How to Find GCF of 210/69, 422/93, 337/54?

GCF of 210/69, 422/93, 337/54

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 210/69, 422/93, 337/54 i.e 1/38502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 210/69, 422/93, 337/54.

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 210/69,422/93,337/54?

Given fractions are 210/69,422/93,337/54

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 210/69,422/93,337/54, numerators are 210,422,337

Denominators are 69,93,54

The GCF of 210,422,337 is 1 .

LCM of 69,93,54 is 38502.

The greatest common factor of 210/69,422/93,337/54 = [GCF of 210,422,337]/[LCM of 69,93,54]= 1/38502

Therefore, the GCF of 210/69,422/93,337/54 is 1/38502.

Greatest Common Factor of 210,422,337

To find the highest common factor of 210,422,337, we have to find the factors of both numbers and list the highest common factor.

The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

The factors of 422 are 1, 2, 211, 422

The factors of 337 are 1, 337

The HCF of 210,422,337 is 1.

Lets's calculate GCF of 210,422,337

Greatest Common Factor (GCF) of 210,422,337 By Common Division

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

Greatest Common Factor of 210,422,337 By Matching Biggest Common Factor Method

Now, list down the factors of 210

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Now, list down the factors of 422

1,2,211,422

Now, list down the factors of 337

1,337

Greatest Common Factor

We found the factors 210,422,337 . The biggest common factor number is the GCF number.
So the greatest common factor 210,422,337 is 1.

Lets's calculate LCM of 69,93,54

Lowest Common Multiple of 69,93,54 using Common Division

3	69, 93, 54
	23, 31, 18

∴ So the LCM of the given numbers is 3 x 23 x 31 x 18 = 38502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38502

Therefore, the GCF of Fractions 210/69,422/93,337/54 is 1/38502

Least Common Multiple of 69,93,54 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 69,93,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,93,54) = 3

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

GCF(69,93,54) x common factors =3 x 3 = 9

LCM(69,93,54) = ( 69 × 93 × 54 ) / 9

LCM(69,93,54) = 346518 / 9

LCM(69,93,54) = 38502

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 210/69, 422/93, 337/54

1. What is the HCF of 210,422,337?

The HCF of 210,422,337 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 210/69, 422/93, 337/54?

Answer: GCF of Numerators as per given numbers 210/69, 422/93, 337/54 is

GCF of Numerators i.e. for 210,422,337 is 1

LCM of denominators i.e. for 69,93,54 is 38502.

Thus, GCF of Fractions is 1/38502.Finally, GCF of Fractions for 210/69, 422/93, 337/54 is 1/38502.