How to Find GCF of 5717/386, 8505/3172?

GCF of 5717/386, 8505/3172

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 5717/386, 8505/3172 i.e 1/612196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5717/386, 8505/3172.

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 5717/386,8505/3172?

Given fractions are 5717/386,8505/3172

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 5717/386,8505/3172, numerators are 5717,8505

Denominators are 386,3172

The GCF of 5717,8505 is 1 .

LCM of 386,3172 is 612196.

The greatest common factor of 5717/386,8505/3172 = [GCF of 5717,8505]/[LCM of 386,3172]= 1/612196

Therefore, the GCF of 5717/386,8505/3172 is 1/612196.

Greatest Common Factor of 5717,8505

To find the highest common factor of 5717,8505, we have to find the factors of both numbers and list the highest common factor.

The factors of 5717 are 1, 5717

The factors of 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505

The HCF of 5717,8505 is 1.

Lets's calculate GCF of 5717,8505

Greatest Common Factor (GCF) of 5717,8505 By Common Division

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

Greatest Common Factor of 5717,8505 By Matching Biggest Common Factor Method

Now, list down the factors of 5717

1,5717

Now, list down the factors of 8505

1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,243,315,405,567,945,1215,1701,2835,8505

Greatest Common Factor

We found the factors 5717,8505 . The biggest common factor number is the GCF number.
So the greatest common factor 5717,8505 is 1.

Lets's calculate LCM of 386,3172

Lowest Common Multiple of 386,3172 using Common Division

2	386, 3172
	193, 1586

∴ So the LCM of the given numbers is 2 x 193 x 1586 = 612196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/612196

Therefore, the GCF of Fractions 5717/386,8505/3172 is 1/612196

Least Common Multiple of 386,3172 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 386,3172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,3172) = 2

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

GCF(386,3172) x common factors =2 x 1 = 2

LCM(386,3172) = ( 386 × 3172 ) / 2

LCM(386,3172) = 1224392 / 2

LCM(386,3172) = 612196

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FAQs on GCF of Fractions of 5717/386, 8505/3172

1. What is the HCF of 5717,8505?

The HCF of 5717,8505 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 5717/386, 8505/3172?

Answer: GCF of Numerators as per given numbers 5717/386, 8505/3172 is

GCF of Numerators i.e. for 5717,8505 is 1

LCM of denominators i.e. for 386,3172 is 612196.

Thus, GCF of Fractions is 1/612196.Finally, GCF of Fractions for 5717/386, 8505/3172 is 1/612196.