How to Find GCF of 34/64, 164/82, 389/299?

GCF of 34/64, 164/82, 389/299

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 34/64, 164/82, 389/299 i.e 1/784576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/64, 164/82, 389/299.

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 34/64,164/82,389/299?

Given fractions are 34/64,164/82,389/299

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 34/64,164/82,389/299, numerators are 34,164,389

Denominators are 64,82,299

The GCF of 34,164,389 is 1 .

LCM of 64,82,299 is 784576.

The greatest common factor of 34/64,164/82,389/299 = [GCF of 34,164,389]/[LCM of 64,82,299]= 1/784576

Therefore, the GCF of 34/64,164/82,389/299 is 1/784576.

Greatest Common Factor of 34,164,389

To find the highest common factor of 34,164,389, we have to find the factors of both numbers and list the highest common factor.

The factors of 34 are 1, 2, 17, 34

The factors of 164 are 1, 2, 4, 41, 82, 164

The factors of 389 are 1, 389

The HCF of 34,164,389 is 1.

Lets's calculate GCF of 34,164,389

Greatest Common Factor (GCF) of 34,164,389 By Common Division

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

Greatest Common Factor of 34,164,389 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 164

1,2,4,41,82,164

Now, list down the factors of 389

1,389

Greatest Common Factor

We found the factors 34,164,389 . The biggest common factor number is the GCF number.
So the greatest common factor 34,164,389 is 1.

Lets's calculate LCM of 64,82,299

Lowest Common Multiple of 64,82,299 using Common Division

2	64, 82, 299
	32, 41, 299

∴ So the LCM of the given numbers is 2 x 32 x 41 x 299 = 784576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/784576

Therefore, the GCF of Fractions 34/64,164/82,389/299 is 1/784576

Least Common Multiple of 64,82,299 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 64,82,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,82,299) = 1

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

GCF(64,82,299) x common factors =1 x 2 = 2

LCM(64,82,299) = ( 64 × 82 × 299 ) / 2

LCM(64,82,299) = 1569152 / 2

LCM(64,82,299) = 784576

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FAQs on GCF of Fractions of 34/64, 164/82, 389/299

1. What is the HCF of 34,164,389?

The HCF of 34,164,389 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 34/64, 164/82, 389/299?

Answer: GCF of Numerators as per given numbers 34/64, 164/82, 389/299 is

GCF of Numerators i.e. for 34,164,389 is 1

LCM of denominators i.e. for 64,82,299 is 784576.

Thus, GCF of Fractions is 1/784576.Finally, GCF of Fractions for 34/64, 164/82, 389/299 is 1/784576.