How to Find GCF of 11/27, 437/68, 849/814?

GCF of 11/27, 437/68, 849/814

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 11/27, 437/68, 849/814 i.e 1/747252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/27, 437/68, 849/814.

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 11/27,437/68,849/814?

Given fractions are 11/27,437/68,849/814

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 11/27,437/68,849/814, numerators are 11,437,849

Denominators are 27,68,814

The GCF of 11,437,849 is 1 .

LCM of 27,68,814 is 747252.

The greatest common factor of 11/27,437/68,849/814 = [GCF of 11,437,849]/[LCM of 27,68,814]= 1/747252

Therefore, the GCF of 11/27,437/68,849/814 is 1/747252.

Greatest Common Factor of 11,437,849

To find the highest common factor of 11,437,849, we have to find the factors of both numbers and list the highest common factor.

The factors of 11 are 1, 11

The factors of 437 are 1, 19, 23, 437

The factors of 849 are 1, 3, 283, 849

The HCF of 11,437,849 is 1.

Lets's calculate GCF of 11,437,849

Greatest Common Factor (GCF) of 11,437,849 By Common Division

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

Greatest Common Factor of 11,437,849 By Matching Biggest Common Factor Method

Now, list down the factors of 11

1,11

Now, list down the factors of 437

1,19,23,437

Now, list down the factors of 849

1,3,283,849

Greatest Common Factor

We found the factors 11,437,849 . The biggest common factor number is the GCF number.
So the greatest common factor 11,437,849 is 1.

Lets's calculate LCM of 27,68,814

Lowest Common Multiple of 27,68,814 using Common Division

2	27, 68, 814
	27, 34, 407

∴ So the LCM of the given numbers is 2 x 27 x 34 x 407 = 747252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/747252

Therefore, the GCF of Fractions 11/27,437/68,849/814 is 1/747252

Least Common Multiple of 27,68,814 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 27,68,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,68,814) = 1

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

GCF(27,68,814) x common factors =1 x 2 = 2

LCM(27,68,814) = ( 27 × 68 × 814 ) / 2

LCM(27,68,814) = 1494504 / 2

LCM(27,68,814) = 747252

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FAQs on GCF of Fractions of 11/27, 437/68, 849/814

1. What is the HCF of 11,437,849?

The HCF of 11,437,849 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 11/27, 437/68, 849/814?

Answer: GCF of Numerators as per given numbers 11/27, 437/68, 849/814 is

GCF of Numerators i.e. for 11,437,849 is 1

LCM of denominators i.e. for 27,68,814 is 747252.

Thus, GCF of Fractions is 1/747252.Finally, GCF of Fractions for 11/27, 437/68, 849/814 is 1/747252.