How to Find GCF of 19/322, 27/294, 690/253?

GCF of 19/322, 27/294, 690/253

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 19/322, 27/294, 690/253 i.e 1/74382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 19/322, 27/294, 690/253.

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 19/322,27/294,690/253?

Given fractions are 19/322,27/294,690/253

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 19/322,27/294,690/253, numerators are 19,27,690

Denominators are 322,294,253

The GCF of 19,27,690 is 1 .

LCM of 322,294,253 is 74382.

The greatest common factor of 19/322,27/294,690/253 = [GCF of 19,27,690]/[LCM of 322,294,253]= 1/74382

Therefore, the GCF of 19/322,27/294,690/253 is 1/74382.

Greatest Common Factor of 19,27,690

To find the highest common factor of 19,27,690, we have to find the factors of both numbers and list the highest common factor.

The factors of 19 are 1, 19

The factors of 27 are 1, 3, 9, 27

The factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

The HCF of 19,27,690 is 1.

Lets's calculate GCF of 19,27,690

Greatest Common Factor (GCF) of 19,27,690 By Common Division

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

Greatest Common Factor of 19,27,690 By Matching Biggest Common Factor Method

Now, list down the factors of 19

1,19

Now, list down the factors of 27

1,3,9,27

Now, list down the factors of 690

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 19,27,690 . The biggest common factor number is the GCF number.
So the greatest common factor 19,27,690 is 1.

Lets's calculate LCM of 322,294,253

Lowest Common Multiple of 322,294,253 using Common Division

2	322, 294, 253
7	161, 147, 253
23	23, 21, 253
	1, 21, 11

∴ So the LCM of the given numbers is 2 x 7 x 23 x 1 x 21 x 11 = 74382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74382

Therefore, the GCF of Fractions 19/322,27/294,690/253 is 1/74382

Least Common Multiple of 322,294,253 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 322,294,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,294,253) = 1

common factors(in case of two or more numbers have common factors) = 322

GCF(322,294,253) x common factors =1 x 322 = 322

LCM(322,294,253) = ( 322 × 294 × 253 ) / 322

LCM(322,294,253) = 23951004 / 322

LCM(322,294,253) = 74382

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 19/322, 27/294, 690/253

1. What is the HCF of 19,27,690?

The HCF of 19,27,690 is 1

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 19/322, 27/294, 690/253?

Answer: GCF of Numerators as per given numbers 19/322, 27/294, 690/253 is

GCF of Numerators i.e. for 19,27,690 is 1

LCM of denominators i.e. for 322,294,253 is 74382.

Thus, GCF of Fractions is 1/74382.Finally, GCF of Fractions for 19/322, 27/294, 690/253 is 1/74382.