How to Find GCF of 30/538, 273/354, 747/592?

GCF of 30/538, 273/354, 747/592

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 30/538, 273/354, 747/592 i.e 3/28186896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/538, 273/354, 747/592.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 30/538,273/354,747/592?

Given fractions are 30/538,273/354,747/592

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 30/538,273/354,747/592, numerators are 30,273,747

Denominators are 538,354,592

The GCF of 30,273,747 is 3 .

LCM of 538,354,592 is 28186896.

The greatest common factor of 30/538,273/354,747/592 = [GCF of 30,273,747]/[LCM of 538,354,592]= 3/28186896

Therefore, the GCF of 30/538,273/354,747/592 is 3/28186896.

Greatest Common Factor of 30,273,747

To find the highest common factor of 30,273,747, we have to find the factors of both numbers and list the highest common factor.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273

The factors of 747 are 1, 3, 9, 83, 249, 747

The HCF of 30,273,747 is 3.

Lets's calculate GCF of 30,273,747

Greatest Common Factor (GCF) of 30,273,747 By Common Division

3	30, 273, 747
	10, 91, 249

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 30,273,747 By Matching Biggest Common Factor Method

Now, list down the factors of 30

1,2,3,5,6,10,15,30

Now, list down the factors of 273

1,3,7,13,21,39,91,273

Now, list down the factors of 747

1,3,9,83,249,747

Greatest Common Factor

We found the factors 30,273,747 . The biggest common factor number is the GCF number.
So the greatest common factor 30,273,747 is 3.

Lets's calculate LCM of 538,354,592

Lowest Common Multiple of 538,354,592 using Common Division

2	538, 354, 592
	269, 177, 296

∴ So the LCM of the given numbers is 2 x 269 x 177 x 296 = 28186896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/28186896

Therefore, the GCF of Fractions 30/538,273/354,747/592 is 3/28186896

Least Common Multiple of 538,354,592 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 538,354,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,354,592) = 2

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

GCF(538,354,592) x common factors =2 x 2 = 4

LCM(538,354,592) = ( 538 × 354 × 592 ) / 4

LCM(538,354,592) = 112747584 / 4

LCM(538,354,592) = 28186896

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 30/538, 273/354, 747/592

1. What is the HCF of 30,273,747?

The HCF of 30,273,747 is 3

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 30/538, 273/354, 747/592?

Answer: GCF of Numerators as per given numbers 30/538, 273/354, 747/592 is

GCF of Numerators i.e. for 30,273,747 is 3

LCM of denominators i.e. for 538,354,592 is 28186896.

Thus, GCF of Fractions is 3/28186896.Finally, GCF of Fractions for 30/538, 273/354, 747/592 is 3/28186896.