How to Find GCF of 4003/803, 5847/2215?

GCF of 4003/803, 5847/2215

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 4003/803, 5847/2215 i.e 1/1778645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4003/803, 5847/2215.

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 4003/803,5847/2215?

Given fractions are 4003/803,5847/2215

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 4003/803,5847/2215, numerators are 4003,5847

Denominators are 803,2215

The GCF of 4003,5847 is 1 .

LCM of 803,2215 is 1778645.

The greatest common factor of 4003/803,5847/2215 = [GCF of 4003,5847]/[LCM of 803,2215]= 1/1778645

Therefore, the GCF of 4003/803,5847/2215 is 1/1778645.

Greatest Common Factor of 4003,5847

To find the highest common factor of 4003,5847, we have to find the factors of both numbers and list the highest common factor.

The factors of 4003 are 1, 4003

The factors of 5847 are 1, 3, 1949, 5847

The HCF of 4003,5847 is 1.

Lets's calculate GCF of 4003,5847

Greatest Common Factor (GCF) of 4003,5847 By Common Division

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

Greatest Common Factor of 4003,5847 By Matching Biggest Common Factor Method

Now, list down the factors of 4003

1,4003

Now, list down the factors of 5847

1,3,1949,5847

Greatest Common Factor

We found the factors 4003,5847 . The biggest common factor number is the GCF number.
So the greatest common factor 4003,5847 is 1.

Lets's calculate LCM of 803,2215

Lowest Common Multiple of 803,2215 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1778645

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1778645

Therefore, the GCF of Fractions 4003/803,5847/2215 is 1/1778645

Least Common Multiple of 803,2215 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 803,2215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,2215) = 1

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

GCF(803,2215) x common factors =1 x 1 = 1

LCM(803,2215) = ( 803 × 2215 ) / 1

LCM(803,2215) = 1778645 / 1

LCM(803,2215) = 1778645

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FAQs on GCF of Fractions of 4003/803, 5847/2215

1. What is the HCF of 4003,5847?

The HCF of 4003,5847 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 4003/803, 5847/2215?

Answer: GCF of Numerators as per given numbers 4003/803, 5847/2215 is

GCF of Numerators i.e. for 4003,5847 is 1

LCM of denominators i.e. for 803,2215 is 1778645.

Thus, GCF of Fractions is 1/1778645.Finally, GCF of Fractions for 4003/803, 5847/2215 is 1/1778645.