Greatest Common Factor of 358/93, 368/29, 418/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 358/93, 368/29, 418/145

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 358/93,368/29,418/145

Given fractions are 358/93,368/29,418/145

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 358,368,418

Greatest Common Factor of Numerators i.e. GCF of 358,368,418 is 2 .

LCM of Denominators means LCM of 93,29,145 as per the given fractions.

LCM of 93,29,145 is 13485 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 358,368,418

GCF of Fractions 358/93,368/29,418/145 is 2/13485

2 358, 368, 418
179, 184, 209

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

Greatest Common Factor of 358,368,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 358,368,418 By Matching Biggest Common Factor Method

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 358,368,418 . The biggest common factor number is the GCF number.
So the greatest common factor 358,368,418 is 2.

Lets's calculate LCM of 93,29,145

29 93, 29, 145
93, 1, 5

∴ So the LCM of the given numbers is 29 x 93 x 1 x 5 = 13485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13485

Therefore, the GCF of Fractions 358/93,368/29,418/145 is 2/13485

Least Common Multiple of 93,29,145 with GCF Formula

Least Common Multiple of 93,29,145 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 93,29,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,29,145) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(93,29,145) x common factors =1 x 29 = 29

LCM(93,29,145) = ( 93 × 29 × 145 ) / 29

LCM(93,29,145) = 391065 / 29

LCM(93,29,145) = 13485


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 358/93, 368/29, 418/145

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 358/93, 368/29, 418/145?

Answer: GCF of Numerators as per given numbers 358/93, 368/29, 418/145 is

GCF of Numerators i.e. for 358,368,418 is 2

LCM of denominators i.e. for 93,29,145 is 13485.

Thus, GCF of Fractions is 2/13485.Finally, GCF of Fractions for 358/93, 368/29, 418/145 is 2/13485.