Greatest Common Factor of 23/69, 86/35, 814/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 23/69, 86/35, 814/438

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 23/69,86/35,814/438

Given fractions are 23/69,86/35,814/438

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 23,86,814

Greatest Common Factor of Numerators i.e. GCF of 23,86,814 is 1 .

LCM of Denominators means LCM of 69,35,438 as per the given fractions.

LCM of 69,35,438 is 352590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 23,86,814

GCF of Fractions 23/69,86/35,814/438 is 1/352590

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

Greatest Common Factor of 23,86,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,86,814 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 23,86,814 . The biggest common factor number is the GCF number.
So the greatest common factor 23,86,814 is 1.

Lets's calculate LCM of 69,35,438

3 69, 35, 438
23, 35, 146

∴ So the LCM of the given numbers is 3 x 23 x 35 x 146 = 352590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/352590

Therefore, the GCF of Fractions 23/69,86/35,814/438 is 1/352590

Least Common Multiple of 69,35,438 with GCF Formula

Least Common Multiple of 69,35,438 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 69,35,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,35,438) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,35,438) x common factors =1 x 3 = 3

LCM(69,35,438) = ( 69 × 35 × 438 ) / 3

LCM(69,35,438) = 1057770 / 3

LCM(69,35,438) = 352590


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 23/69, 86/35, 814/438

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 23/69, 86/35, 814/438?

Answer: GCF of Numerators as per given numbers 23/69, 86/35, 814/438 is

GCF of Numerators i.e. for 23,86,814 is 1

LCM of denominators i.e. for 69,35,438 is 352590.

Thus, GCF of Fractions is 1/352590.Finally, GCF of Fractions for 23/69, 86/35, 814/438 is 1/352590.