How to Find GCF of 5783/166, 9606/4926?

GCF of 5783/166, 9606/4926

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 5783/166, 9606/4926 i.e 1/408858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5783/166, 9606/4926.

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 5783/166,9606/4926?

Given fractions are 5783/166,9606/4926

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 5783/166,9606/4926, numerators are 5783,9606

Denominators are 166,4926

The GCF of 5783,9606 is 1 .

LCM of 166,4926 is 408858.

The greatest common factor of 5783/166,9606/4926 = [GCF of 5783,9606]/[LCM of 166,4926]= 1/408858

Therefore, the GCF of 5783/166,9606/4926 is 1/408858.

Greatest Common Factor of 5783,9606

To find the highest common factor of 5783,9606, we have to find the factors of both numbers and list the highest common factor.

The factors of 5783 are 1, 5783

The factors of 9606 are 1, 2, 3, 6, 1601, 3202, 4803, 9606

The HCF of 5783,9606 is 1.

Lets's calculate GCF of 5783,9606

Greatest Common Factor (GCF) of 5783,9606 By Common Division

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

Greatest Common Factor of 5783,9606 By Matching Biggest Common Factor Method

Now, list down the factors of 5783

1,5783

Now, list down the factors of 9606

1,2,3,6,1601,3202,4803,9606

Greatest Common Factor

We found the factors 5783,9606 . The biggest common factor number is the GCF number.
So the greatest common factor 5783,9606 is 1.

Lets's calculate LCM of 166,4926

Lowest Common Multiple of 166,4926 using Common Division

2	166, 4926
	83, 2463

∴ So the LCM of the given numbers is 2 x 83 x 2463 = 408858

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/408858

Therefore, the GCF of Fractions 5783/166,9606/4926 is 1/408858

Least Common Multiple of 166,4926 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 166,4926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(166,4926) = 2

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

GCF(166,4926) x common factors =2 x 1 = 2

LCM(166,4926) = ( 166 × 4926 ) / 2

LCM(166,4926) = 817716 / 2

LCM(166,4926) = 408858

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FAQs on GCF of Fractions of 5783/166, 9606/4926

1. What is the HCF of 5783,9606?

The HCF of 5783,9606 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 5783/166, 9606/4926?

Answer: GCF of Numerators as per given numbers 5783/166, 9606/4926 is

GCF of Numerators i.e. for 5783,9606 is 1

LCM of denominators i.e. for 166,4926 is 408858.

Thus, GCF of Fractions is 1/408858.Finally, GCF of Fractions for 5783/166, 9606/4926 is 1/408858.