Greatest Common Factor of 93/33, 291/34, 889/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 93/33, 291/34, 889/490

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 93/33,291/34,889/490

Given fractions are 93/33,291/34,889/490

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 93,291,889

Greatest Common Factor of Numerators i.e. GCF of 93,291,889 is 1 .

LCM of Denominators means LCM of 33,34,490 as per the given fractions.

LCM of 33,34,490 is 274890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 93,291,889

GCF of Fractions 93/33,291/34,889/490 is 1/274890

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

Greatest Common Factor of 93,291,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,291,889 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 93,291,889 . The biggest common factor number is the GCF number.
So the greatest common factor 93,291,889 is 1.

Lets's calculate LCM of 33,34,490

2 33, 34, 490
33, 17, 245

∴ So the LCM of the given numbers is 2 x 33 x 17 x 245 = 274890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274890

Therefore, the GCF of Fractions 93/33,291/34,889/490 is 1/274890

Least Common Multiple of 33,34,490 with GCF Formula

Least Common Multiple of 33,34,490 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 33,34,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,34,490) = 1

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

GCF(33,34,490) x common factors =1 x 2 = 2

LCM(33,34,490) = ( 33 × 34 × 490 ) / 2

LCM(33,34,490) = 549780 / 2

LCM(33,34,490) = 274890


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 93/33, 291/34, 889/490

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 93/33, 291/34, 889/490?

Answer: GCF of Numerators as per given numbers 93/33, 291/34, 889/490 is

GCF of Numerators i.e. for 93,291,889 is 1

LCM of denominators i.e. for 33,34,490 is 274890.

Thus, GCF of Fractions is 1/274890.Finally, GCF of Fractions for 93/33, 291/34, 889/490 is 1/274890.