How to Find GCF of 47/29, 775/23, 208/744?

GCF of 47/29, 775/23, 208/744

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 47/29, 775/23, 208/744 i.e 1/496248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 47/29, 775/23, 208/744.

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 47/29,775/23,208/744?

Given fractions are 47/29,775/23,208/744

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 47/29,775/23,208/744, numerators are 47,775,208

Denominators are 29,23,744

The GCF of 47,775,208 is 1 .

LCM of 29,23,744 is 496248.

The greatest common factor of 47/29,775/23,208/744 = [GCF of 47,775,208]/[LCM of 29,23,744]= 1/496248

Therefore, the GCF of 47/29,775/23,208/744 is 1/496248.

Greatest Common Factor of 47,775,208

To find the highest common factor of 47,775,208, we have to find the factors of both numbers and list the highest common factor.

The factors of 47 are 1, 47

The factors of 775 are 1, 5, 25, 31, 155, 775

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

The HCF of 47,775,208 is 1.

Lets's calculate GCF of 47,775,208

Greatest Common Factor (GCF) of 47,775,208 By Common Division

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

Greatest Common Factor of 47,775,208 By Matching Biggest Common Factor Method

Now, list down the factors of 47

1,47

Now, list down the factors of 775

1,5,25,31,155,775

Now, list down the factors of 208

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 47,775,208 . The biggest common factor number is the GCF number.
So the greatest common factor 47,775,208 is 1.

Lets's calculate LCM of 29,23,744

Lowest Common Multiple of 29,23,744 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 496248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/496248

Therefore, the GCF of Fractions 47/29,775/23,208/744 is 1/496248

Least Common Multiple of 29,23,744 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 29,23,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,23,744) = 1

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

GCF(29,23,744) x common factors =1 x 1 = 1

LCM(29,23,744) = ( 29 × 23 × 744 ) / 1

LCM(29,23,744) = 496248 / 1

LCM(29,23,744) = 496248

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FAQs on GCF of Fractions of 47/29, 775/23, 208/744

1. What is the HCF of 47,775,208?

The HCF of 47,775,208 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 47/29, 775/23, 208/744?

Answer: GCF of Numerators as per given numbers 47/29, 775/23, 208/744 is

GCF of Numerators i.e. for 47,775,208 is 1

LCM of denominators i.e. for 29,23,744 is 496248.

Thus, GCF of Fractions is 1/496248.Finally, GCF of Fractions for 47/29, 775/23, 208/744 is 1/496248.