How to Find GCF of 8086/172, 5057/385?

GCF of 8086/172, 5057/385

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 8086/172, 5057/385 i.e 13/66220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8086/172, 5057/385.

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 8086/172,5057/385?

Given fractions are 8086/172,5057/385

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 8086/172,5057/385, numerators are 8086,5057

Denominators are 172,385

The GCF of 8086,5057 is 13 .

LCM of 172,385 is 66220.

The greatest common factor of 8086/172,5057/385 = [GCF of 8086,5057]/[LCM of 172,385]= 13/66220

Therefore, the GCF of 8086/172,5057/385 is 13/66220.

Greatest Common Factor of 8086,5057

To find the highest common factor of 8086,5057, we have to find the factors of both numbers and list the highest common factor.

The factors of 8086 are 1, 2, 13, 26, 311, 622, 4043, 8086

The factors of 5057 are 1, 13, 389, 5057

The HCF of 8086,5057 is 13.

Lets's calculate GCF of 8086,5057

Greatest Common Factor (GCF) of 8086,5057 By Common Division

13	8086, 5057
	622, 389

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

Greatest Common Factor of 8086,5057 By Matching Biggest Common Factor Method

Now, list down the factors of 8086

1,2,13,26,311,622,4043,8086

Now, list down the factors of 5057

1,13,389,5057

Greatest Common Factor

We found the factors 8086,5057 . The biggest common factor number is the GCF number.
So the greatest common factor 8086,5057 is 13.

Lets's calculate LCM of 172,385

Lowest Common Multiple of 172,385 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 66220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/66220

Therefore, the GCF of Fractions 8086/172,5057/385 is 13/66220

Least Common Multiple of 172,385 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 172,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,385) = 1

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

GCF(172,385) x common factors =1 x 1 = 1

LCM(172,385) = ( 172 × 385 ) / 1

LCM(172,385) = 66220 / 1

LCM(172,385) = 66220

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FAQs on GCF of Fractions of 8086/172, 5057/385

1. What is the HCF of 8086,5057?

The HCF of 8086,5057 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 8086/172, 5057/385?

Answer: GCF of Numerators as per given numbers 8086/172, 5057/385 is

GCF of Numerators i.e. for 8086,5057 is 13

LCM of denominators i.e. for 172,385 is 66220.

Thus, GCF of Fractions is 13/66220.Finally, GCF of Fractions for 8086/172, 5057/385 is 13/66220.