Greatest Common Factor of 328/61, 310/83, 529/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 328/61, 310/83, 529/166

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 328/61,310/83,529/166

Given fractions are 328/61,310/83,529/166

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 328,310,529

Greatest Common Factor of Numerators i.e. GCF of 328,310,529 is 1 .

LCM of Denominators means LCM of 61,83,166 as per the given fractions.

LCM of 61,83,166 is 10126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 328,310,529

GCF of Fractions 328/61,310/83,529/166 is 1/10126

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

Greatest Common Factor of 328,310,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,310,529 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Greatest Common Factor

We found the factors 328,310,529 . The biggest common factor number is the GCF number.
So the greatest common factor 328,310,529 is 1.

Lets's calculate LCM of 61,83,166

83 61, 83, 166
61, 1, 2

∴ So the LCM of the given numbers is 83 x 61 x 1 x 2 = 10126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10126

Therefore, the GCF of Fractions 328/61,310/83,529/166 is 1/10126

Least Common Multiple of 61,83,166 with GCF Formula

Least Common Multiple of 61,83,166 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 61,83,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,83,166) = 1

common factors(in case of two or more numbers have common factors) = 83

GCF(61,83,166) x common factors =1 x 83 = 83

LCM(61,83,166) = ( 61 × 83 × 166 ) / 83

LCM(61,83,166) = 840458 / 83

LCM(61,83,166) = 10126


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 328/61, 310/83, 529/166

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 328/61, 310/83, 529/166?

Answer: GCF of Numerators as per given numbers 328/61, 310/83, 529/166 is

GCF of Numerators i.e. for 328,310,529 is 1

LCM of denominators i.e. for 61,83,166 is 10126.

Thus, GCF of Fractions is 1/10126.Finally, GCF of Fractions for 328/61, 310/83, 529/166 is 1/10126.