How to Find GCF of 5683/803, 2306/1283?

GCF of 5683/803, 2306/1283

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 5683/803, 2306/1283 i.e 1/1030249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5683/803, 2306/1283.

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 5683/803,2306/1283?

Given fractions are 5683/803,2306/1283

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 5683/803,2306/1283, numerators are 5683,2306

Denominators are 803,1283

The GCF of 5683,2306 is 1 .

LCM of 803,1283 is 1030249.

The greatest common factor of 5683/803,2306/1283 = [GCF of 5683,2306]/[LCM of 803,1283]= 1/1030249

Therefore, the GCF of 5683/803,2306/1283 is 1/1030249.

Greatest Common Factor of 5683,2306

To find the highest common factor of 5683,2306, we have to find the factors of both numbers and list the highest common factor.

The factors of 5683 are 1, 5683

The factors of 2306 are 1, 2, 1153, 2306

The HCF of 5683,2306 is 1.

Lets's calculate GCF of 5683,2306

Greatest Common Factor (GCF) of 5683,2306 By Common Division

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

Greatest Common Factor of 5683,2306 By Matching Biggest Common Factor Method

Now, list down the factors of 5683

1,5683

Now, list down the factors of 2306

1,2,1153,2306

Greatest Common Factor

We found the factors 5683,2306 . The biggest common factor number is the GCF number.
So the greatest common factor 5683,2306 is 1.

Lets's calculate LCM of 803,1283

Lowest Common Multiple of 803,1283 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1030249

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1030249

Therefore, the GCF of Fractions 5683/803,2306/1283 is 1/1030249

Least Common Multiple of 803,1283 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 803,1283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,1283) = 1

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

GCF(803,1283) x common factors =1 x 1 = 1

LCM(803,1283) = ( 803 × 1283 ) / 1

LCM(803,1283) = 1030249 / 1

LCM(803,1283) = 1030249

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FAQs on GCF of Fractions of 5683/803, 2306/1283

1. What is the HCF of 5683,2306?

The HCF of 5683,2306 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 5683/803, 2306/1283?

Answer: GCF of Numerators as per given numbers 5683/803, 2306/1283 is

GCF of Numerators i.e. for 5683,2306 is 1

LCM of denominators i.e. for 803,1283 is 1030249.

Thus, GCF of Fractions is 1/1030249.Finally, GCF of Fractions for 5683/803, 2306/1283 is 1/1030249.