How to Find GCF of 182/317, 9087/6286?

GCF of 182/317, 9087/6286

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 182/317, 9087/6286 i.e 13/1992662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 182/317, 9087/6286.

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 182/317,9087/6286?

Given fractions are 182/317,9087/6286

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 182/317,9087/6286, numerators are 182,9087

Denominators are 317,6286

The GCF of 182,9087 is 13 .

LCM of 317,6286 is 1992662.

The greatest common factor of 182/317,9087/6286 = [GCF of 182,9087]/[LCM of 317,6286]= 13/1992662

Therefore, the GCF of 182/317,9087/6286 is 13/1992662.

Greatest Common Factor of 182,9087

To find the highest common factor of 182,9087, we have to find the factors of both numbers and list the highest common factor.

The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182

The factors of 9087 are 1, 3, 13, 39, 233, 699, 3029, 9087

The HCF of 182,9087 is 13.

Lets's calculate GCF of 182,9087

Greatest Common Factor (GCF) of 182,9087 By Common Division

13	182, 9087
	14, 699

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 182,9087 By Matching Biggest Common Factor Method

Now, list down the factors of 182

1,2,7,13,14,26,91,182

Now, list down the factors of 9087

1,3,13,39,233,699,3029,9087

Greatest Common Factor

We found the factors 182,9087 . The biggest common factor number is the GCF number.
So the greatest common factor 182,9087 is 13.

Lets's calculate LCM of 317,6286

Lowest Common Multiple of 317,6286 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1992662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1992662

Therefore, the GCF of Fractions 182/317,9087/6286 is 13/1992662

Least Common Multiple of 317,6286 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 317,6286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,6286) = 1

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

GCF(317,6286) x common factors =1 x 1 = 1

LCM(317,6286) = ( 317 × 6286 ) / 1

LCM(317,6286) = 1992662 / 1

LCM(317,6286) = 1992662

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FAQs on GCF of Fractions of 182/317, 9087/6286

1. What is the HCF of 182,9087?

The HCF of 182,9087 is 13

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 182/317, 9087/6286?

Answer: GCF of Numerators as per given numbers 182/317, 9087/6286 is

GCF of Numerators i.e. for 182,9087 is 13

LCM of denominators i.e. for 317,6286 is 1992662.

Thus, GCF of Fractions is 13/1992662.Finally, GCF of Fractions for 182/317, 9087/6286 is 13/1992662.