How to Find GCF of 29/38, 211/21, 580/299?

GCF of 29/38, 211/21, 580/299

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 29/38, 211/21, 580/299 i.e 1/238602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/38, 211/21, 580/299.

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 29/38,211/21,580/299?

Given fractions are 29/38,211/21,580/299

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 29/38,211/21,580/299, numerators are 29,211,580

Denominators are 38,21,299

The GCF of 29,211,580 is 1 .

LCM of 38,21,299 is 238602.

The greatest common factor of 29/38,211/21,580/299 = [GCF of 29,211,580]/[LCM of 38,21,299]= 1/238602

Therefore, the GCF of 29/38,211/21,580/299 is 1/238602.

Greatest Common Factor of 29,211,580

To find the highest common factor of 29,211,580, we have to find the factors of both numbers and list the highest common factor.

The factors of 29 are 1, 29

The factors of 211 are 1, 211

The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

The HCF of 29,211,580 is 1.

Lets's calculate GCF of 29,211,580

Greatest Common Factor (GCF) of 29,211,580 By Common Division

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

Greatest Common Factor of 29,211,580 By Matching Biggest Common Factor Method

Now, list down the factors of 29

1,29

Now, list down the factors of 211

1,211

Now, list down the factors of 580

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 29,211,580 . The biggest common factor number is the GCF number.
So the greatest common factor 29,211,580 is 1.

Lets's calculate LCM of 38,21,299

Lowest Common Multiple of 38,21,299 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 238602

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238602

Therefore, the GCF of Fractions 29/38,211/21,580/299 is 1/238602

Least Common Multiple of 38,21,299 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 38,21,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,21,299) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(38,21,299) x common factors =1 x 1 = 1

LCM(38,21,299) = ( 38 × 21 × 299 ) / 1

LCM(38,21,299) = 238602 / 1

LCM(38,21,299) = 238602

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FAQs on GCF of Fractions of 29/38, 211/21, 580/299

1. What is the HCF of 29,211,580?

The HCF of 29,211,580 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 29/38, 211/21, 580/299?

Answer: GCF of Numerators as per given numbers 29/38, 211/21, 580/299 is

GCF of Numerators i.e. for 29,211,580 is 1

LCM of denominators i.e. for 38,21,299 is 238602.

Thus, GCF of Fractions is 1/238602.Finally, GCF of Fractions for 29/38, 211/21, 580/299 is 1/238602.