Greatest Common Factor of 495/85, 202/27, 551/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 495/85, 202/27, 551/272

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 495/85,202/27,551/272

Given fractions are 495/85,202/27,551/272

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 495,202,551

Greatest Common Factor of Numerators i.e. GCF of 495,202,551 is 1 .

LCM of Denominators means LCM of 85,27,272 as per the given fractions.

LCM of 85,27,272 is 36720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 495,202,551

GCF of Fractions 495/85,202/27,551/272 is 1/36720

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

Greatest Common Factor of 495,202,551 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,202,551 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 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Greatest Common Factor

We found the factors 495,202,551 . The biggest common factor number is the GCF number.
So the greatest common factor 495,202,551 is 1.

Lets's calculate LCM of 85,27,272

17 85, 27, 272
5, 27, 16

∴ So the LCM of the given numbers is 17 x 5 x 27 x 16 = 36720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36720

Therefore, the GCF of Fractions 495/85,202/27,551/272 is 1/36720

Least Common Multiple of 85,27,272 with GCF Formula

Least Common Multiple of 85,27,272 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 85,27,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,27,272) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(85,27,272) x common factors =1 x 17 = 17

LCM(85,27,272) = ( 85 × 27 × 272 ) / 17

LCM(85,27,272) = 624240 / 17

LCM(85,27,272) = 36720


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 495/85, 202/27, 551/272

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 495/85, 202/27, 551/272?

Answer: GCF of Numerators as per given numbers 495/85, 202/27, 551/272 is

GCF of Numerators i.e. for 495,202,551 is 1

LCM of denominators i.e. for 85,27,272 is 36720.

Thus, GCF of Fractions is 1/36720.Finally, GCF of Fractions for 495/85, 202/27, 551/272 is 1/36720.