How to Find GCF of 29/47, 351/18, 161/749?

GCF of 29/47, 351/18, 161/749

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 29/47, 351/18, 161/749 i.e 1/633654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/47, 351/18, 161/749.

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 29/47,351/18,161/749?

Given fractions are 29/47,351/18,161/749

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 29/47,351/18,161/749, numerators are 29,351,161

Denominators are 47,18,749

The GCF of 29,351,161 is 1 .

LCM of 47,18,749 is 633654.

The greatest common factor of 29/47,351/18,161/749 = [GCF of 29,351,161]/[LCM of 47,18,749]= 1/633654

Therefore, the GCF of 29/47,351/18,161/749 is 1/633654.

Greatest Common Factor of 29,351,161

To find the highest common factor of 29,351,161, 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 351 are 1, 3, 9, 13, 27, 39, 117, 351

The factors of 161 are 1, 7, 23, 161

The HCF of 29,351,161 is 1.

Lets's calculate GCF of 29,351,161

Greatest Common Factor (GCF) of 29,351,161 By Common Division

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

Greatest Common Factor of 29,351,161 By Matching Biggest Common Factor Method

Now, list down the factors of 29

1,29

Now, list down the factors of 351

1,3,9,13,27,39,117,351

Now, list down the factors of 161

1,7,23,161

Greatest Common Factor

We found the factors 29,351,161 . The biggest common factor number is the GCF number.
So the greatest common factor 29,351,161 is 1.

Lets's calculate LCM of 47,18,749

Lowest Common Multiple of 47,18,749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 633654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/633654

Therefore, the GCF of Fractions 29/47,351/18,161/749 is 1/633654

Least Common Multiple of 47,18,749 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 47,18,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,18,749) = 1

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

GCF(47,18,749) x common factors =1 x 1 = 1

LCM(47,18,749) = ( 47 × 18 × 749 ) / 1

LCM(47,18,749) = 633654 / 1

LCM(47,18,749) = 633654

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FAQs on GCF of Fractions of 29/47, 351/18, 161/749

1. What is the HCF of 29,351,161?

The HCF of 29,351,161 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 29/47, 351/18, 161/749?

Answer: GCF of Numerators as per given numbers 29/47, 351/18, 161/749 is

GCF of Numerators i.e. for 29,351,161 is 1

LCM of denominators i.e. for 47,18,749 is 633654.

Thus, GCF of Fractions is 1/633654.Finally, GCF of Fractions for 29/47, 351/18, 161/749 is 1/633654.