How to Find GCF of 6/316, 38/967, 22/272?

GCF of 6/316, 38/967, 22/272

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 6/316, 38/967, 22/272 i.e 2/20778896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/316, 38/967, 22/272.

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 6/316,38/967,22/272?

Given fractions are 6/316,38/967,22/272

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 6/316,38/967,22/272, numerators are 6,38,22

Denominators are 316,967,272

The GCF of 6,38,22 is 2 .

LCM of 316,967,272 is 20778896.

The greatest common factor of 6/316,38/967,22/272 = [GCF of 6,38,22]/[LCM of 316,967,272]= 2/20778896

Therefore, the GCF of 6/316,38/967,22/272 is 2/20778896.

Greatest Common Factor of 6,38,22

To find the highest common factor of 6,38,22, we have to find the factors of both numbers and list the highest common factor.

The factors of 6 are 1, 2, 3, 6

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

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

The HCF of 6,38,22 is 2.

Lets's calculate GCF of 6,38,22

Greatest Common Factor (GCF) of 6,38,22 By Common Division

2	6, 38, 22
	3, 19, 11

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

Greatest Common Factor of 6,38,22 By Matching Biggest Common Factor Method

Now, list down the factors of 6

1,2,3,6

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 22

1,2,11,22

Greatest Common Factor

We found the factors 6,38,22 . The biggest common factor number is the GCF number.
So the greatest common factor 6,38,22 is 2.

Lets's calculate LCM of 316,967,272

Lowest Common Multiple of 316,967,272 using Common Division

2	316, 967, 272
2	158, 967, 136
	79, 967, 68

∴ So the LCM of the given numbers is 2 x 2 x 79 x 967 x 68 = 20778896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20778896

Therefore, the GCF of Fractions 6/316,38/967,22/272 is 2/20778896

Least Common Multiple of 316,967,272 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 316,967,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,967,272) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(316,967,272) x common factors =1 x 4 = 4

LCM(316,967,272) = ( 316 × 967 × 272 ) / 4

LCM(316,967,272) = 83115584 / 4

LCM(316,967,272) = 20778896

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6/316, 38/967, 22/272

1. What is the HCF of 6,38,22?

The HCF of 6,38,22 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 6/316, 38/967, 22/272?

Answer: GCF of Numerators as per given numbers 6/316, 38/967, 22/272 is

GCF of Numerators i.e. for 6,38,22 is 2

LCM of denominators i.e. for 316,967,272 is 20778896.

Thus, GCF of Fractions is 2/20778896.Finally, GCF of Fractions for 6/316, 38/967, 22/272 is 2/20778896.