/368, 8105/2004 is 1/184368.