Greatest Common Factor of 495/33, 262/30, 166/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 495/33, 262/30, 166/361

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 495/33,262/30,166/361

Given fractions are 495/33,262/30,166/361

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 495,262,166

Greatest Common Factor of Numerators i.e. GCF of 495,262,166 is 1 .

LCM of Denominators means LCM of 33,30,361 as per the given fractions.

LCM of 33,30,361 is 119130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 495,262,166

GCF of Fractions 495/33,262/30,166/361 is 1/119130

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

Greatest Common Factor of 495,262,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,262,166 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 495,262,166 . The biggest common factor number is the GCF number.
So the greatest common factor 495,262,166 is 1.

Lets's calculate LCM of 33,30,361

3 33, 30, 361
11, 10, 361

∴ So the LCM of the given numbers is 3 x 11 x 10 x 361 = 119130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119130

Therefore, the GCF of Fractions 495/33,262/30,166/361 is 1/119130

Least Common Multiple of 33,30,361 with GCF Formula

Least Common Multiple of 33,30,361 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 33,30,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,30,361) = 1

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

GCF(33,30,361) x common factors =1 x 3 = 3

LCM(33,30,361) = ( 33 × 30 × 361 ) / 3

LCM(33,30,361) = 357390 / 3

LCM(33,30,361) = 119130


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 495/33, 262/30, 166/361

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 495/33, 262/30, 166/361?

Answer: GCF of Numerators as per given numbers 495/33, 262/30, 166/361 is

GCF of Numerators i.e. for 495,262,166 is 1

LCM of denominators i.e. for 33,30,361 is 119130.

Thus, GCF of Fractions is 1/119130.Finally, GCF of Fractions for 495/33, 262/30, 166/361 is 1/119130.