Greatest Common Factor of 90/30, 674/39, 335/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/30, 674/39, 335/289

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 90/30,674/39,335/289

Given fractions are 90/30,674/39,335/289

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 90,674,335

Greatest Common Factor of Numerators i.e. GCF of 90,674,335 is 1 .

LCM of Denominators means LCM of 30,39,289 as per the given fractions.

LCM of 30,39,289 is 112710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,674,335

GCF of Fractions 90/30,674/39,335/289 is 1/112710

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

Greatest Common Factor of 90,674,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,674,335 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 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 90,674,335 . The biggest common factor number is the GCF number.
So the greatest common factor 90,674,335 is 1.

Lets's calculate LCM of 30,39,289

3 30, 39, 289
10, 13, 289

∴ So the LCM of the given numbers is 3 x 10 x 13 x 289 = 112710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112710

Therefore, the GCF of Fractions 90/30,674/39,335/289 is 1/112710

Least Common Multiple of 30,39,289 with GCF Formula

Least Common Multiple of 30,39,289 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 30,39,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,39,289) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(30,39,289) x common factors =1 x 3 = 3

LCM(30,39,289) = ( 30 × 39 × 289 ) / 3

LCM(30,39,289) = 338130 / 3

LCM(30,39,289) = 112710


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 90/30, 674/39, 335/289

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 90/30, 674/39, 335/289?

Answer: GCF of Numerators as per given numbers 90/30, 674/39, 335/289 is

GCF of Numerators i.e. for 90,674,335 is 1

LCM of denominators i.e. for 30,39,289 is 112710.

Thus, GCF of Fractions is 1/112710.Finally, GCF of Fractions for 90/30, 674/39, 335/289 is 1/112710.