Greatest Common Factor of 32/53, 344/43, 164/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/53, 344/43, 164/123

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 32/53,344/43,164/123

Given fractions are 32/53,344/43,164/123

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 32,344,164

Greatest Common Factor of Numerators i.e. GCF of 32,344,164 is 4 .

LCM of Denominators means LCM of 53,43,123 as per the given fractions.

LCM of 53,43,123 is 280317 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,344,164

GCF of Fractions 32/53,344/43,164/123 is 4/280317

2 32, 344, 164
2 16, 172, 82
8, 86, 41

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 32,344,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,344,164 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 32,344,164 . The biggest common factor number is the GCF number.
So the greatest common factor 32,344,164 is 4.

Lets's calculate LCM of 53,43,123

Given numbers has no common factors except 1. So, there LCM is their product i.e 280317

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/280317

Therefore, the GCF of Fractions 32/53,344/43,164/123 is 4/280317

Least Common Multiple of 53,43,123 with GCF Formula

Least Common Multiple of 53,43,123 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 53,43,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,43,123) = 1

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

GCF(53,43,123) x common factors =1 x 1 = 1

LCM(53,43,123) = ( 53 × 43 × 123 ) / 1

LCM(53,43,123) = 280317 / 1

LCM(53,43,123) = 280317


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 32/53, 344/43, 164/123

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 32/53, 344/43, 164/123?

Answer: GCF of Numerators as per given numbers 32/53, 344/43, 164/123 is

GCF of Numerators i.e. for 32,344,164 is 4

LCM of denominators i.e. for 53,43,123 is 280317.

Thus, GCF of Fractions is 4/280317.Finally, GCF of Fractions for 32/53, 344/43, 164/123 is 4/280317.