How to Find GCF of 8003/569, 3794/108?

GCF of 8003/569, 3794/108

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 8003/569, 3794/108 i.e 1/61452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8003/569, 3794/108.

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 8003/569,3794/108?

Given fractions are 8003/569,3794/108

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 8003/569,3794/108, numerators are 8003,3794

Denominators are 569,108

The GCF of 8003,3794 is 1 .

LCM of 569,108 is 61452.

The greatest common factor of 8003/569,3794/108 = [GCF of 8003,3794]/[LCM of 569,108]= 1/61452

Therefore, the GCF of 8003/569,3794/108 is 1/61452.

Greatest Common Factor of 8003,3794

To find the highest common factor of 8003,3794, we have to find the factors of both numbers and list the highest common factor.

The factors of 8003 are 1, 53, 151, 8003

The factors of 3794 are 1, 2, 7, 14, 271, 542, 1897, 3794

The HCF of 8003,3794 is 1.

Lets's calculate GCF of 8003,3794

Greatest Common Factor (GCF) of 8003,3794 By Common Division

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

Greatest Common Factor of 8003,3794 By Matching Biggest Common Factor Method

Now, list down the factors of 8003

1,53,151,8003

Now, list down the factors of 3794

1,2,7,14,271,542,1897,3794

Greatest Common Factor

We found the factors 8003,3794 . The biggest common factor number is the GCF number.
So the greatest common factor 8003,3794 is 1.

Lets's calculate LCM of 569,108

Lowest Common Multiple of 569,108 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 61452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61452

Therefore, the GCF of Fractions 8003/569,3794/108 is 1/61452

Least Common Multiple of 569,108 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 569,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,108) = 1

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

GCF(569,108) x common factors =1 x 1 = 1

LCM(569,108) = ( 569 × 108 ) / 1

LCM(569,108) = 61452 / 1

LCM(569,108) = 61452

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FAQs on GCF of Fractions of 8003/569, 3794/108

1. What is the HCF of 8003,3794?

The HCF of 8003,3794 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 8003/569, 3794/108?

Answer: GCF of Numerators as per given numbers 8003/569, 3794/108 is

GCF of Numerators i.e. for 8003,3794 is 1

LCM of denominators i.e. for 569,108 is 61452.

Thus, GCF of Fractions is 1/61452.Finally, GCF of Fractions for 8003/569, 3794/108 is 1/61452.