Greatest Common Factor of 884/23, 680/58, 823/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 884/23, 680/58, 823/173

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 884/23,680/58,823/173

Given fractions are 884/23,680/58,823/173

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 884,680,823

Greatest Common Factor of Numerators i.e. GCF of 884,680,823 is 1 .

LCM of Denominators means LCM of 23,58,173 as per the given fractions.

LCM of 23,58,173 is 230782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 884,680,823

GCF of Fractions 884/23,680/58,823/173 is 1/230782

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

Greatest Common Factor of 884,680,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,680,823 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 884,680,823 . The biggest common factor number is the GCF number.
So the greatest common factor 884,680,823 is 1.


Lets's calculate LCM of 23,58,173

Given numbers has no common factors except 1. So, there LCM is their product i.e 230782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230782

Therefore, the GCF of Fractions 884/23,680/58,823/173 is 1/230782

Least Common Multiple of 23,58,173 with GCF Formula

Least Common Multiple of 23,58,173 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 23,58,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,58,173) = 1

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

GCF(23,58,173) x common factors =1 x 1 = 1

LCM(23,58,173) = ( 23 × 58 × 173 ) / 1

LCM(23,58,173) = 230782 / 1

LCM(23,58,173) = 230782


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 884/23, 680/58, 823/173

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 884/23, 680/58, 823/173?

Answer: GCF of Numerators as per given numbers 884/23, 680/58, 823/173 is

GCF of Numerators i.e. for 884,680,823 is 1

LCM of denominators i.e. for 23,58,173 is 230782.

Thus, GCF of Fractions is 1/230782.Finally, GCF of Fractions for 884/23, 680/58, 823/173 is 1/230782.