Greatest Common Factor of 178/32, 530/82, 569/86

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 178/32, 530/82, 569/86

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 178/32,530/82,569/86

Given fractions are 178/32,530/82,569/86

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 178,530,569

Greatest Common Factor of Numerators i.e. GCF of 178,530,569 is 1 .

LCM of Denominators means LCM of 32,82,86 as per the given fractions.

LCM of 32,82,86 is 56416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 178,530,569

GCF of Fractions 178/32,530/82,569/86 is 1/56416

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

Greatest Common Factor of 178,530,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,530,569 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 178,530,569 . The biggest common factor number is the GCF number.
So the greatest common factor 178,530,569 is 1.

Lets's calculate LCM of 32,82,86

2 32, 82, 86
16, 41, 43

∴ So the LCM of the given numbers is 2 x 16 x 41 x 43 = 56416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56416

Therefore, the GCF of Fractions 178/32,530/82,569/86 is 1/56416

Least Common Multiple of 32,82,86 with GCF Formula

Least Common Multiple of 32,82,86 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 32,82,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,82,86) = 2

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

GCF(32,82,86) x common factors =2 x 2 = 4

LCM(32,82,86) = ( 32 × 82 × 86 ) / 4

LCM(32,82,86) = 225664 / 4

LCM(32,82,86) = 56416


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 178/32, 530/82, 569/86

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 178/32, 530/82, 569/86?

Answer: GCF of Numerators as per given numbers 178/32, 530/82, 569/86 is

GCF of Numerators i.e. for 178,530,569 is 1

LCM of denominators i.e. for 32,82,86 is 56416.

Thus, GCF of Fractions is 1/56416.Finally, GCF of Fractions for 178/32, 530/82, 569/86 is 1/56416.