Greatest Common Factor of 90/89, 258/74, 489/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/89, 258/74, 489/215

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 90/89,258/74,489/215

Given fractions are 90/89,258/74,489/215

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 90,258,489

Greatest Common Factor of Numerators i.e. GCF of 90,258,489 is 3 .

LCM of Denominators means LCM of 89,74,215 as per the given fractions.

LCM of 89,74,215 is 1415990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,258,489

GCF of Fractions 90/89,258/74,489/215 is 3/1415990

3 90, 258, 489
30, 86, 163

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 90,258,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,258,489 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 90,258,489 . The biggest common factor number is the GCF number.
So the greatest common factor 90,258,489 is 3.

Lets's calculate LCM of 89,74,215

Given numbers has no common factors except 1. So, there LCM is their product i.e 1415990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1415990

Therefore, the GCF of Fractions 90/89,258/74,489/215 is 3/1415990

Least Common Multiple of 89,74,215 with GCF Formula

Least Common Multiple of 89,74,215 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 89,74,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,74,215) = 1

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

GCF(89,74,215) x common factors =1 x 1 = 1

LCM(89,74,215) = ( 89 × 74 × 215 ) / 1

LCM(89,74,215) = 1415990 / 1

LCM(89,74,215) = 1415990


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 90/89, 258/74, 489/215

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 90/89, 258/74, 489/215?

Answer: GCF of Numerators as per given numbers 90/89, 258/74, 489/215 is

GCF of Numerators i.e. for 90,258,489 is 3

LCM of denominators i.e. for 89,74,215 is 1415990.

Thus, GCF of Fractions is 3/1415990.Finally, GCF of Fractions for 90/89, 258/74, 489/215 is 3/1415990.