How to Find GCF of 34/401, 29/286, 340/244?

GCF of 34/401, 29/286, 340/244

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 34/401, 29/286, 340/244 i.e 1/13991692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/401, 29/286, 340/244.

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 34/401,29/286,340/244?

Given fractions are 34/401,29/286,340/244

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 34/401,29/286,340/244, numerators are 34,29,340

Denominators are 401,286,244

The GCF of 34,29,340 is 1 .

LCM of 401,286,244 is 13991692.

The greatest common factor of 34/401,29/286,340/244 = [GCF of 34,29,340]/[LCM of 401,286,244]= 1/13991692

Therefore, the GCF of 34/401,29/286,340/244 is 1/13991692.

Greatest Common Factor of 34,29,340

To find the highest common factor of 34,29,340, 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 29 are 1, 29

The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

The HCF of 34,29,340 is 1.

Lets's calculate GCF of 34,29,340

Greatest Common Factor (GCF) of 34,29,340 By Common Division

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

Greatest Common Factor of 34,29,340 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 29

1,29

Now, list down the factors of 340

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 34,29,340 . The biggest common factor number is the GCF number.
So the greatest common factor 34,29,340 is 1.

Lets's calculate LCM of 401,286,244

Lowest Common Multiple of 401,286,244 using Common Division

2	401, 286, 244
	401, 143, 122

∴ So the LCM of the given numbers is 2 x 401 x 143 x 122 = 13991692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13991692

Therefore, the GCF of Fractions 34/401,29/286,340/244 is 1/13991692

Least Common Multiple of 401,286,244 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 401,286,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,286,244) = 1

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

GCF(401,286,244) x common factors =1 x 2 = 2

LCM(401,286,244) = ( 401 × 286 × 244 ) / 2

LCM(401,286,244) = 27983384 / 2

LCM(401,286,244) = 13991692

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 34/401, 29/286, 340/244

1. What is the HCF of 34,29,340?

The HCF of 34,29,340 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 34/401, 29/286, 340/244?

Answer: GCF of Numerators as per given numbers 34/401, 29/286, 340/244 is

GCF of Numerators i.e. for 34,29,340 is 1

LCM of denominators i.e. for 401,286,244 is 13991692.

Thus, GCF of Fractions is 1/13991692.Finally, GCF of Fractions for 34/401, 29/286, 340/244 is 1/13991692.