Greatest Common Factor of 173/34, 484/86, 374/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 173/34, 484/86, 374/263

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 173/34,484/86,374/263

Given fractions are 173/34,484/86,374/263

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 173,484,374

Greatest Common Factor of Numerators i.e. GCF of 173,484,374 is 1 .

LCM of Denominators means LCM of 34,86,263 as per the given fractions.

LCM of 34,86,263 is 384506 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 173,484,374

GCF of Fractions 173/34,484/86,374/263 is 1/384506

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

Greatest Common Factor of 173,484,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,484,374 By Matching Biggest Common Factor Method

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 173,484,374 . The biggest common factor number is the GCF number.
So the greatest common factor 173,484,374 is 1.

Lets's calculate LCM of 34,86,263

2 34, 86, 263
17, 43, 263

∴ So the LCM of the given numbers is 2 x 17 x 43 x 263 = 384506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/384506

Therefore, the GCF of Fractions 173/34,484/86,374/263 is 1/384506

Least Common Multiple of 34,86,263 with GCF Formula

Least Common Multiple of 34,86,263 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 34,86,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,86,263) = 1

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

GCF(34,86,263) x common factors =1 x 2 = 2

LCM(34,86,263) = ( 34 × 86 × 263 ) / 2

LCM(34,86,263) = 769012 / 2

LCM(34,86,263) = 384506


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 173/34, 484/86, 374/263

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 173/34, 484/86, 374/263?

Answer: GCF of Numerators as per given numbers 173/34, 484/86, 374/263 is

GCF of Numerators i.e. for 173,484,374 is 1

LCM of denominators i.e. for 34,86,263 is 384506.

Thus, GCF of Fractions is 1/384506.Finally, GCF of Fractions for 173/34, 484/86, 374/263 is 1/384506.