How to Find GCF of 5816/173, 5006/6805?

GCF of 5816/173, 5006/6805

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 5816/173, 5006/6805 i.e 2/1177265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5816/173, 5006/6805.

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 5816/173,5006/6805?

Given fractions are 5816/173,5006/6805

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 5816/173,5006/6805, numerators are 5816,5006

Denominators are 173,6805

The GCF of 5816,5006 is 2 .

LCM of 173,6805 is 1177265.

The greatest common factor of 5816/173,5006/6805 = [GCF of 5816,5006]/[LCM of 173,6805]= 2/1177265

Therefore, the GCF of 5816/173,5006/6805 is 2/1177265.

Greatest Common Factor of 5816,5006

To find the highest common factor of 5816,5006, we have to find the factors of both numbers and list the highest common factor.

The factors of 5816 are 1, 2, 4, 8, 727, 1454, 2908, 5816

The factors of 5006 are 1, 2, 2503, 5006

The HCF of 5816,5006 is 2.

Lets's calculate GCF of 5816,5006

Greatest Common Factor (GCF) of 5816,5006 By Common Division

2	5816, 5006
	2908, 2503

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5816,5006 By Matching Biggest Common Factor Method

Now, list down the factors of 5816

1,2,4,8,727,1454,2908,5816

Now, list down the factors of 5006

1,2,2503,5006

Greatest Common Factor

We found the factors 5816,5006 . The biggest common factor number is the GCF number.
So the greatest common factor 5816,5006 is 2.

Lets's calculate LCM of 173,6805

Lowest Common Multiple of 173,6805 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1177265

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1177265

Therefore, the GCF of Fractions 5816/173,5006/6805 is 2/1177265

Least Common Multiple of 173,6805 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 173,6805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,6805) = 1

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

GCF(173,6805) x common factors =1 x 1 = 1

LCM(173,6805) = ( 173 × 6805 ) / 1

LCM(173,6805) = 1177265 / 1

LCM(173,6805) = 1177265

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FAQs on GCF of Fractions of 5816/173, 5006/6805

1. What is the HCF of 5816,5006?

The HCF of 5816,5006 is 2

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 5816/173, 5006/6805?

Answer: GCF of Numerators as per given numbers 5816/173, 5006/6805 is

GCF of Numerators i.e. for 5816,5006 is 2

LCM of denominators i.e. for 173,6805 is 1177265.

Thus, GCF of Fractions is 2/1177265.Finally, GCF of Fractions for 5816/173, 5006/6805 is 2/1177265.