Greatest Common Factor of 84/30, 82/73, 542/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/30, 82/73, 542/287

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 84/30,82/73,542/287

Given fractions are 84/30,82/73,542/287

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 84,82,542

Greatest Common Factor of Numerators i.e. GCF of 84,82,542 is 2 .

LCM of Denominators means LCM of 30,73,287 as per the given fractions.

LCM of 30,73,287 is 628530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,82,542

GCF of Fractions 84/30,82/73,542/287 is 2/628530

2 84, 82, 542
42, 41, 271

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 84,82,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,82,542 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 84,82,542 . The biggest common factor number is the GCF number.
So the greatest common factor 84,82,542 is 2.

Lets's calculate LCM of 30,73,287

Given numbers has no common factors except 1. So, there LCM is their product i.e 628530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/628530

Therefore, the GCF of Fractions 84/30,82/73,542/287 is 2/628530

Least Common Multiple of 30,73,287 with GCF Formula

Least Common Multiple of 30,73,287 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 30,73,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,73,287) = 1

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

GCF(30,73,287) x common factors =1 x 1 = 1

LCM(30,73,287) = ( 30 × 73 × 287 ) / 1

LCM(30,73,287) = 628530 / 1

LCM(30,73,287) = 628530


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 84/30, 82/73, 542/287

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 84/30, 82/73, 542/287?

Answer: GCF of Numerators as per given numbers 84/30, 82/73, 542/287 is

GCF of Numerators i.e. for 84,82,542 is 2

LCM of denominators i.e. for 30,73,287 is 628530.

Thus, GCF of Fractions is 2/628530.Finally, GCF of Fractions for 84/30, 82/73, 542/287 is 2/628530.