How to Find GCF of 2003/799, 5404/934?

GCF of 2003/799, 5404/934

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 2003/799, 5404/934 i.e 1/746266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2003/799, 5404/934.

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 2003/799,5404/934?

Given fractions are 2003/799,5404/934

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 2003/799,5404/934, numerators are 2003,5404

Denominators are 799,934

The GCF of 2003,5404 is 1 .

LCM of 799,934 is 746266.

The greatest common factor of 2003/799,5404/934 = [GCF of 2003,5404]/[LCM of 799,934]= 1/746266

Therefore, the GCF of 2003/799,5404/934 is 1/746266.

Greatest Common Factor of 2003,5404

To find the highest common factor of 2003,5404, we have to find the factors of both numbers and list the highest common factor.

The factors of 2003 are 1, 2003

The factors of 5404 are 1, 2, 4, 7, 14, 28, 193, 386, 772, 1351, 2702, 5404

The HCF of 2003,5404 is 1.

Lets's calculate GCF of 2003,5404

Greatest Common Factor (GCF) of 2003,5404 By Common Division

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

Greatest Common Factor of 2003,5404 By Matching Biggest Common Factor Method

Now, list down the factors of 2003

1,2003

Now, list down the factors of 5404

1,2,4,7,14,28,193,386,772,1351,2702,5404

Greatest Common Factor

We found the factors 2003,5404 . The biggest common factor number is the GCF number.
So the greatest common factor 2003,5404 is 1.

Lets's calculate LCM of 799,934

Lowest Common Multiple of 799,934 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 746266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/746266

Therefore, the GCF of Fractions 2003/799,5404/934 is 1/746266

Least Common Multiple of 799,934 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 799,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(799,934) = 1

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

GCF(799,934) x common factors =1 x 1 = 1

LCM(799,934) = ( 799 × 934 ) / 1

LCM(799,934) = 746266 / 1

LCM(799,934) = 746266

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FAQs on GCF of Fractions of 2003/799, 5404/934

1. What is the HCF of 2003,5404?

The HCF of 2003,5404 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 2003/799, 5404/934?

Answer: GCF of Numerators as per given numbers 2003/799, 5404/934 is

GCF of Numerators i.e. for 2003,5404 is 1

LCM of denominators i.e. for 799,934 is 746266.

Thus, GCF of Fractions is 1/746266.Finally, GCF of Fractions for 2003/799, 5404/934 is 1/746266.