Greatest Common Factor of 290/383, 405/427, 998/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 290/383, 405/427, 998/605

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 290/383,405/427,998/605

Given fractions are 290/383,405/427,998/605

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 290,405,998

Greatest Common Factor of Numerators i.e. GCF of 290,405,998 is 1 .

LCM of Denominators means LCM of 383,427,605 as per the given fractions.

LCM of 383,427,605 is 98942305 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 290,405,998

GCF of Fractions 290/383,405/427,998/605 is 1/98942305

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

Greatest Common Factor of 290,405,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,405,998 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 290,405,998 . The biggest common factor number is the GCF number.
So the greatest common factor 290,405,998 is 1.


Lets's calculate LCM of 383,427,605

Given numbers has no common factors except 1. So, there LCM is their product i.e 98942305

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98942305

Therefore, the GCF of Fractions 290/383,405/427,998/605 is 1/98942305

Least Common Multiple of 383,427,605 with GCF Formula

Least Common Multiple of 383,427,605 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 383,427,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,427,605) = 1

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

GCF(383,427,605) x common factors =1 x 1 = 1

LCM(383,427,605) = ( 383 × 427 × 605 ) / 1

LCM(383,427,605) = 98942305 / 1

LCM(383,427,605) = 98942305


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 290/383, 405/427, 998/605

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 290/383, 405/427, 998/605?

Answer: GCF of Numerators as per given numbers 290/383, 405/427, 998/605 is

GCF of Numerators i.e. for 290,405,998 is 1

LCM of denominators i.e. for 383,427,605 is 98942305.

Thus, GCF of Fractions is 1/98942305.Finally, GCF of Fractions for 290/383, 405/427, 998/605 is 1/98942305.