How to Find GCF of 39/229, 11/445, 169/291?

GCF of 39/229, 11/445, 169/291

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 39/229, 11/445, 169/291 i.e 1/29654355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/229, 11/445, 169/291.

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 39/229,11/445,169/291?

Given fractions are 39/229,11/445,169/291

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 39/229,11/445,169/291, numerators are 39,11,169

Denominators are 229,445,291

The GCF of 39,11,169 is 1 .

LCM of 229,445,291 is 29654355.

The greatest common factor of 39/229,11/445,169/291 = [GCF of 39,11,169]/[LCM of 229,445,291]= 1/29654355

Therefore, the GCF of 39/229,11/445,169/291 is 1/29654355.

Greatest Common Factor of 39,11,169

To find the highest common factor of 39,11,169, we have to find the factors of both numbers and list the highest common factor.

The factors of 39 are 1, 3, 13, 39

The factors of 11 are 1, 11

The factors of 169 are 1, 13, 169

The HCF of 39,11,169 is 1.

Lets's calculate GCF of 39,11,169

Greatest Common Factor (GCF) of 39,11,169 By Common Division

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

Greatest Common Factor of 39,11,169 By Matching Biggest Common Factor Method

Now, list down the factors of 39

1,3,13,39

Now, list down the factors of 11

1,11

Now, list down the factors of 169

1,13,169

Greatest Common Factor

We found the factors 39,11,169 . The biggest common factor number is the GCF number.
So the greatest common factor 39,11,169 is 1.

Lets's calculate LCM of 229,445,291

Lowest Common Multiple of 229,445,291 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 29654355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29654355

Therefore, the GCF of Fractions 39/229,11/445,169/291 is 1/29654355

Least Common Multiple of 229,445,291 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 229,445,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,445,291) = 1

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

GCF(229,445,291) x common factors =1 x 1 = 1

LCM(229,445,291) = ( 229 × 445 × 291 ) / 1

LCM(229,445,291) = 29654355 / 1

LCM(229,445,291) = 29654355

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FAQs on GCF of Fractions of 39/229, 11/445, 169/291

1. What is the HCF of 39,11,169?

The HCF of 39,11,169 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 39/229, 11/445, 169/291?

Answer: GCF of Numerators as per given numbers 39/229, 11/445, 169/291 is

GCF of Numerators i.e. for 39,11,169 is 1

LCM of denominators i.e. for 229,445,291 is 29654355.

Thus, GCF of Fractions is 1/29654355.Finally, GCF of Fractions for 39/229, 11/445, 169/291 is 1/29654355.