How to Find GCF of 5583/611, 8812/9287?

GCF of 5583/611, 8812/9287

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 5583/611, 8812/9287 i.e 1/5674357 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5583/611, 8812/9287.

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 5583/611,8812/9287?

Given fractions are 5583/611,8812/9287

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 5583/611,8812/9287, numerators are 5583,8812

Denominators are 611,9287

The GCF of 5583,8812 is 1 .

LCM of 611,9287 is 5674357.

The greatest common factor of 5583/611,8812/9287 = [GCF of 5583,8812]/[LCM of 611,9287]= 1/5674357

Therefore, the GCF of 5583/611,8812/9287 is 1/5674357.

Greatest Common Factor of 5583,8812

To find the highest common factor of 5583,8812, we have to find the factors of both numbers and list the highest common factor.

The factors of 5583 are 1, 3, 1861, 5583

The factors of 8812 are 1, 2, 4, 2203, 4406, 8812

The HCF of 5583,8812 is 1.

Lets's calculate GCF of 5583,8812

Greatest Common Factor (GCF) of 5583,8812 By Common Division

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

Greatest Common Factor of 5583,8812 By Matching Biggest Common Factor Method

Now, list down the factors of 5583

1,3,1861,5583

Now, list down the factors of 8812

1,2,4,2203,4406,8812

Greatest Common Factor

We found the factors 5583,8812 . The biggest common factor number is the GCF number.
So the greatest common factor 5583,8812 is 1.

Lets's calculate LCM of 611,9287

Lowest Common Multiple of 611,9287 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5674357

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5674357

Therefore, the GCF of Fractions 5583/611,8812/9287 is 1/5674357

Least Common Multiple of 611,9287 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 611,9287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,9287) = 1

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

GCF(611,9287) x common factors =1 x 1 = 1

LCM(611,9287) = ( 611 × 9287 ) / 1

LCM(611,9287) = 5674357 / 1

LCM(611,9287) = 5674357

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FAQs on GCF of Fractions of 5583/611, 8812/9287

1. What is the HCF of 5583,8812?

The HCF of 5583,8812 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 5583/611, 8812/9287?

Answer: GCF of Numerators as per given numbers 5583/611, 8812/9287 is

GCF of Numerators i.e. for 5583,8812 is 1

LCM of denominators i.e. for 611,9287 is 5674357.

Thus, GCF of Fractions is 1/5674357.Finally, GCF of Fractions for 5583/611, 8812/9287 is 1/5674357.