How to Find GCF of 38/62, 22/82, 362/201?

GCF of 38/62, 22/82, 362/201

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 38/62, 22/82, 362/201 i.e 2/510942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/62, 22/82, 362/201.

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 38/62,22/82,362/201?

Given fractions are 38/62,22/82,362/201

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 38/62,22/82,362/201, numerators are 38,22,362

Denominators are 62,82,201

The GCF of 38,22,362 is 2 .

LCM of 62,82,201 is 510942.

The greatest common factor of 38/62,22/82,362/201 = [GCF of 38,22,362]/[LCM of 62,82,201]= 2/510942

Therefore, the GCF of 38/62,22/82,362/201 is 2/510942.

Greatest Common Factor of 38,22,362

To find the highest common factor of 38,22,362, we have to find the factors of both numbers and list the highest common factor.

The factors of 38 are 1, 2, 19, 38

The factors of 22 are 1, 2, 11, 22

The factors of 362 are 1, 2, 181, 362

The HCF of 38,22,362 is 2.

Lets's calculate GCF of 38,22,362

Greatest Common Factor (GCF) of 38,22,362 By Common Division

2	38, 22, 362
	19, 11, 181

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

Greatest Common Factor of 38,22,362 By Matching Biggest Common Factor Method

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 362

1,2,181,362

Greatest Common Factor

We found the factors 38,22,362 . The biggest common factor number is the GCF number.
So the greatest common factor 38,22,362 is 2.

Lets's calculate LCM of 62,82,201

Lowest Common Multiple of 62,82,201 using Common Division

2	62, 82, 201
	31, 41, 201

∴ So the LCM of the given numbers is 2 x 31 x 41 x 201 = 510942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/510942

Therefore, the GCF of Fractions 38/62,22/82,362/201 is 2/510942

Least Common Multiple of 62,82,201 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 62,82,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,82,201) = 1

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

GCF(62,82,201) x common factors =1 x 2 = 2

LCM(62,82,201) = ( 62 × 82 × 201 ) / 2

LCM(62,82,201) = 1021884 / 2

LCM(62,82,201) = 510942

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 38/62, 22/82, 362/201

1. What is the HCF of 38,22,362?

The HCF of 38,22,362 is 2

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 38/62, 22/82, 362/201?

Answer: GCF of Numerators as per given numbers 38/62, 22/82, 362/201 is

GCF of Numerators i.e. for 38,22,362 is 2

LCM of denominators i.e. for 62,82,201 is 510942.

Thus, GCF of Fractions is 2/510942.Finally, GCF of Fractions for 38/62, 22/82, 362/201 is 2/510942.