Greatest Common Factor of 565/53, 315/62, 538/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 565/53, 315/62, 538/166

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 565/53,315/62,538/166

Given fractions are 565/53,315/62,538/166

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 565,315,538

Greatest Common Factor of Numerators i.e. GCF of 565,315,538 is 1 .

LCM of Denominators means LCM of 53,62,166 as per the given fractions.

LCM of 53,62,166 is 272738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 565,315,538

GCF of Fractions 565/53,315/62,538/166 is 1/272738

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

Greatest Common Factor of 565,315,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,315,538 By Matching Biggest Common Factor Method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 565,315,538 . The biggest common factor number is the GCF number.
So the greatest common factor 565,315,538 is 1.

Lets's calculate LCM of 53,62,166

2 53, 62, 166
53, 31, 83

∴ So the LCM of the given numbers is 2 x 53 x 31 x 83 = 272738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272738

Therefore, the GCF of Fractions 565/53,315/62,538/166 is 1/272738

Least Common Multiple of 53,62,166 with GCF Formula

Least Common Multiple of 53,62,166 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 53,62,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,62,166) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(53,62,166) x common factors =1 x 2 = 2

LCM(53,62,166) = ( 53 × 62 × 166 ) / 2

LCM(53,62,166) = 545476 / 2

LCM(53,62,166) = 272738


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 565/53, 315/62, 538/166

1. 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.

2. What is the GCF of Fractions for 565/53, 315/62, 538/166?

Answer: GCF of Numerators as per given numbers 565/53, 315/62, 538/166 is

GCF of Numerators i.e. for 565,315,538 is 1

LCM of denominators i.e. for 53,62,166 is 272738.

Thus, GCF of Fractions is 1/272738.Finally, GCF of Fractions for 565/53, 315/62, 538/166 is 1/272738.