Greatest Common Factor of 273/17, 569/91, 388/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 273/17, 569/91, 388/775

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 273/17,569/91,388/775

Given fractions are 273/17,569/91,388/775

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 273,569,388

Greatest Common Factor of Numerators i.e. GCF of 273,569,388 is 1 .

LCM of Denominators means LCM of 17,91,775 as per the given fractions.

LCM of 17,91,775 is 1198925 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 273,569,388

GCF of Fractions 273/17,569/91,388/775 is 1/1198925

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

Greatest Common Factor of 273,569,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,569,388 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 569

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

1,569

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 273,569,388 . The biggest common factor number is the GCF number.
So the greatest common factor 273,569,388 is 1.

Lets's calculate LCM of 17,91,775

Given numbers has no common factors except 1. So, there LCM is their product i.e 1198925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1198925

Therefore, the GCF of Fractions 273/17,569/91,388/775 is 1/1198925

Least Common Multiple of 17,91,775 with GCF Formula

Least Common Multiple of 17,91,775 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 17,91,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,91,775) = 1

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

GCF(17,91,775) x common factors =1 x 1 = 1

LCM(17,91,775) = ( 17 × 91 × 775 ) / 1

LCM(17,91,775) = 1198925 / 1

LCM(17,91,775) = 1198925


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 273/17, 569/91, 388/775

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 273/17, 569/91, 388/775?

Answer: GCF of Numerators as per given numbers 273/17, 569/91, 388/775 is

GCF of Numerators i.e. for 273,569,388 is 1

LCM of denominators i.e. for 17,91,775 is 1198925.

Thus, GCF of Fractions is 1/1198925.Finally, GCF of Fractions for 273/17, 569/91, 388/775 is 1/1198925.